Publicacións (25) Publicacións de PABLO GUTIERREZ BARRIENTOS

2024

  1. Berger domains and Kolmogorov typicality of infinitely many invariant circles

    Journal of Differential Equations, Vol. 408, pp. 254-278

2023

  1. Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications

    Commentarii Mathematici Helvetici, Vol. 98, Núm. 4, pp. 643-691

  2. Typical coexistence of infinitely many strange attractors

    Mathematische Zeitschrift, Vol. 303, Núm. 2

2022

  1. Historic wandering domains near cycles

    Nonlinearity, Vol. 35, Núm. 6

  2. Homoclinic tangencies leading to robust heterodimensional cycles

    Mathematische Zeitschrift, Vol. 302, Núm. 1, pp. 519-558

  3. Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems

    Dynamical Systems, Vol. 37, Núm. 2, pp. 181-210

2021

  1. Robust Degenerate Unfoldings of Cycles and Tangencies

    Journal of Dynamics and Differential Equations, Vol. 33, Núm. 1, pp. 177-209

2020

  1. Addendum and corrigendum to “on the chaos game of iterated function systems”

    Topological Methods in Nonlinear Analysis, Vol. 55, Núm. 2, pp. 601-616

  2. Ergodicity of non-autonomous discrete systems with non-uniform expansion

    Discrete and Continuous Dynamical Systems - Series B, Vol. 25, Núm. 4, pp. 1361-1382

  3. Extremal exponents of random products of conservative diffeomorphisms

    Mathematische Zeitschrift, Vol. 296, Núm. 3-4, pp. 1185-1207

  4. Historic behavior in nonhyperbolic homoclinic classes

    Proceedings of the American Mathematical Society, Vol. 148, Núm. 3, pp. 1195-1206

  5. Robust Heteroclinic Tangencies

    Bulletin of the Brazilian Mathematical Society, Vol. 51, Núm. 4, pp. 1041-1056

2019

  1. Chaos near a reversible homoclinic bifocus

    Dynamical Systems, Vol. 34, Núm. 3, pp. 504-516

  2. Emergence of Chaotic Dynamics from Singularities

    In 32th Brazilian Mathematics Colloquium, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro.

2018

  1. Robustly non-hyperbolic transitive symplectic dynamics

    Discrete and Continuous Dynamical Systems- Series A

2017

  1. Chaotic dynamics in the seasonally forced SIR epidemic model

    Journal of Mathematical Biology, Vol. 75, Núm. 6-7, pp. 1655-1668

  2. Expanding actions: Minimality and ergodicity

    Stochastics and Dynamics, Vol. 17, Núm. 4

  3. On the chaos game of iterated function systems

    Topological Methods in Nonlinear Analysis, Vol. 49, Núm. 1, pp. 105-132

  4. Robust tangencies of large codimension

    Nonlinearity, Vol. 30, Núm. 12, pp. 4369-4409

2016

  1. Robust cycles unfolding from conservative bifocal homoclinic orbits

    Dynamical Systems, Vol. 31, Núm. 4, pp. 546-579