In our previous paper [10] an ergodic theory of Painleve VI is developed and the chaotic nature of its Poincare return map is discovered. This article outlines the main contents of that work and describes the principal ideas leading to its main results. An announcement of new results is also given along with some open problems to be discussed in the future.
Theme 4 - Simulation et optimisation de systemes complexes - Projet BipAvailable from INIST (FR), Do...
This elegant book presents a rigorous introduction to the theory of nonlinear mechanics and chaos. I...
In this thesis we investigate a chaos in dynamical systems described by the Hamilton function using ...
About seventy years after the original discovery, the six Painleve equations have reappeared in two ...
About seventy years after the original discovery, the six Painleve equations have reappeared in two ...
In the present paper we prove distributional chaos for the Poincaré map in the perturbed equation [f...
International audienceThis twelfth volume in the Poincaré Seminar Series presents a complete and int...
International audienceThis twelfth volume in the Poincaré Seminar Series presents a complete and int...
This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of ...
Dynamical systems as a mathematical discipline goes back to Poincaré, who de-veloped a qualitative ...
This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems wit...
The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynami...
With contributions from a number of pioneering researchers in the field, this collection is aimed no...
We will review the achievements of Henri Poincar e in the theory of dy- namical systems and will add...
We discuss basic notions of the ergodic theory approach to chaos. Based on simple examples we show s...
Theme 4 - Simulation et optimisation de systemes complexes - Projet BipAvailable from INIST (FR), Do...
This elegant book presents a rigorous introduction to the theory of nonlinear mechanics and chaos. I...
In this thesis we investigate a chaos in dynamical systems described by the Hamilton function using ...
About seventy years after the original discovery, the six Painleve equations have reappeared in two ...
About seventy years after the original discovery, the six Painleve equations have reappeared in two ...
In the present paper we prove distributional chaos for the Poincaré map in the perturbed equation [f...
International audienceThis twelfth volume in the Poincaré Seminar Series presents a complete and int...
International audienceThis twelfth volume in the Poincaré Seminar Series presents a complete and int...
This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of ...
Dynamical systems as a mathematical discipline goes back to Poincaré, who de-veloped a qualitative ...
This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems wit...
The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynami...
With contributions from a number of pioneering researchers in the field, this collection is aimed no...
We will review the achievements of Henri Poincar e in the theory of dy- namical systems and will add...
We discuss basic notions of the ergodic theory approach to chaos. Based on simple examples we show s...
Theme 4 - Simulation et optimisation de systemes complexes - Projet BipAvailable from INIST (FR), Do...
This elegant book presents a rigorous introduction to the theory of nonlinear mechanics and chaos. I...
In this thesis we investigate a chaos in dynamical systems described by the Hamilton function using ...