Page 1 Number 421 HW Broer GB Huitema F. Takens and BLJ Braaksma Unfoldings and
bifurcations of quasi-periodic tori Q Memoirs of the American Mathematical Society Providence …

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 …

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 …

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 …

VVe survey several recent achievements in the KAM theory. The achievements chosen
pertain to Hamiltonian systems only and are closely connected With the content of …

Unfoldings of quasi-periodic tori in reversible systems Page 1 Journal of Dynamics and
Differential Equations, VoL 7, No. 1, 1995 Unfoldings of Quasi-periodic Tori in Reversible …

We consider the perturbed quasi-periodic dynamics of a family of reversible systems with
normally 1: 1 resonant invariant tori. We focus on the generic quasi-periodic reversible Hopf …

We consider families of dynamical systems having invariant tori that carry quasi-periodic
motions. Our interest is the persistence of such tori under small, nearly-integrable …

ABSTRACT Kolmogorov-Arnol'd-Moser Theory classically was mainly developed for
conservative systems, establishing persistence results for quasi-periodic invariant tori in …