Add to ORKGAbstract. Two methods for constructing quasiperiodic solutions as expansion in a small pa-rameter are discussed. The first one is the classical Lindstedt’s method; the second one an algorithm based on Kolmogorov’s paper [1]. Besides a complete formulation of the algorithms, an overview of the main ideas leading to the proof of convergence of the expansions is given. Some comparison is also made, including in particular the analysis of the effectiveness of the algorithms. 1. Overview I shall discuss here the construction of quasi periodic solutions for the nearly integrable Hamiltonian system (1) H(p, q, ε)
In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-peri...
We overview recent existence results and techniques about KAM theory for PDEs, like nonlinear Schrod...
We overview recent existence results and techniques about KAM theory for PDEs, like nonlinear Schrod...
Two methods for constructing quasiperiodic solutions as expansion in a small parameter are discussed...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
This paper is an overview of recent existence results and techniques about KAM theory for PDEs
This paper is an overview of recent existence results and techniques about KAM theory for PDEs
We present new ideas and techniques for proving existence and stability of quasi-periodic solutions ...
The book is devoted to partial differential equations of Hamiltonian form, close to integrable equat...
We present new ideas and techniques for proving existence and stability of quasi-periodic solutions ...
The KAM theorem for analytic quasi-integrable anisochronous Hamiltonian systems yields that the pert...
The KAM theorem for analytic quasi-integrable anisochronous Hamiltonian systems yields that the pert...
The KAM theorem for analytic quasi-integrable anisochronous Hamiltonian systems yields that the pert...
The KAM theorem for analytic quasi-integrable anisochronous Hamiltonian systems yields that the pert...
In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-peri...
We overview recent existence results and techniques about KAM theory for PDEs, like nonlinear Schrod...
We overview recent existence results and techniques about KAM theory for PDEs, like nonlinear Schrod...
Two methods for constructing quasiperiodic solutions as expansion in a small parameter are discussed...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
Power series expansions naturally arise whenever solutions of ordinary differential equations are st...
This paper is an overview of recent existence results and techniques about KAM theory for PDEs
This paper is an overview of recent existence results and techniques about KAM theory for PDEs
We present new ideas and techniques for proving existence and stability of quasi-periodic solutions ...
The book is devoted to partial differential equations of Hamiltonian form, close to integrable equat...
We present new ideas and techniques for proving existence and stability of quasi-periodic solutions ...
The KAM theorem for analytic quasi-integrable anisochronous Hamiltonian systems yields that the pert...
The KAM theorem for analytic quasi-integrable anisochronous Hamiltonian systems yields that the pert...
The KAM theorem for analytic quasi-integrable anisochronous Hamiltonian systems yields that the pert...
The KAM theorem for analytic quasi-integrable anisochronous Hamiltonian systems yields that the pert...
In the last years much progress has been achieved in KAM theory concerning bifurcation of quasi-peri...
We overview recent existence results and techniques about KAM theory for PDEs, like nonlinear Schrod...
We overview recent existence results and techniques about KAM theory for PDEs, like nonlinear Schrod...