On Hamiltonian systems with a homoclinic orbit to a saddle-center

DOI10.1007/s10958-005-0232-xzbMath1120.37037OpenAlexW2313034084MaRDI QIDQ997767

O. Yu. Kol'tsova

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0232-x

zbMATH Keywords

periodic orbitsbifurcationhomoclinic orbitssaddle-center equilibrium

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Periodic orbits of vector fields and flows (37C27) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

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Cites Work

• Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center
• On the generalization of a theorem of A. Liapounoff
• Irregular dynamics and homoclinic orbits to Hamiltonian saddle centers
• PERIODIC AND HOMOCLINIC ORBITS IN A TWO-PARAMETER UNFOLDING OF A HAMILTONIAN SYSTEM WITH A HOMOCLINIC ORBIT TO A SADDLE-CENTER