This is a tutorial on some of the main ideas in KAM theory. The goal is to present the
background and to explain and compare somewhat informally some of the main methods of …

Over the last four decades there has been extensive development in the theory of dynamical
systems. This book aims at a wide audience where the first four chapters have been used for …

Once again KAM theory is committed in the context of nearly integrable Hamiltonian
systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori …

The study of non-linear dynamical systems nowadays is an intricate mixture of analysis,
geometry, algebra and measure theory and this book takes all aspects into account …

Kolmogorov-Arnold-Moser (or kam) theory was developed for conservative dynamical
systems that are nearly integrable. Integrable systems in their phase space usually contain …

We present a simple proof of Rüssmann's theorem on invariant tori of analytic perturbations
of analytic integrable Hamiltonian systems of the form dp/dt= 0, dq/dt= ϖ f (p)/ϖ p, where (p …

The two main stability results for nearly-integrable Hamiltonian systems are revisited:
Nekhoroshev theorem, concerning exponential lower bounds for the stability time (effective …

Mathematical Physics: Classical Mechanics Page 1 UNITEXT 109 Mathematical Physics: Classical
Mechanics Andreas Knauf Page 2 UNITEXT - La Matematica per il 3+2 Volume 109 Editor-in-chief …

Kolmogorov–Arnold–Moser (or KAM) Theory was developed for conservative (Hamiltonian)
dynamical systems that are nearly integrable. Integrable systems in their phase space …

We consider perturbations of moderately degenerate integrable or partially integrable
Hamiltonian systems, so that unperturbed invariant n-tori with prescribed frequencies or …