Global Bifurcations of Periodic Solutions of Hénon–Heiles System Via Degree for S1-Equivariant Orthogonal Maps
DOI10.1142/S0129055X98000379zbMath0917.58028OpenAlexW2083585416WikidataQ104405211 ScholiaQ104405211MaRDI QIDQ4236095
Andrzej J. Maciejewski, Sławomir Rybicki
Publication date: 5 August 1999
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129055x98000379
Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)
Cites Work
- Saddle points and multiple solutions of differential equations
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- On the applicability of the third integral of motion
- A generalized Henon–Heiles system and related integrable Newton equations
- A degree for S1-equavariant orthogonal maps and its applications to bifurcation theory
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