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Pathology in dynamical systems. II: Applications

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Publication:1223644
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DOI10.1016/0022-0396(76)90019-XzbMath0321.54021MaRDI QIDQ1223644

David L. Rod, Richard C. Churchill

Publication date: 1976

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



Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


Related Items

Bifurcations into pathology for Hamiltonian systems, Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems, Pathology in dynamical systems. III: Analytic Hamiltonians, Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level, Hyperbolic periodic orbits, Shooting methods and topological transversality, Global Bifurcations of Periodic Solutions of Hénon–Heiles System Via Degree for S1-Equivariant Orthogonal Maps



Cites Work

  • Isolated unstable periodic orbits
  • On the applicability of the third integral of motion
  • Pathology of invariant sets in the monkey saddle
  • On the remainder on the Runge-Kutta formula in the theory of ordinary differential equations
  • Stable and Random Motions in Dynamical Systems
  • On the Stability of Periodic Orbits for Nonlinear Oscillator Systems in Regions Exhibiting Stochastic Behavior
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