Homoclinic and period-doubling bifurcations for damped systems

DOI10.1016/S0294-1449(16)30165-2zbMath0836.34044MaRDI QIDQ1905011

Ugo Bessi

Publication date: 26 March 1996

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1995__12_1_1_0

zbMATH Keywords

homoclinic bifurcationsdamped systemsinfinite cascade of period- doubling bifurcations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

Nested axi-symmetric vortex rings ⋮ Genericity of the multibump dynamics for almost periodic Duffing-like systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A variational approach to homoclinic orbits in Hamiltonian systems
• An example of bifurcation to homoclinic orbits
• Looking for the Bernoulli shift
• Bifurcation of homoclinic orbits for Hamiltonian systems
• Global homoclinic bifurcation for damped systems
• Cascades of period-doubling bifurcations: A prerequisite for horseshoes
• Period Doubling and the Lefschetz Formula
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• A variational proof of a Sitnikov-like theorem
• Nonlinear sturm‐lionville problems for second order ordinary differential equations

This page was built for publication: Homoclinic and period-doubling bifurcations for damped systems