Homoclinic Tangles

  • On the Homoclinic Tangles of Henry Poincare
    preprint
    • [pdf file]

  • Periodically Forced Double Homoclinic Loops to A Dissipative Saddle
    JDE 260 (2016), 4366-4392
    • [pdf file]

  • (With Fengjuan Chen and Ali Oksasoglu) Heteroclinic Tangles in Time-Periodic Equations
    JDE 254 (2013), 1137–1171
    • [pdf file]

  • On the Theory of Chaotic Rank One Attractors
    Scholarpedia 6(10):9380 (2011)
    • [pdf file]

  • (With Kening Lu) Chaotic Behavior in Differential Equations Driven by a Brownian Motion
    JDE 251(10) (2011), 2853-2895
    • [pdf file]

  • (With Ali Oksasoglu) Strange Attractors and their Periodic Repetition
    Chaos 21, 012128 (2011)
    • [pdf file]

  • (With Ali Oksasoglu) Periodic Occurrence of Dynamical Behavior of Homoclinic Tangles
    Physica D: Nonlinear Phenomena 239(7) (2010), 387-395.
    • [pdf file]

  • (With Kening Lu) Chaotic Behavior in Differential Equations Driven by a Nonautonomous Force
    Nonlinearity 23(2010), 2935-2975
    • [pdf file]

  • (With Ali Oksasoglu) Dynamics of Homoclinic Tangles in Periodically Perturbed Second Order Equations
    JDE 250(2011) 710-751
    • [pdf file]

  • (With William Ott) Dissipative Homoclinic Loops of Two-Dimensional Maps and Strange Attractors with One Direction of Instability
    CPAM 64(11) (2011) 1439-1496
    • [pdf file]