Add to ORKGThe Kolmogorov, Arnol'd, Moser (KAM) theory [15, 1, 16] proves that ``small" perturbations of integrable Hamiltonian systems possess ``large" sets of initial conditions for which the trajectories remain quasiperiodic. In this paper we discuss how the ``strength" of the allowed perturbation varies with the number of degrees of freedom, N, in the system
Abstract. Two methods for constructing quasiperiodic solutions as expansion in a small pa-rameter ar...
We consider parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and stu...
We review V. I. Arnold’s 1963 celebrated paper [1] Proof of A. N. Kolmogorov’s Theorem on the Conser...
The relation between the Kolmogorov-Arnold-Moser theory of the non resonant motions in nearly integr...
Kolmogorov-Arnold-Moser (or KAM) theory was developed for conservative dynamical systems that are ne...
KAM theory is the perturbative theory, initiated by Kolmogorov, Arnold and Moser in the 1950’s, of ...
AbstractSo far the application of Kolmogorov–Arnold–Moser (KAM) theory has been restricted to smooth...
Kolmogorov-Arnold-Moser (or kam) theory was developed for con-servative dynamical systems that are n...
AbstractThe two main stability results for nearly-integrable Hamiltonian systems are revisited: Nekh...
The purpose of this paper is to present a perturbation theory for integrable hamiltonian systems of ...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
The two main stability results for nearly integrable Hamiltonian systems are revisited: Nekhoroshev...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
The two main stability results for nearly integrable Hamiltonian systems are revisited: Nekhoroshev ...
We consider parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and stu...
Abstract. Two methods for constructing quasiperiodic solutions as expansion in a small pa-rameter ar...
We consider parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and stu...
We review V. I. Arnold’s 1963 celebrated paper [1] Proof of A. N. Kolmogorov’s Theorem on the Conser...
The relation between the Kolmogorov-Arnold-Moser theory of the non resonant motions in nearly integr...
Kolmogorov-Arnold-Moser (or KAM) theory was developed for conservative dynamical systems that are ne...
KAM theory is the perturbative theory, initiated by Kolmogorov, Arnold and Moser in the 1950’s, of ...
AbstractSo far the application of Kolmogorov–Arnold–Moser (KAM) theory has been restricted to smooth...
Kolmogorov-Arnold-Moser (or kam) theory was developed for con-servative dynamical systems that are n...
AbstractThe two main stability results for nearly-integrable Hamiltonian systems are revisited: Nekh...
The purpose of this paper is to present a perturbation theory for integrable hamiltonian systems of ...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
The two main stability results for nearly integrable Hamiltonian systems are revisited: Nekhoroshev...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
The two main stability results for nearly integrable Hamiltonian systems are revisited: Nekhoroshev ...
We consider parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and stu...
Abstract. Two methods for constructing quasiperiodic solutions as expansion in a small pa-rameter ar...
We consider parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and stu...
We review V. I. Arnold’s 1963 celebrated paper [1] Proof of A. N. Kolmogorov’s Theorem on the Conser...