We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced.
Original languageEnglish
Pages (from-to)163-179
JournalMathematics and Computers in Simulation
DOIs
StatePublished - 2014

    Research areas

  • Partial hyperbolicity, Center unstable manifold, Homoclinic point, Chaos

ID: 5404614