Papers


    2013
  • 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.
  • Predicting economic market crisis using measures of collective panic
    Dion Harmon, M.A.M. de Aguiar, D.D. Chinellato, D. Braha, I.R. Epstein and Y. Bar-Yam, submitted.


  • 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 media
    A.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 PDF
  • 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 PDF
  • 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 PDF



  • 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 PDF
  • Exact Green's Function for the Step and Square-Barrier Potencials - M.A.M. de Aguiar Phys. Rev. A48 (1993) 2567 PDF (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 PDF
  • 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 PDF
  • 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) PDF
  • 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 PDF
  • 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 PDF
  • One Dimensional Action Billiards and Eigenvalues of Truncated Hamiltonians - M.A.M. de Aguiar Physics Letters A164 (1992) 284-288 PDF
  • Compact Billiards in Phase Space - A.M. Ozorio de Almeida e M.A.M. de Aguiar Chaos, Solitons and Fractals 2 (1992) 377-392 PDF



  • 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 PDF
  • 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 PDF



  • 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 PDF
  • Floating bubbles in one-parameter Hamiltonian systems - M.A.M. de Aguiar e C.P. Malta Phys. Rev. A42 (1990) 2438 (Brief Reports) PDF
  • 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  PDF



  • 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 PDF
  • Invariant Tori for Two-Dimensional Non-Integrable Hamiltonians - M.A.M. de Aguiar e M. Baranger Ann. Phys. (NY) 186 (1988) 355-380 PDF



  • 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 PDF
  • 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 PDF



  • 1986

  • Periodic Trajectories for Two-Dimensional Systems -M.A.M. de Aguiar, C.P. Malta, M. Baranger, K.T.R. Davies e E.V.Passos Zeit. fur Phys. A325 (1986) 491-492 PDF
  • 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 PDF