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
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
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
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
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
In recent times it has been stated that many dynamicalsystems of classical ma...In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures given in the majority of cases by Poisson brackets. Very often such Poisson structures on...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
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
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
We present here a selection of the seminars given at the Second International ...We present here a selection of the seminars given at the Second International Workshop on Instabilities and Nonequilibrium Structures in Valparaiso Chile in December 1987. The Workshop was organized by Facultad de Ciencias Fisicas y Matematicas of...more
One service mathematics has rendered the Et moi .... si j avait su comment en ...One service mathematics has rendered the Et moi .... si j avait su comment en revenir je human race. It has put common sense back n y serais point aile. where it belongs on the topmost shelf next to Jules Verne 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
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