Publications

2026

2025

• Synchronization of identical oscillators on a sphere: Exact results with external forces and higher-order interactions, Guilherme S. Costa , Marcel Novaes , Ricardo Fariello  and Marcus A. M. de Aguiar. Phys. Rev. E112 (2025) 054216.

• The transition to speciation in the finite genome Derrida–Higgs model: a heuristic solution, Vitor M. Marquioni, Marcus A.M. de Aguiar, J. Phys. A: Math. Theor. 58 (2025) 175601.

• Exact solutions of the Kuramoto model with asymmetric higher order interactions of arbitrary order. Guilherme S. Costa, Marcel Novaes, Marcus A.M. de Aguiar. Chaos, Solitons and Fractals 195 116243 (2025).

2024

• Bifurcations in the Kuramoto model with external forcing and higher-order interactions, Guilherme S. Costa, Marcel Novaes and Marcus A. M. de Aguiar. Chaos 34 123133 (2024)
• Nuclear compensatory evolution driven by mito-nuclear incompatibilities, Débora Princepe, Marcus A.M. de Aguiar, PNAS 121(42) 2024, e2411672121
• Assortativity in sympatric speciation and species classification, Joao U. F. Lizarrafa,  Flavia M.D. Marquitti and Marcus A.M. de Aguiar, Physica A 653 (2024) 130111.
• Third order interactions shift the critical coupling in multidimensional Kuramoto models, Ricardo Fariello and Marcus A.M. de Aguiar, Chaos, Solitons and Fractals 187 (2024) 115467.

• Kuramoto variables as eigenvalues of unitary matrices, Marcel Novaes and M.A.M. de Aguiar, Phys. Rev. E 110, 024217 (2024)

• Caos em osciladores forçados sem amortecimento via mapas estroboscópicos, Ronaldo S.S. Vieira, Luiz H.R. Daniel, Marcus A.M. de Aguiar, Rev. Bras. Ensino Fís. 46 (2024)

• Order, chaos and dimensionality transition in a system of swarmalators, Joao U. F. Lizarraga, Kevin P. O’Keeffe, Marcus A. M. de Aguiar, Phys. Rev. E 109, 044209 (2024).

• A solvable two-dimensional swarmalator model, Kevin O’Keeffe, Gourab Kumar Sar, Md Sayeed Anwar, Joao U. F. Lizárraga, Marcus A. M. de Aguiar and Dibakar Ghosh. Proc. R. Soc. A 480: 20240448.

• Intermittent migration can induce pulses of speciation in a two-island system, Débora Princepe, Simone Czarnobai, Rodrigo A. Caetano, Flavia M. D. Marquitti, Marcus A. M. de Aguiar, and Sabrina B. L. Araujo, Evolution (2024) 78(4), 758-767.
• Exploring the phase diagrams of multidimensional Kuramoto models, Ricardo Fariello and Marcus A.M. de Aguiar, Chaos, Solitons & Fractals 179 (2024) 114431.
• Evolution of cooperation in a two-species system with a common resource pool, LFP Salles, MAM de Aguiar, FMD Marquitti,Journal of Theoretical Biology, 111670 (2024).
• On the numerical integration of the multidimensional Kuramoto model, Marcus A.M. de Aguiar, Braz. J. Physics (2024) 54:119.

2023

• Indirect effects shape species fitness in coevolved mutualistic networks, Leandro G. Cosmo, Ana Paula A. Assis, Marcus A. M. de Aguiar, Mathias M. Pires, Alfredo Valido, Pedro Jordano, John N. Thompson, Jordi Bascompte & Paulo R. Guimarães Jr, Nature (2023). https://doi.org/10.1038
• Generalized frustration in the multidimensional Kuramoto model, Marcus A.M. de Aguiar, Phys. Rev. E 107 (2023) 044205.
• Synchronization of Sakaguchi swarmalators Joao U.F. Lizarraga and Marcus A.M. de Aguiar, Phys. Rev. E 108 (2023) 024212.

2022

• Diversity patterns and speciation processes in a two-island system with continuous migration, Débora Princepe, Simone Czarnobai, Thiago M. Pradella, Rodrigo A. Caetano, Flavia M. D. Marquitti, Marcus A.M. de Aguiar, Sabrina B. L. Araujo, Evolution 76 (2022) 2260 https://doi.org/10.1111/evo.14603
• Extinctions and hybridizations in a neutral model of speciation, Larissa Lubiana Botelho,  Flavia Maria Darcie Marquitti and Marcus A. M. de Aguiar, J. Phys. A55 (2022) 385601.
  
• Mito-nuclear selection induces a trade-off between species ecological dominance and evolutionary lifespan, Débora Princepe, M.A.M. de Aguiar and Joshua B. Plotkin, Nature Ecology & Evolution 6(12), 1992-2002.
• Matrix coupling and generalized frustration in Kuramoto oscillators, Guilhermo L. Buzanello, Ana Elisa D. Barioni, and Marcus A. M. de Aguiar, Chaos 32 (2022) 093130.

2021

• Modeling Mito-nuclear Compatibility and its Role in Species Identification Débora Princepe and Marcus A. M. de Aguiar, Systematic Biology 70 (2021) 133-144.
• Complexity reduction in the 3D Kuramoto model Ana Elisa D. Barioni, Marcus A. M. de Aguiar, Chaos, Solitions and Fractals 149 (2021) 111090.
• Shannon information criterion for low-high diversity transition in Moran and Voter models Gabriella D. Franco, Flavia M. D. Marquitti, Lucas D. Fernandes, Dan Braha, Marcus A.M. de Aguiar, Phys. Rev. E 104 (2021) 024315.
• Modeling neutral viral mutations in the spread of SARS-CoV-2 epidemics Vitor M. Marquioni and Marcus A.M. de Aguiar, PLoS ONE 16(7): e0255438.
  
• Ott-Antonsen ansatz for the D-dimensional Kuramoto model: a constructive approach,  Ana Elisa D. Barioni and Marcus A.M. de Aguiar, Chaos 31, 113141 (2021).

2020

• Sympatric speciation based on pure assortative mating Rodrigo A Caetano, Sergio Sanchez, Carolina L.N. Costa, Marcus A.M. de Aguiar, J. Phys. A: Math. Theor.  53 (2020) 155602.
• Synchronization and spatial patterns in forced swarmalators Joao U.F. Lizarraga and Marcus A.M. de Aguiar, Chaos 30, 053112 (2020).
  
• The indirect paths to cascading effects of extinctions in mutualistic networks Mathias Pires et al, Ecology e030080 (2020).
• Allopatry increases the balance of phylogenetic trees during radiation under neutral speciation Flávia M.D. Marquitti, Lucas D. Fernandes and Marcus A.M. de Aguiar, Ecography 43 (2020) 1-12.
• Quantifying the effects of quarantine using an IBM SEIR model on scalefree networks  Vitor M. Marquioni and Marcus A.M. de Aguiar, Chaos, Solitons and Fractals 138 (2020) 109999,  arXiv:2005.14127 [q-bio.PE] 
• Diverse interactions and ecosystem engineering can stabilize community assembly Justin D Yeakel, Mathias M Pires, Marcus AM de Aguiar, James L O’Donnell, Paulo R Guimarães, Dominique Gravel, Thilo Gross Nature Communications 11 (2020) 3307.

2019

• Revealing biases in the sampling of ecological interaction networks de Aguiar MAM, Newman EA, Pires MM, Yeakel JD, Boettiger C, Burkle LA, Gravel D, Guimarães PR, O’Donnell JL, Poisot T, Fortin M-J, Hembry DH. PeerJ, (2019) DOI 10.7717/peerj.7566
• Coevolution Creates Complex Mosaics across Large Landscapes Lucas D. Fernandes, Paula Lemos-Costa, Paulo R. Guimarães, John N. Thompson and Marcus A.M.de Aguiar, The American Naturalist 194 (2019) 217-229.
• Modular structure in C. elegans neural network and its response to external localized stimuli Carolina A. Moreira and Marcus A.M. de Aguiar, Physica A 533 (2019) 122051
• Global synchronization of partially forced Kuramoto oscillators on Networks Carolina A. Moreira and Marcus A.M. de Aguiar, Physica A 514 (2019) 487–496
• Signatures of microevolutionary processes in phylogenetic patterns Carolina L. N. Costa, Paula Lemos-Costa, Flavia M. D. Marquitti, Lucas D. Fernandes. Marlon F. Ramos, David M. Schneider, Ayana B. Martins, Marcus A.M. de Aguiar, Systematic Biology 68 (2019) 131

2018

• Registering the evolutionary history in individual-based models of speciation Carolina L. N. Costa, Flavia M. D. Marquitti, S. Ivan Perez, David M. Schneider, Marlon F. Ramos, Marcus A.M. de Aguiar, Physica A 510 (2018) 1-14.
  

2017

•  Speciation in the Derrida-Higgs model with finite genomes and spatial populations Marcus A.M. de Aguiar, J. Phys. A: Math. Theor. 50(8) (2017) 085602  https://doi.org/10.1088/1751-8121/aa5701
• Barriers to gene flow and ring species formation Ayana B. Martins and Marcus A.M. de Aguiar, Evolution 71(2) (2017) 442-448, doi:10.1111/evo.13121

2016

• Coevolution in sexually reproducing populations of predators and prey Micael E. Nagai, Marcus A.M. de Aguiar, Ecological Modelling 337 (2016) 168–175.

• The mutation-drift balance in spatially structured populations David M. Schneider, Marcus A.M. de Aguiar, Ayana B. Martins, J. Theor. Biol. 402 (2016) 9-17.
• Suppression of Fermi acceleration in composite particles Kellen M. Siqueira, M.AM. de Aguiar, Physica D 331 (2016) 81-88.
• Network analyses support the role of prey preferences in shaping resource use patterns within five animal populations Paula Lemos-Costa, Mathias M. Pires, Márcio S. Araújo, Marucus A.M. de Aguiar and Paulo R. Guimarães Jr., Oikos 125 (2016) 492-501.
• Topological structures in the Husimi flow  Matheus Veronez and Marcus A.M. de Aguiar, J. Phys. A 49 (2016) 065301.
• Diploid versus Haploid models of neutral speciation David  M. Schneider, Elizabeth M. Baptestini, Marcus A.M. de Aguiar, J. Biol. Phys.  (2016) DOI 10.1007/s10867-015-9404-1

• Multiconfigurational quantum propagation with trajectory-guided generalized coherent states Adriano Grigolo, Thiago F. Viscondi and M.A.M. de Aguiar, J. Chem. Phys. 144 (2016) 094106.

2015

• Binary dynamics on star networks under external perturbations Carolina A. Moreira, David M. Schneider and Marcus A.M. de Aguiar, Phys. Rev. E 92 (2015) 042812.
• The network organization of protein interactions in the spliceosome is reproduced by the simple rules of food-web models. Mathias M. Pires, Maurício Cantor, Paulo R. Guimarães, Marcus A. M. de Aguiar, Sérgio F. dos Reis and Patricia P. Coltri. Scientific Reports  5:14865. DOI: 10.1038/srep14865

• Pleistocene megafaunal interaction networks became more vulnerable after human arrival Mathias M. Pires. Paul L. Koch, Richard A. Farina, Marcus A. M. de Aguiar, Sergio F. dos Reis and Paulo R. Guimaraes Jr.  Proc. R. Soc. B 282: 20151367. http://dx.doi.org/10.1098/rspb.2015.1367

• Anticipating Economic Market Crises Using Measures of Collective Panic Harmon D, Lagi M, de Aguiar MAM, Chinellato DD, Braha D, Epstein IR, et al. PLoS ONE 10(7) (2015) e0131871. doi:10.1371/journal.pone.0131871

• Error catastrophe in populations under similarity-essential recombination Marcus A.M. de Aguiar, David M. Schneider, Eduardo do Carmo, Paulo R. A. Campos, Ayana B. Martins, J. Theor. Biol. 374 (2015) 48-53, 10.1016/j.jtbi.2015.03.028. Supplementary Material.
• Dynamical response of networks under external perturbations: exact results  David D. Chinellato, Irving R. Epstein, Dan Braha, Yaneer Bar-Yam and Marcus A. M. de Aguiar, J. Stat. Phys. 159(2) (2015) 221-230. DOI 10.1007/s10955-015-1189-x
• A dynamical analysis of allele frequencies in populations evolving under assortative mating and mutations D.M. Schneider, E. do Carmo and M.A.M. de Aguiar. Physica A 421 (2015) 54-68.

2014

• Toward a theory of topopatric speciation: The role of genetic assortative mating D.M. Schneider, A. B. Martins, E. do Carmo and M.A.M. de Aguiar. Physica A 409 (2014) 35.
• Synchronisation and stability in river metapopulation networks J.D. Yeakel, J.W. Moore, P.R. Guimaraes Jr. and M.A.M. de Aguiar, Ecol. Lett. 17 (2014) 273-283.

2013

• Phase space flow in the Husimi representation M. Veronez and M.A.M. de Aguiar. J. Phys. A: Math. Theor. 46 (2013) 485304.
• Conditions for Neutral Speciation via Isolation by distance E. M. Baptestini, M.A.M. de Aguiar and Y. Bar-Yam. J. Theor. Biol. 335 (2013) 51.
• Evolution and Stability of Ring Species Ayana B. Martins, M.A.M. de Aguiar and Y. Bar-Yam. PNAS 110(13) (2013) 5080.
• The role of sex separation in neutral speciation Elizabeth M. Baptestini, M.A.M. de Aguiar and Y. Bar-Yam. J. Theor. Ecol. 6 (2013) 213, DOI 10.1007/s12080-012-0172-2.
• Impacts of enemy-mediated effects and the additivity of interactions in an insect trophic system Carolina Reigada, Sabrina B.L. Araujo, M.A.M. de Aguiar, Juliana Z. Giao, Paulo R. Guimaraes Jr.,Luzia A. Trinca and Wesley A. C. Godoy. Population Ecology 55 (2013) 11.

2012

• Turing patterns and apparent competition in predator-prey food webs on networks Lucas D. Fernandes and M.A.M. de Aguiar. Phys. Rev. E 86 (2012) 056203.
• Robustness Against Extinction by Stochastic Sex Determination in Small Populations David M. Schneider, Eduardo do Carmo, Yaneer Bar-Yam and M.A.M. de Aguiar. Phys. Rev. E 86 (2012) 041104.
• Energy transfer dynamics and thermalization of two oscillators interacting via chaos M.A. Marchiori, R. Fariello and M.A.M. de Aguiar. Phys. Rev. E 85 (2012) 041119.
• Biodiversity, species interactions and ecological networks in a fragmented world. M. Hagen, W.D. Kissling, C. Rasmussen, M.A.M. de Aguiar, L.E. Brown, D.W. Carstensen et al.. Advances in Ecological Research, 46 (2012) 89-210.
• O papel do espaço em modelos ecológicos Sabrina B.L. Araujo e M.A.M. de Aguiar. Oecologia Australis (2012) 16(1): 117-126.
• Host-parasitoid persistence over variable spatio-temporally susceptible habitats: bottom-up effects of ephemeral resources Carolina Reigada and M.A.M. de Aguiar. Oikos (2012) 121:1665-1679.
• Patch exploitation strategies of parasitoids: the role of sex ratio and forager’s interference in structuring metapopulations Carolina Reigada, Sabrina B.L. Araujo and M.A.M. de Aguiar. Ecological Modelling 230 (2012) 11.

2011

• The Moran model as a dynamical process on networks and its implications for neutral speciation M.A.M. de Aguiar and Y. Bar-Yam. Phys. Rev. E84 (2011) 031901.
• Energy Dissipation Via Coupling With a Finite Chaotic Environment M.A. Marchiori and M.A.M. de Aguiar. Phys. Rev. E83 (2011) 061112.
• Semiclassical propagator for SU(n) coherent states Thiago F. Viscondi and M.A.M. de Aguiar. J. Math. Phys. 52 (2011) 052104.
• Initial value representation for the SU(n) semiclassical propagator Thiago F. Viscondi and M.A.M. de Aguiar. J. Chem. Phys. 134 (2011) 234105.
• The Missing Part of Seed Dispersal Networks: Structure and Robustness of Bat-Fruit Interactions M.A.R. Mello, F.M.D. Marquitti, P.R. Guimaraes Jr., E.K.V. Kalko, P. Jordano, M.A.M. de Aguiar. PLoS ONE 6 (2011) e17395
• The Modularity of seed dispersal: differences in structure and robustness between bat- and bird- fruit networks M.A.R. Mello, F.M.D. Marquitti, P.R. Guimaraes Jr., E.K.V. Kalko, P. Jordano, M.A.M. de Aguiar. Oecologia (2011) DOI 10.1007/s00442-011-1984-2.

2010

• Multilevel and kin selection in a connected world M. J. Wade et al. Nature 463 (2010) E8 doi:10.1038/nature08809.
• An Initial Value Representation for the Coherent State Propagator with Complex Trajectories Marcus A.M. de Aguiar, Silvio S. Vitiello and Adriano Grigolo. Chemical Physics 370 (2010) 42-50.
• The role of predator overlap in the robustness and extinction of a four species predator-prey network Andreia N.S. Hisi, Paulo R. Guimaraes Jr. and Marcus A.M. de Aguiar. Physica A 389 (2010) 4725.
• Home range evolution and its implication in population outbreaks Sabrina B.L. Araujo, Ghandi M. Viswanathan and Marcus A.M. de Aguiar. Phil. Trans. R. Society A 368 (2010) 5661.
• Especiação espontânea em populações espacialmente distribuidas e padrões de diversidade Elizabeth M. Baptestini e Marcus A.M. de Aguiar. Ciência e Ambiente, vol.39, pag.85 (2010)

2009

• Global patterns of speciation and diversity M. A. M. de Aguiar, M. Baranger, E. M. Baptestini, L. Kaufman and Y. Bar-Yam. Nature 460 (2009) 384
• Searching for Modular Structure in Complex Phenotypes: Inferences from Network Theory S. Ivan Perez, M. A. M. de Aguiar, P.R. Guimaraes Jr., S.F. dos Reis. Evol. Bio. 36 (2009) 416-422.
• The shape of the competition and carrying capacity kernels affects the likelihood of disruptive selection E. M. Baptestini,M. A. M. de Aguiar, D. I. Bolnick, M. S. Araujo. J. Theor. Biology 259 (2009) 5-11
• A conjugate for the Bargmann representation A.D. Ribeiro, F. Parisio and Marcus A.M. de Aguiar. J. Phys. A42 (2009) 105301.

2008

• Evolution in Spatial Predator-Prey Models and the Prudent Predator: The Inadequacy of Steady-State Organism Fitness and the Concept of Individual and Group Selection C. Goodnight, E. Rauch, H. Sayama, M. A.M. de Aguiar, M. Baranger and Yaneer Bar-Yam. Complexity 13, 23 (2008).
• Quantum-classical correspondence in the phase control of multiphoton dissociation by two-color laser pulses Emanuel F. de Lima and Marcus A.M. de Aguiar. Phys. Rev. A77 033406 (2008)
• Evaluation of the semiclassical coherent state propagator in the presence of phase space caustics Alexandre D. Ribeiro and M.A.M. de Aguiar. J. Phys. Conf. Series 99 012016 (2008).
• Controlling Phase Space Caustics in the Semiclassical Coherent State Propagator Alexandre D. Ribeiro and M.A.M. de Aguiar. Annals of Physics 323, 654-672 (2008).
• Synchronization and Stability in Noisy Population Dynamics Sabrina B.L. Araujo and Marcus A.M. de Aguiar. Phys. Rev. E77, 022903 (2008).

2007

• Trace formula for systems with spin from the coherent state propagator A.D. Ribeiro, Marcus A.M. de Aguiar, A.F.R. de Toledo Piza. J. Math. Phys. 48, 112103 (2007).
• Build-up mechanisms determining the topology of mutualistic networks P.R. Guimaraes, G. Machado, M.A.M de Aguiar, P. Jordano, J. Bascompte, A. Pinheiro, S. F. dos Reis. Journal of Theoretical Biology 249, 181 (2007).
• Pattern formation, outbreaks and synchronization in food chains with two and three species Sabrina B.L. Araújo and M.A.M. de Aguiar. Phys. Rev. E75 (2007) 061908.
• A semiclassical trace formula for the canonical partition function of one dimensional systems Fernando Parisio and M. A. M. de Aguiar. Physica A380 (2007) 211.
• Semiclassical Tunneling of Wavepackets with Real Trajectories L. Jaubert and M.A.M. de Aguiar. Physica Scripta 75 (2007) 363.

2006

• Coherent State Path Integrals in the Weyl Representation L.C. dos Santos and M.A.M. de Aguiar. J. Phys. A39 (2006) 13465
• Quantum Dissipation and Decoherence via Interaction with Low-Dimensional Chaos: a Feynman-Vernon Approach M.V.S. Bonança and M.A.M. de Aguiar, Phys. Rev. A74 (2006) 12105.
• Classical Dissipation and Asymptotic Equilibrium via Interaction with Chaotic Systems M.V.S. Bonança and M.A.M. de Aguiar, Physica A365 (2006) 333-350.
• Semiclassical coherent state propagator for systems with spin A.D. Ribeiro, M.A.M. de Aguiar and A.F.R. de Toledo Piza, J. Phys. A39 (2006) 3085-3097.
• Chaos and pattern formation in a spatial tritrophic food chain Daniela O. Maionchi, S. F. dos Reis and M. A. M. de Aguiar, Journal of Ecological Modelling 191 (2006) 219.

2005

• An analytically solvable model of probabilistic network dynamics M.A.M. de Aguiar, I.R. Epstein and Y. Bar-Yam, Phys. Rev. E72 (2005) 067102.
• A Regular Semiclassical Approximation for the Propagation of Wave Packets with Complex Trajectories Fernando Parisio and M.A.M. de Aguiar, J. Phys. A: Math. Gen. 38 (2005) 9317.
• Semiclassical propagation of coherent states using complex and real trajectories Marcel Novaes and M.A.M. de Aguiar, Phys. Rev. A72 (2005) 32105.
• A Uniform Approximation for the Coherent States Propagator using a Conjugate Application of the Bargmann Representation A. D. Ribeiro, M.Novaes and M.A.M. de Aguiar, Phys. Rev. Lett. 95 (2005) 050405.
• Einstein e a teoria do caos quantico M.A.M. de Aguiar, Rev. Bras. Ensino Fis. 27 (2005) 101.
• Semiclassical Propagation of Wavepackets with Real and Complex Trajectories M.A.M. de Aguiar, M. Baranger, L. Jaubert, Fernando Parisio and A.D. Ribeiro, J. Phys. A: Math. Gen. 38 (2005) 4645.
• Resonant helical deformations in nonhomogeneous Kirchhoff filaments A.F. Fonseca C.P. Malta and M.A.M. de Aguiar – Physica A352 (2005) 547.
• A New Form of Path Integral for the Coherent States Representation and its Semiclassical Limit L.C. dos Santos and M.A.M. de Aguiar, Braz. J. Phys. 35 (2005) 175.
• Random initial condition in small Barabasi-Albert networks and deviations from the scale-free behavior Paulo R. Guimaraes Jr, Marcus A. M. de Aguiar, Jordi Bascompte, Pedro Jordano and Sergio Furtado dos Reis, Phys. Rev. E71 (2005) 37101.
• Chaotic signature in the motion of coupled carbon nanotube oscillators V.R. Coluci, S.B. Legoas, M.A.M. de Aguiar and D.S. Galvao – Nanotechnology 16 (2005) 583.
• Semiclassical Husimi functions for spin systems M. Novaes and M.A.M. de Aguiar, Phys. Rev. A71 (2005) 12104.
• Spectral Analysis and the Dynamic Response of Complex Networks M.A.M. de Aguiar and Yaneer Bar-Yam, Phys. Rev. E71 (2005) 16106.

2004

• Entanglement and chaos in a square billiard with magnetic field M. Novaes and M.A.M. de Aguiar, Phys. Rev. E70 (2004) 045201 (Rapid Comm.).
• Quantum linear mutual information and classical correlations in globally pure bipartite systems R.M. Angelo, S. A. Vitiello, M.A.M. de Aguiar and K. Furuya, Physica A 338 (2004) 458 .
• Semiclassical Approximations Based on Complex Trajectories A.D. Ribeiro, M.A.M. de Aguiar and M. Baranger, Phys. Rev. E69 (2004) 066204.
• Invasion and Extinction in the Mean Field Approximation for a Spatial Host-Pathogen Model M.A.M. de Aguiar, E.M. Rauch and Y. Bar-Yam, J. Stat. Phys. 114 (2004) 1417.

2003

• A Semiclassical Coherent-State Propagator via Path Integrals with Intermediate States of Variable Width F. Parisio and M.A.M. de Aguiar, Phys. Rev. A68 (2003) 062112.
• Comment on “Semiclassical Approximations in Phase Space with Coherent States” M. Baranger, M.A.M. de Aguiar and H.J. Korsch – J. Phys. A: Math. Gen. 36 (2003) 9795.
• Robustness of Spontaneous Pattern Formation in Spatially Distributed Genetic Populations M.A.M. de Aguiar, Michel Baranger, Y. Bar-Yam and H. Sayama – Braz. J. Physics 33 (2003) 514.
• Interplay between Turing pattern formation and domain coarsening in spatially extended population models H. Sayama, M.A.M. de Aguiar, Y.Bar-Yam, and M. Baranger – FORMA 18:19-36 (2003).
• Solving the boundary value problem for finite Kirchhoff rods A.F. Fonseca and M.A.M. de Aguiar – Physica D181 (2003) 53-69.
• Generalized coherent states for the double-well potential M.Novaes, M.A.M. de Aguiar and J.E.M.Hornos – J. Phys. A: Math. Gen. 36 (2003) 5773-5786.
• Mean Field Approximation To a Spatial Host-Pathogen Model M.A.M. de Aguiar, E.M. Rauch and Y. Bar-Yam, Phys. Rev. E67,047102 (2003).

2002

• Reply to `Comment on “Semiclassical Approximations in Phase Space with Coherent States” ‘ M. Baranger, M.A.M. de Aguiar, F. Keck, H.J. Korsch and B. Schellaas – J. Phys. A: Math. Gen. 35 (2002) 9493.
• Short range interactions in a two-electron system: energy levels and magnetic properties L.G.G.V. Dias da Silva and M. A.M. de Aguiar – Phys. Rev. B66 (2002) 165309
• Spontaneous pattern formation and genetic invasion in locally mating and competing populations H. Sayama, M. A.M. de Aguiar, Y. Bar-Yam, and M. Baranger – Phys. Rev. E65 (2002) 051919
• Stability and Instability of Polymorphic Populations and the Role of Multiple Breeding Seasons in Phase III of Wright’s Shifting Balance Theory M. A.M. de Aguiar, H. Sayama, E.M. Rauch, Y. Bar-Yam, and M. Baranger – Phys. Rev. E65 (2002) 31909

2001

• Semiclassical approximations in phase-space with coherent states M. Baranger, M.A.M. de Aguiar, F. Keck H.J. Korsch and B. Schellaas – J. Phys. A: Math. Gen. 34 (2001) 7227-7286
• Scars of the Wigner function F. Toscano, M.A.M. de Aguiar and Alfredo M. Ozorio de Almeida – Phys. Rev. Lett 86 (2001) 59-62
• Near equilibrium dynamics of non-homogeneous Kirchhoff filaments in viscous mediaA.F. Fonseca and M.A.M. de Aguiar – Phys. Rev. E63 (2001) 016611 1-13

2000

• Periodic Orbits in Magnetic Billiards L.G.G.V.D. da Silva and M.A.M. de Aguiar – European Phys. Journal, B16 (2000) 719-728
• Chaos in one-dimensional lattices under intense laser fields M. A. M. de Aguiar, H. S. Brandi, Belita Koiller, and Eduardo R. Mucciolo – Eur. Phys. J. B14 (2000) 329-335

1998

• Orbital Magnetism in Ensembles of Parabolic Potentials – M.O. Terra, M.L. Tiago e M.A.M. de Aguiar – Phys. Rev. E58 (1998) 5146
• Effects of finite temperature in ballistic quantum dots– M.O. Terra and M.A.M. de Aguiar – Physica A257 (1998) 542
• Transitions Between Periodic Orbits and Control of Chaos Assisted by an External Force in Hamiltonian Systems – R.M. Angelo, K. Furuya and M. A. M. de Aguiar – Brazilian J. Phys. 28 (1998) 203

1997

• Phase-Space Approach to the Tunnel Effect: a New Semiclassical Traversal Time – A.L. Xavier Jr. e M.A.M. de Aguiar Phys. Rev. Lett. 79 (1997) 3323
• A Boundary Integral Method for Quantum Billiards in a Constant Magnetic Field– M.L. Tiago, T.O. de Carvalho e M.A.M. de Aguiar – Phys. Rev. E55 (1997) 65

1996

• Classical Chaos as an Enviroment for Dissipation– T.O. de Carvalho e M.A.M. de Aguiar – Phys. Rev. Lett. 76 (1996) 2690
• Eigenfunctions of the Liouville Operator, Periodic Orbits and the Principle of Uniformity– T.O. de Carvalho e M.A.M. de Aguiar J. Phys. A29 (1996) 3597-3615
• The Chaotic-to-Regular Transition in a Semiclassical Electron Gas – S.D.Prado e M.A.M. de Aguiar – Phys. Rev. E54 (1996) 1369-1377
• On the One-Dimensional Helium Atom – A. Lopez Castillo, M.A.M. de Aguiar e A.M. Ozorio de Almeida – J. Phys. B29 (1996) 197-206
• Semiclassical Coherent State Propagator for a Particle in a One-Dimensional Box – A.L. Xavier Jr. e M.A.M. de Aguiar – Phys. Rev. A54 (1996) 1808-1819
• Complex Trajectories in the Quartic Oscillator and its Semiclassical Coherent-States Propagator– A.L. Xavier Jr. e M.A.M. de Aguiar – Ann. Phys. (NY) 252 (1996) 458-478
• Eigenvalues and Eigenfunctions of Billiards in a Constant Magnetic Field – M.A.M. de Aguiar – Phys. Rev E53 (1996) 4555-4561
• Scars of Periodic Orbits in the Stadium Action Billiard – J. S. Espinoza Ortiz, M.A.M. de Aguiar e A.M. Ozorio de Almeida J. Stat. Phys., 83 (1996) 275-287

1994

• Semiclassical Theory of Magnetization for a Two-Dimensional Non-Interacting Electron Gas – S.D. Prado, M.A.M. de Aguiar, J.P. Keating e R.Egydio de Carvalho – J. Phys. A : Math. Gen. , 27 (1994) 6091
• Chaology of Action Billiards – A.M. Ozorio de Almeida e M.A.M. de Aguiar In QUANTUM CHAOS, 1994, Cambridge University Press Eds. B. Chirikov e G. Casati
• Effects of Symmetry Breakdown in the Bifurcations of Periodic Orbits of a Non-Integrable Hamiltonian System – S.D. Prado e M.A.M. de Aguiar Ann. Phys. (NY), 231 (1994) 290

1993

• Quantum Signature of a Period-Doubling Bifurcation and Scars of Periodic Orbits – C.P. Malta, M.A.M. de Aguiar e A.M. Ozorio de Almeida – Phys. Rev. A47 (1993) 1625
• Exact Green’s Function for the Step and Square-Barrier Potencials – M.A.M. de Aguiar Phys. Rev. A48 (1993) 2567 (Erratum Phys. Rev. A51 (1995) 2654)

1992

• Action Billiards – M.A.M. de Aguiar e A.M. Ozorio de Almeida Nonlinearity 5 (1992) 523-539
• Convergent Method for Calculating the Eigenvalues of Anharmonic Potencials – M.A.M. de Aguiar e A.L. Xavier Jr. Physics Letters A164 (1992) 279-283
• Quantum and Semiclassical Husimi Distribuitions for a One Dimensional Ressonant System – R. E. de Carvalho e M.A.M. de Aguiar Phys. Rev. A46 (1992) 1128-1131 (Brief Reports)
• Chaos in a Spin-Boson System: Classical Analysis – M.A.M. de Aguiar, K. Furuya, C.H. Lewenkopf e M.C. Nemes Ann. Phys. (NY) 216 (1992) 291-312
• Husimi Distributions of a Spin-Boson System and the Signatures of its Classical Dynamics – K. Furuya, M.A.M. de Aguiar, C.H. Lewenkopf e M.C. Nemes Ann. Phys. (NY) 216 (1992) 313-322
• One Dimensional Action Billiards and Eigenvalues of Truncated Hamiltonians – M.A.M. de Aguiar Physics Letters A164 (1992) 284-288
• Compact Billiards in Phase Space – A.M. Ozorio de Almeida e M.A.M. de Aguiar Chaos, Solitons and Fractals 2 (1992) 377-392

1991

• The Classical Analogue of the Superradiant Phase Transition in the Dicke Model – M.A.M. de Aguiar, K. Furuya e M.C. Nemes Quantum Optics 3 (1991) 305-314
• Particle-Spin Coupling in a Chaotic System: Localization Delocalization in the Husimi Distribuitions – M.A.M. de Aguiar, K. Furuya, C.H. Leewenkopf e M.C. Nemes Europhysics Letters 15 (1991) 125-131

1990

• Periodic Librations and their Effect on the Quantum Energy Spectrum – A.M. Ozorio de Almeida e M.A.M. de Aguiar – Physica D41 (1990) 391
• Floating bubbles in one-parameter Hamiltonian systems – M.A.M. de Aguiar e C.P. Malta Phys. Rev. A42 (1990) 2438 (Brief Reports)
• On the Probability Density Interpretation of Smoothed Wigner Functions – M.A.M. de Aguiar e A.M. Ozorio de Almeida J.Phys. A: Math. and Gen. 23 (1990) L1025

1988

• Isochronous and Period Doubling Bifurcations of Periodic Solutions of Non-Integrable Hamiltonian Systems with Reflexion Simmetries – M.A.M. de Aguiar e C.P. Malta Physica D30 (1988) 413-424
• Invariant Tori for Two-Dimensional Non-Integrable Hamiltonians – M.A.M. de Aguiar e M. Baranger Ann. Phys. (NY) 186 (1988) 355-380

1987

• Bifurcations of Periodic Trajectories in Non-Integrable Hamiltonian Systems with Two Degrees of Freedom: Numerical and Analitical Results – M.A.M. de Aguiar, C.P. Malta, M. Baranger e K.T.R. Davies Ann. Phys. (NY) 180 (1987) 167-205
• The Genealogy of Periodic Trajectories – M.A.M. de Aguiar, C.P. Malta, M. Baranger e K.T.R. Davies Lecture Notes in Physics 278 (1987) 51-53

1986

• Periodic Trajectories for Two-Dimensional Systems – M. Baranger, K.T.R. Davies, M.A.M. de Aguiar, C.P. Malta and E.V.Passos Zeit. fur Phys. A325 (1986) 491-492
• The Time Dependent Variational Description of One-Dimensional Inelastic Scattering – M.A.M. de Aguiar e C.P. Malta J.Chem. Phys. 84 (1986) 69l6-6920