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Averaging and integral manifolds (II)

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Publication:5584785
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DOI10.1017/S0004972700042064zbMath0191.10303OpenAlexW4211182940MaRDI QIDQ5584785

Kenneth James Palmer

Publication date: 1970

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700042064


zbMATH Keywords

ordinary differential equations



Related Items (6)

Transversal heteroclinic points and Cherry's example of a nonintegrable Hamiltonian system ⋮ Some questions concerning attractors for non-autonomous dynamical systems ⋮ Another look at averaging and integral manifolds ⋮ Exponential dichotomies, heteroclinic orbits, and Melnikov functions ⋮ Behavior of the periodic surface for a periodically perturbed autonomous system and periodic solutions ⋮ Exponential dichotomies and transversal homoclinic points



Cites Work

  • Unnamed Item
  • Perturbation theorems for periodic surfaces. I: Definitions and main theorems
  • Integral manifolds of perturbed differential systems
  • Dichotomies and reducibility. II
  • Small periodic perturbations of an autonomous system with a stable orbit
  • A new approach to the perturbation theory of invariant surfaces


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