ON THE STRUCTURE OF 1 : 4 RESONANCES IN HÉNON MAPS

DOI10.1142/S0218127405014301zbMath1097.37036OpenAlexW2016721048MaRDI QIDQ5474373

Marina Gonchenko

Publication date: 23 June 2006

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

Full work available at URL: https://doi.org/10.1142/s0218127405014301

zbMATH Keywords

fixed-pointbifurcation sequenceAndronov-Hopf bifurcationHénon family

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Low-dimensional dynamical systems (37E99)

Related Items (5)

On \(1:3\) resonance under reversible perturbations of conservative cubic Hénon maps ⋮ On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps ⋮ Bifurcations of Cubic Homoclinic Tangencies in Two-dimensional Symplectic Maps ⋮ On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies ⋮ HÉNON MAP: SIMPLE SINKS GAINING COEXISTENCE AS b → 1

Cites Work

• A two-dimensional mapping with a strange attractor
• How often do simple dynamical processes have infinitely many coexisting sinks?
• Dynamical phenomena in systems with structurally unstable Poincaré homoclinic orbits

This page was built for publication: ON THE STRUCTURE OF 1 : 4 RESONANCES IN HÉNON MAPS