Papers históricos

  • Deng, B. (1994). Constructing homoclinic orbits and chaotic attractors. International Journal of Bifurcation and Chaos4(04), 823-841. (PDF). Este paper es sobre cómo escribir una ODE que tenga una órbita homoclínica en 3D.
  • Chaté, H., & Manneville, P. (1996). Phase diagram of the two-dimensional complex Ginzburg-Landau equation. Physica A: Statistical Mechanics and its Applications224(1-2), 348-368. (PDF)
  • Watts, D. J., & Strogatz, S. H. (1998). Collective dynamics of ‘small-world’networks. nature393(6684), 440. (PDF)
  • Strogatz, S. H. (2001). Exploring complex networks. nature410(6825), 268-276. (PDF)
  • Pokharel, B., Misplon, M. Z., Lynn, W., Duggins, P., Hallman, K., Anderson, D., … & Pattanayak, A. K. (2018). Chaos and dynamical complexity in the quantum to classical transition. Scientific reports8(1), 1-10. (PDF).
  • Jensen, R. V. (1992). Quantum chaos. Nature355(6358), 311-318. (PDF)
  • i Cancho, R. F., & Solé, R. V. (2003). Least effort and the origins of scaling in human language. Proceedings of the National Academy of Sciences100(3), 788-791. (PDF)
  • Nowak, M. A., & Krakauer, D. C. (1999). The evolution of language. Proceedings of the National Academy of Sciences96(14), 8028-8033. (PDF)
  • Nowak, M. A. (2006). Five rules for the evolution of cooperation. science314(5805), 1560-1563. (PDF)
  • Eigen, M., McCaskill, J., & Schuster, P. (1989). The molecular quasi-species. Adv. Chem. Phys75, 149-263. (PDF)
  • Barland, S., Tredicce, J. R., Brambilla, M., Lugiato, L. A., Balle, S., Giudici, M., … & Miller, M. (2002). Cavity solitons as pixels in semiconductor microcavities. Nature419(6908), 699-702. (PDF)
  • Coullet, P., Mahadevan, L., & Riera, C. S. (2005). Hydrodynamical models for the chaotic dripping faucet. Journal of Fluid Mechanics526, 1-17. (PDF). Dinámica de la gotita… de la canilla mal cerrada.
  • Montbrió, E., Pazó, D., & Roxin, A. (2015). Macroscopic description for networks of spiking neurons. Physical Review X5(2), 021028. (PDF).
  • Burke, J., & Knobloch, E. (2006). Localized states in the generalized Swift-Hohenberg equation. Physical Review E73(5), 056211. (PDF)
  • Crawford, J. D., & Knobloch, E. (1991). Symmetry and symmetry-breaking bifurcations in fluid dynamics. Annual Review of Fluid Mechanics23(1), 341-387. (PDF)
  • Bressloff, P. C., Cowan, J. D., Golubitsky, M., Thomas, P. J., & Wiener, M. C. (2002). What geometric visual hallucinations tell us about the visual cortex. Neural computation14(3), 473-491. (PDF)
  • Butler, T. C., Benayoun, M., Wallace, E., van Drongelen, W., Goldenfeld, N., & Cowan, J. (2012). Evolutionary constraints on visual cortex architecture from the dynamics of hallucinations. Proceedings of the National Academy of Sciences109(2), 606-609. (PDF)
  • Golubitsky, M., & Stewart, I. (2015). Recent advances in symmetric and network dynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science25(9), 097612. (PDF)
  • Alon, U. (2007). Network motifs: theory and experimental approaches. Nature Reviews Genetics8(6), 450-461. (PDF)
  • Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., & Hwang, D. U. (2006). Complex networks: Structure and dynamics. Physics reports424(4-5), 175-308. (PDF)
  • Boettiger, A., Ermentrout, B., & Oster, G. (2009). The neural origins of shell structure and pattern in aquatic mollusks. Proceedings of the National Academy of Sciences106(16), 6837-6842. (PDF)
  • Zaikin, A. N., & Zhabotinsky, A. M. (1970). Concentration wave propagation in two-dimensional liquid-phase self-oscillating system. Nature225(5232), 535-537. (PDF)
  • Izhikevich, E. M. (2000). Neural excitability, spiking and bursting. International journal of bifurcation and chaos10(06), 1171-1266. (PDF)
  • Izhikevich, E. M. (2003). Simple model of spiking neurons. IEEE Transactions on neural networks14(6), 1569-1572. (PDF)
  • Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y., & Zhou, C. (2008). Synchronization in complex networks. Physics reports469(3), 93-153. (PDF)
  • Albert, R., & Barabási, A. L. (2002). Statistical mechanics of complex networks. Reviews of modern physics74(1), 47. (PDF)
  • Watts, D. J., & Strogatz, S. H. (1998). Collective dynamics of ‘small-world’ networks. nature393(6684), 440. (PDF)
  • Feigenbaum, M. J. (1978). Quantitative universality for a class of nonlinear transformations. Journal of statistical physics19(1), 25-52. (PDF)
  • Turing, A. M. (1990). The chemical basis of morphogenesis. Bulletin of mathematical biology52(1-2), 153-197. (PDF)
  • Hodgkin, A. L., & Huxley, A. F. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of physiology117(4), 500-544. (PDF)
  • Ahlers, G. (2006). Experiments with Rayleigh-Bénard convection. In Dynamics of spatio-temporal cellular structures (pp. 67-94). Springer, New York, NY. (PDF)
  • Bak, P., Tang, C., & Wiesenfeld, K. (1988). Self-organized criticality. Physical review A38(1), 364. (PDF)
  • Ott, E., & Antonsen, T. M. (2008). Low dimensional behavior of large systems of globally coupled oscillators. Chaos: An Interdisciplinary Journal of Nonlinear Science18(3), 037113. (PDF)
  • Lorenz, E. N. (1963). Deterministic nonperiodic flow. Journal of the atmospheric sciences20(2), 130-141. (PDF)
  • Aubry, N., Holmes, P., Lumley, J. L., & Stone, E. (1988). The dynamics of coherent structures in the wall region of a turbulent boundary layer. Journal of Fluid Mechanics192, 115-173. (PDF)
  • Holmes, P., Full, R. J., Koditschek, D., & Guckenheimer, J. (2006). The dynamics of legged locomotion: Models, analyses, and challenges. SIAM review48(2), 207-304. (PDF)
  • Golubitsky, M., Stewart, I., Buono, P. L., & Collins, J. J. (1999). Symmetry in locomotor central pattern generators and animal gaits. Nature401(6754), 693-695. (PDF)
  • Khalil, A. S., & Collins, J. J. (2010). Synthetic biology: applications come of age. Nature Reviews Genetics11(5), 367-379. (PDF)
  • Kopell, N., Ermentrout, G. B., Whittington, M. A., & Traub, R. D. (2000). Gamma rhythms and beta rhythms have different synchronization properties. Proceedings of the National Academy of Sciences97(4), 1867-1872. (PDF)
  • Dieckmann, U., & Doebeli, M. (1999). On the origin of species by sympatric speciation. Nature400(6742), 354-357. (PDF)Ermentrout, G. B., & Kopell, N. (1986). Parabolic bursting in an excitable system coupled with a slow oscillation. SIAM Journal on Applied Mathematics46(2), 233-253. (PDF)
  • Calbet, X., & López-Ruiz, R. (2001). Tendency towards maximum complexity in a nonequilibrium isolated system. Physical Review E63(6), 066116. (PDF)
  • Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., & Hwang, D. U. (2006). Complex networks: Structure and dynamics. Physics reports424(4-5), 175-308. (PDF)
  • Bandt, C., & Pompe, B. (2002). Permutation entropy: a natural complexity measure for time series. Physical review letters88(17), 174102. (PDF)
  • De Aguiar, M. A. M., Baranger, M., Baptestini, E. M., Kaufman, L., & Bar-Yam, Y. (2009). Global patterns of speciation and diversity. Nature460(7253), 384-387. (PDF)
  • Amador, A., Perl, Y. S., Mindlin, G. B., & Margoliash, D. (2013). Elemental gesture dynamics are encoded by song premotor cortical neurons. Nature495(7439), 59-64. (PDF)
  • Pathak, J., Wikner, A., Fussell, R., Chandra, S., Hunt, B. R., Girvan, M., & Ott, E. (2018). Hybrid forecasting of chaotic processes: Using machine learning in conjunction with a knowledge-based model. Chaos: An Interdisciplinary Journal of Nonlinear Science28(4), 041101. (PDF)
  • Restrepo, J. G., Ott, E., & Hunt, B. R. (2006). Characterizing the dynamical importance of network nodes and links. Physical review letters97(9), 094102. (PDF)
  • Pathak, J., Hunt, B., Girvan, M., Lu, Z., & Ott, E. (2018). Model-free prediction of large spatiotemporally chaotic systems from data: A reservoir computing approach. Physical review letters120(2), 024102. (PDF)
  • Magnasco, M. O. (1993). Forced thermal ratchets. Physical Review Letters71(10), 1477. (PDF)
  • Tinsley, M. R., Nkomo, S., & Showalter, K. (2012). Chimera and phase-cluster states in populations of coupled chemical oscillators. Nature Physics8(9), 662-665. (PDF)
  • Kinouchi, O., & Copelli, M. (2006). Optimal dynamical range of excitable networks at criticality. Nature physics2(5), 348-351. (PDF)
  • Totz, J. F., Rode, J., Tinsley, M. R., Showalter, K., & Engel, H. (2018). Spiral wave chimera states in large populations of coupled chemical oscillators. Nature Physics14(3), 282-285. (PDF)
  • Ahlers, G., Grossmann, S., & Lohse, D. (2009). Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection. Reviews of modern physics81(2), 503. (PDF)
  • Abarbanel, H. D., Brown, R., Sidorowich, J. J., & Tsimring, L. S. (1993). The analysis of observed chaotic data in physical systems. Reviews of modern physics65(4), 1331. (PDF)
  • Gilmore, R. (1998). Topological analysis of chaotic dynamical systems. Reviews of Modern Physics70(4), 1455. (PDF)
  • Montoya, J. M., Pimm, S. L., & Solé, R. V. (2006). Ecological networks and their fragility. Nature442(7100), 259-264. (PDF)
  • Wang, L. Z., Zhao, Z. D., Jiang, J., Guo, B. H., Wang, X., Huang, Z. G., & Lai, Y. C. (2019). A model for meme popularity growth in social networking systems based on biological principle and human interest dynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science29(2), 023136. (PDF)
  • Lahmiri, S., & Bekiros, S. (2018). Chaos, randomness and multi-fractality in Bitcoin market. Chaos, solitons & fractals106, 28-34. (PDF)
  • Ovchinnikov, I. V. (2012). Topological field theory of dynamical systems. Chaos: An Interdisciplinary Journal of Nonlinear Science22(3), 033134. (PDF)
  • Buescu, J., de Castro, P. M., Dias, A. P., & Labouriau, I. S. (Eds.). (2012). Bifurcation, symmetry and patterns. Birkhäuser. Capitulo “Symmetry breaking and the origin of species” (PDF)
  • Aubry, N., Holmes, P., Lumley, J. L., & Stone, E. (1988). The dynamics of coherent structures in the wall region of a turbulent boundary layer. Journal of Fluid Mechanics192, 115-173. (PDF)
  • Cross, M., & Greenside, H. (2009). Pattern formation and dynamics in nonequilibrium systems. Cambridge University Press. (PDF)
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