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Hyperbolic periodic orbits

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Publication:1220194
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DOI10.1016/0022-0396(77)90003-1zbMath0313.34043OpenAlexW2033521543MaRDI QIDQ1220194

Giampiero Pecelli, David L. Rod, Richard C. Churchill

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90003-1


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


Related Items

A class of periodic orbits in classical mechanics, A Geometric Criterion for Hyperbolicity of Flows, Global Bifurcations of Periodic Solutions of Hénon–Heiles System Via Degree for S1-Equivariant Orthogonal Maps



Cites Work

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  • Isolated unstable periodic orbits
  • Pathology in dynamical systems. I: General theory
  • Pathology in dynamical systems. II: Applications
  • Pathology of invariant sets in the monkey saddle
  • On the generalization of a theorem of A. Liapounoff
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