Persistent homoclinic tangencies in the Hénon family

DOI10.1016/0167-2789(94)00226-GzbMath0889.58032OpenAlexW2013123018MaRDI QIDQ1890678

James A. Yorke, Ittai Kan, Hueseyin Kocak

Publication date: 21 May 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00226-g

zbMATH Keywords

homoclinic tangencyHénon family

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Analysis of chaotic saddles in low-dimensional dynamical systems: the derivative nonlinear Schrödinger equation ⋮ Tangencies for Real and Complex Hénon Maps: An Analytic Method

Uses Software

• Dynamics

Cites Work

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• Analysis of a procedure for finding numerical trajectories close to chaotic saddle hyperbolic sets
• Intersections of thick Cantor sets
• CALCULATING STABLE AND UNSTABLE MANIFOLDS
• Antimonotonicity: Concurrent creation and annihilation of periodic orbits

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