A STRANGE ATTRACTOR WITH LARGE ENTROPY IN THE UNFOLDING OF A LOW RESONANT DEGENERATE HOMOCLINIC ORBIT

DOI10.1142/S0218127406016951zbMath1117.37020OpenAlexW2151960255MaRDI QIDQ5297806

Vincent Naudot, Jiazhong Yang, Marco Martens

Publication date: 13 July 2007

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127406016951

zbMATH Keywords

Dulac mapHénon-like maps

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

Complexity in a Hybrid van der Pol System, Chaos near a resonant inclination-flip, Quasi-linearization of parameter-depending germs of vector fields

Cites Work

• Unnamed Item
• Homoclinic bifurcation at resonant eigenvalues
• Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis
• On bifurcations of the Lorenz attractor in the Shimizu-Morioka model
• On the continuous dependence of the smooth change of coordinates in parametrized normal form theorems
• Abundance of strange attractors
• The existence of infinitely many homoclinic doubling bifurcations from some codimension 3 homoclinic orbits
• Linearization of germs of hyperbolic vector fields.
• Bifurcations to \(N\)-homoclinic orbits and \(N\)-periodic orbits in vector fields
• Homoclinic bifurcation to a transitive attractor of Lorenz type
• A nonlinear oscillator with a strange attractor
• EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS
• A strange attractor in the unfolding of an orbit-flip homoclinic orbit
• Strange attractor in the unfolding of an inclination-flip homoclinic orbit