We present a very general theory that includes results on the persistence of quasi-periodic orbits of systems subject to quasi-periodic perturbations.Ph.D
This is a revised version of the paper located at http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=12-26In...
Many systems in science and engineering can be modelled as coupled or forced nonlinear oscillators, ...
[eng] In this thesis we consider two different problems in the theory of dynamical systems. Dynamica...
We consider the problem of following quasi-periodic tori in perturbations of Hamiltonian systems whi...
In two previous papers [J. Differential Equations, 228 (2006), pp. 530 579; Discrete Contin. Dyn. Sy...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
This thesis is concerned with numerical techniques for resolving and continuing closed, compact inva...
In the skew Hopf bifurcation a quasi-periodic attractor with nontrivial normal linear dynamics loses...
This work aims to present tool of this approach is the so-called parameterization method, that produ...
AbstractIn this paper we prove rigorous results on persistence of invariant tori and their whiskers....
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
AbstractWe present theorems which provide the existence of invariant whiskered tori in finite-dimens...
In this thesis, we present, analyze, and implement a quadratically convergent algorithm to compute t...
We prove the existence and local uniqueness of invariant tori on the verge of breakdown for two syst...
We construct an invariant of mapping tori from a moduli space of stable pairs, where a pair is a ran...
This is a revised version of the paper located at http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=12-26In...
Many systems in science and engineering can be modelled as coupled or forced nonlinear oscillators, ...
[eng] In this thesis we consider two different problems in the theory of dynamical systems. Dynamica...
We consider the problem of following quasi-periodic tori in perturbations of Hamiltonian systems whi...
In two previous papers [J. Differential Equations, 228 (2006), pp. 530 579; Discrete Contin. Dyn. Sy...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
This thesis is concerned with numerical techniques for resolving and continuing closed, compact inva...
In the skew Hopf bifurcation a quasi-periodic attractor with nontrivial normal linear dynamics loses...
This work aims to present tool of this approach is the so-called parameterization method, that produ...
AbstractIn this paper we prove rigorous results on persistence of invariant tori and their whiskers....
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
AbstractWe present theorems which provide the existence of invariant whiskered tori in finite-dimens...
In this thesis, we present, analyze, and implement a quadratically convergent algorithm to compute t...
We prove the existence and local uniqueness of invariant tori on the verge of breakdown for two syst...
We construct an invariant of mapping tori from a moduli space of stable pairs, where a pair is a ran...
This is a revised version of the paper located at http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=12-26In...
Many systems in science and engineering can be modelled as coupled or forced nonlinear oscillators, ...
[eng] In this thesis we consider two different problems in the theory of dynamical systems. Dynamica...