Complex dynamics in generalized Hénon map

DOI10.1155/2015/270604zbMath1418.37061OpenAlexW1999025120WikidataQ59105748 ScholiaQ59105748MaRDI QIDQ1723257

Mei-xiang Cai

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/270604

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

An experimental survey of chaos and symmetry breaking in coupled and driven logistic maps ⋮ On the dynamics and control of a new fractional difference chaotic map ⋮ Route to chaos in a branching model of neural network dynamics

Cites Work

• Unnamed Item
• Chaotic behavior in the Henon mapping
• On the Henon transformation
• The nonwandering set of some Hénon map.
• Once more on Hénon map: analysis of bifurcations.
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A two-dimensional mapping with a strange attractor
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Characteristic exponents and strange attractors
• Abundance of strange attractors
• Switching-induced Wada basin boundaries in the Hénon map
• Transversal homoclinic points of the Hénon map
• Monodromy and irreducibility criteria with algorithmic applications in characteristic zero
• ON DIMENSION OF NON-LOCAL BIFURCATIONAL PROBLEMS
• Horseshoes in the measure-preserving Hénon map
• A new construction of the unstable manifold for the measure-preserving H{é}non map
• Differentiable dynamical systems

This page was built for publication: Complex dynamics in generalized Hénon map