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Improved KAM estimates for the Siegel radius

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Publication:1102770
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DOI10.1007/BF01020589zbMath0644.70019MaRDI QIDQ1102770

Giorgio Turchetti, Carlangelo Liverani

Publication date: 1986

Published in: Journal of Statistical Physics (Search for Journal in Brave)


zbMATH Keywords

explicit perturbative computationsextensions to Hamiltonian systemsKAM estimatesSiegel center problemstochastic transition


Mathematics Subject Classification ID

Topological dynamics (37B99) Bifurcations and instability for nonlinear problems in mechanics (70K50)


Related Items (3)

Nekhoroshev estimate for isochronous non resonant symplectic maps ⋮ Diophantine conditions and K.A.M. estimates for the Siegel theorem in \(C^ N\) ⋮ Unnamed Item




Cites Work

  • Universal scaling behaviour for iterated maps in the complex plane
  • Are there critical points on the boundaries of singular domains?
  • Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item




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