Extended convergence of normal forms around unstable equilibria

DOI10.1016/S0375-9601(97)00037-6zbMath0962.37506MaRDI QIDQ1968199

Werner M. Vieira, Alfredo M. Ozorio de Almeida

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Hamilton's equations (70H05) Normal forms for dynamical systems (37G05)

Related Items

Analytical and numerical manifolds in a symplectic 4-D map, A review of the ``Third integral, Analytical invariant manifolds near unstable points and the structure of chaos

Cites Work

• Analytical determination of unstable periodic orbits in area preserving maps
• Regular and stochastic motion
• Study of chaos in Hamiltonian systems via convergent normal forms
• On the generalization of a theorem of A. Liapounoff
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