Author: Anatole Katok
Publisher: American Mathematical Soc.
ISBN: 1470425602
Category : Mathematics
Languages : en
Pages : 334
Book Description
This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.
Modern Theory of Dynamical Systems
Author: Anatole Katok
Publisher: American Mathematical Soc.
ISBN: 1470425602
Category : Mathematics
Languages : en
Pages : 334
Book Description
This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.
Publisher: American Mathematical Soc.
ISBN: 1470425602
Category : Mathematics
Languages : en
Pages : 334
Book Description
This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.
Introduction to the Modern Theory of Dynamical Systems
Author: Anatole Katok
Publisher: Cambridge University Press
ISBN: 9780521575577
Category : Mathematics
Languages : en
Pages : 828
Book Description
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Publisher: Cambridge University Press
ISBN: 9780521575577
Category : Mathematics
Languages : en
Pages : 828
Book Description
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Modern Dynamical Systems and Applications
Author: Michael Brin
Publisher: Cambridge University Press
ISBN: 9780521840736
Category : Mathematics
Languages : en
Pages : 490
Book Description
This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.
Publisher: Cambridge University Press
ISBN: 9780521840736
Category : Mathematics
Languages : en
Pages : 490
Book Description
This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.
Order and Chaos in Dynamical Systems
Author: I︠U︡. S. Ilʹi︠a︡shenko
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 313
Book Description
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 313
Book Description
Dynamical Systems and Related Topics
Author: Evgeniĭ Frolovich Mishchenko
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 400
Book Description
Publisher:
ISBN:
Category : Differentiable dynamical systems
Languages : en
Pages : 400
Book Description
A Vision for Dynamics in the 21st Century
Author: Danijela Damjanovic
Publisher: Cambridge University Press
ISBN: 1009278878
Category : Mathematics
Languages : en
Pages : 446
Book Description
A large international conference celebrated the 50-year career of Anatole Katok and the body of research across smooth dynamics and ergodic theory that he touched. In this book many leading experts provide an account of the latest developments at the research frontier and together set an agenda for future work, including an explicit problem list. This includes elliptic, parabolic, and hyperbolic smooth dynamics, ergodic theory, smooth ergodic theory, and actions of higher-rank groups. The chapters are written in a readable style and give a broad view of each topic; they blend the most current results with the developments leading up to them, and give a perspective on future work. This book is ideal for graduate students, instructors and researchers across all research areas in dynamical systems and related subjects.
Publisher: Cambridge University Press
ISBN: 1009278878
Category : Mathematics
Languages : en
Pages : 446
Book Description
A large international conference celebrated the 50-year career of Anatole Katok and the body of research across smooth dynamics and ergodic theory that he touched. In this book many leading experts provide an account of the latest developments at the research frontier and together set an agenda for future work, including an explicit problem list. This includes elliptic, parabolic, and hyperbolic smooth dynamics, ergodic theory, smooth ergodic theory, and actions of higher-rank groups. The chapters are written in a readable style and give a broad view of each topic; they blend the most current results with the developments leading up to them, and give a perspective on future work. This book is ideal for graduate students, instructors and researchers across all research areas in dynamical systems and related subjects.
Introduction to the Modern Theory of Dynamical Systems Encyclopedia of Mathematics and its Applications
Author: Boris Hasselblatt
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Advances in Dynamical Systems Theory, Models, Algorithms and Applications
Author: Bruno Carpentieri
Publisher: BoD – Books on Demand
ISBN: 1839691239
Category : Mathematics
Languages : en
Pages : 132
Book Description
The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.
Publisher: BoD – Books on Demand
ISBN: 1839691239
Category : Mathematics
Languages : en
Pages : 132
Book Description
The theory of modern dynamical systems dates back to 1890 with studies by Poincaré on celestial mechanics. The tradition was continued by Birkhoff in the United States with his pivotal work on periodic orbits, and by the Moscow School in Russia (Liapunov, Andronov, Pontryagin). In the 1960s the field was revived by the emergence of the theory of chaotic attractors, and in modern years by accurate computer simulations. This book provides an overview of recent developments in the theory of dynamical systems, presenting some significant advances in the definition of new models, computer algorithms, and applications. Researchers, engineers and graduate students in both pure and applied mathematics will benefit from the chapters collected in this volume.
Dynamical Systems
Author: D. V. Anosov
Publisher:
ISBN: 9780387570433
Category : Celestial mechanics
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9780387570433
Category : Celestial mechanics
Languages : en
Pages :
Book Description
Dynamical Systems and Related Topics
Author: A. A. Bolibruch
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description