In this book the theory of hyperbolic sets is developed both for diffeomorphis...In this book the theory of hyperbolic sets is developed both for diffeomorphisms and flows with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets...more
In this book the theory of hyperbolic sets is developed both for diffeomorphis...In this book the theory of hyperbolic sets is developed both for diffeomorphisms and flows with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets...more
In this book the theory of hyperbolic sets is developed both for diffeomorphis...In this book the theory of hyperbolic sets is developed both for diffeomorphisms and flows with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets...more
It appears that we live in an age of disasters: the mighty Missis- sippi and M...It appears that we live in an age of disasters: the mighty Missis- sippi and Missouri flood millions of acres earthquakes hit Tokyo and California airplanes crash due to mechanical failure and the seemingly ever increasing wind speeds make the...more
From its origins nearly two centuries ago Hamiltonian dynamics has grown to em...From its origins nearly two centuries ago Hamiltonian dynamics has grown to embrace the physics of nearly all systems that evolve without dissipation as well as a number of branches of mathematics some of which were literally created along the way....more
Approach your problems from the right end and begin with the answers. Then one...Approach your problems from the right end and begin with the answers. Then one day perhaps you will find the final answer. The Hermit Clad In Crane Feathers In R. van Gullk s The Chinese Haze Hurders. It Isn t that they can t see the solution. It IS...more
A number of optimization problems of the mechanics of space flight and the mot...A number of optimization problems of the mechanics of space flight and the motion of walking robots and manipulators and of quantum physics eco- momics and biology have an irregular structure: classical variational proce- dures do not formally make...more
Et moi J si j avait su comment en revcnir One seMcc mathematics has rendered t...Et moi J si j avait su comment en revcnir One seMcc mathematics has rendered the je n y semis point aile. human race. It has put common sense back Jules Verne where it belongs on the topmost shclf next to the dusty canister labelled discarded non-...more
WhAM! Workshop. The aim of this volume is to showcase original research conduc...WhAM! Workshop. The aim of this volume is to showcase original research conducted by newly formed collaborative teams during the IMA s Women in Applied Mathematics (WhAM!) Research Collaboration Conference on Dynamical Systems with Applications to...more
Small noise is a good noise. In this work we are interested in the problems of...Small noise is a good noise. In this work we are interested in the problems of estimation theory concerned with observations of the diffusion-type process Xo = Xo 0 t T (0. 1) where W is a standard Wiener process and St( ) is some nonanticipative...more
Et moi ... si j avait Sll comment en revenir. One sennce mathematics has rende...Et moi ... si j avait Sll comment en revenir. One sennce mathematics has rendered the human race. It has put common sense back je n y serais point alle. Jules Verne whe it belongs on the topmost shelf next to the dusty canister labelled discarded...more
A rich variety of books devoted to dynamical chaos solitons self-organization ...A rich variety of books devoted to dynamical chaos solitons self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems...more
This book contains the courses given at the Third School on Statistical Physic...This book contains the courses given at the Third School on Statistical Physics and Cooperative Systems held at Santiago Chile from 14th to 18th December 1992. The main idea of this periodic school was to bring together scientists work- with recent...more
N atur non facit saltus? This book is devoted to the fundamental problem which...N atur non facit saltus? This book is devoted to the fundamental problem which arises contin- uously in the process of the human investigation of reality: the role of a mathematical apparatus in a description of reality. We pay our main attention to...more
Et moi ... si j avait su comment en revenir One service mathematics has render...Et moi ... si j avait su comment en revenir One service mathematics has rendered the je n y serais point alIe. human race. It has put common sense back Jules Verne where it belongs on the topmost shelf next to the dusty canister labelled discarded...more