The Poincare-Lyapounov-Nekhoroshev theorem for involutory systems of vector fields

Journal Article · Thu Jun 15 00:00:00 EDT 2006 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2006.01.002· OSTI ID:20767019

Gaeta, Giuseppe ^[1]

---

1. Dipartimento di Matematica, Universita di Milano, via Saldini 50, I-20133 Milan (Italy)

We extend the Poincare-Lyapounov-Nekhoroshev theorem from torus actions and invariant tori to general (non-abelian) involutory systems of vector fields and general invariant manifolds.

• OSTI ID: 20767019
• Journal Information: Annals of Physics (New York), Vol. 321, Issue 6; Other Information: DOI: 10.1016/j.aop.2006.01.002; PII: S0003-4916(06)00021-2; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
LYAPUNOV METHOD
PERTURBATION THEORY
POINCARE GROUPS
TORI
VECTOR FIELDS