Hyperbolic Sets Shadowing And Persistence For Noninvertible Mappings In Banach Spaces
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Hyperbolic Sets Shadowing And Persistence For Noninvertible Mappings In Banach Spaces
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Author : Bernard Lani-Wayda
language : en
Publisher: CRC Press
Release Date : 1995-10-27
Hyperbolic Sets Shadowing And Persistence For Noninvertible Mappings In Banach Spaces written by Bernard Lani-Wayda and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-27 with Mathematics categories.
This text gives a self-contained and detailed treatment of presently known results, and new theorems on hyperbolicity, shadowing, complicated motion, and robustness. The book is intended to provide a dependable reference for researchers wishing to apply such results. This book will be of particular interest to researchers and students interested in dynamical systems, particularly in noninvertible maps and infinite dimensional semi-flows or maps and global analysis.
Hyperbolic Sets Shadowing And Persistence For Noninvertible Mappings In Banach Spaces
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Author : Bernard Lani-Wayda
language : en
Publisher: CRC Press
Release Date : 2022-09-16
Hyperbolic Sets Shadowing And Persistence For Noninvertible Mappings In Banach Spaces written by Bernard Lani-Wayda and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-16 with Mathematics categories.
This text gives a self-contained and detailed treatment of presently known results, and new theorems on hyperbolicity, shadowing, complicated motion, and robustness. The book is intended to provide a dependable reference for researchers wishing to apply such results. This book will be of particular interest to researchers and students interested in dynamical systems, particularly in noninvertible maps and infinite dimensional semi-flows or maps and global analysis.
Hyperbolic Sets Shadowing And Persistence For Noninvertible Mappings In Banach Spaces
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Author : Bernhard Lani-Wayda
language : en
Publisher:
Release Date : 1995
Hyperbolic Sets Shadowing And Persistence For Noninvertible Mappings In Banach Spaces written by Bernhard Lani-Wayda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Banach spaces categories.
Shadowing In Dynamical Systems
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Author : K.J. Palmer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Shadowing In Dynamical Systems written by K.J. Palmer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
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 are robust under perturbation, that they have an asymptotic phase property and also that the dynamics near a transversal homoclinic orbit is chaotic. It turns out that chaotic dynamical systems arising in practice are not quite hyperbolic. However, they possess enough hyperbolicity to enable us to use shadowing ideas to give computer-assisted proofs that computed orbits of such systems can be shadowed by true orbits for long periods of time, that they possess periodic orbits of long periods and that it is really true that they are chaotic. Audience: This book is intended primarily for research workers in dynamical systems but could also be used in an advanced graduate course taken by students familiar with calculus in Banach spaces and with the basic existence theory for ordinary differential equations.
Solution Sets Of Differential Equations In Abstract Spaces
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Author : Robert Dragoni
language : en
Publisher: CRC Press
Release Date : 1996-04-03
Solution Sets Of Differential Equations In Abstract Spaces written by Robert Dragoni and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-03 with Mathematics categories.
This book presents results on the geometric/topological structure of the solution set S of an initial-value problem x(t) = f(t, x(t)), x(0) =xo, when f is a continuous function with values in an infinite-dimensional space. A comprehensive survey of existence results and the properties of S, e.g. when S is a connected set, a retract, an acyclic set, is presented. The authors also survey results onthe properties of S for initial-value problems involving differential inclusions, and for boundary-value problems. This book will be of particular interest to researchers in ordinary and partial differential equations and some workers in control theory.
Inner Product Spaces And Applications
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Author : T M Rassias
language : en
Publisher: CRC Press
Release Date : 1997-10-08
Inner Product Spaces And Applications written by T M Rassias and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-08 with Mathematics categories.
In this volume, the contributing authors deal primarily with the interaction among problems of analysis and geometry in the context of inner product spaces. They present new and old characterizations of inner product spaces among normed linear spaces and the use of such spaces in various research problems of pure and applied mathematics. The methods employed are accessible to students familiar with normed linear spaces. Some of the theorems presented are at the same time simple and challenging.
Wandering Solutions Of Delay Equations With Sine Like Feedback
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Author : Bernhard Lani-Wayda
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Wandering Solutions Of Delay Equations With Sine Like Feedback written by Bernhard Lani-Wayda and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book is intended for graduate students and research mathematicians interested in mechanics of particle systems.
Integral Expansions Related To Mehler Fock Type Transforms
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Author : B N Mandal
language : en
Publisher: CRC Press
Release Date : 2020-11-25
Integral Expansions Related To Mehler Fock Type Transforms written by B N Mandal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Mathematics categories.
An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.
Backward Stochastic Differential Equations
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Author : N El Karoui
language : en
Publisher: CRC Press
Release Date : 1997-01-17
Backward Stochastic Differential Equations written by N El Karoui and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-17 with Mathematics categories.
This book presents the texts of seminars presented during the years 1995 and 1996 at the Université Paris VI and is the first attempt to present a survey on this subject. Starting from the classical conditions for existence and unicity of a solution in the most simple case-which requires more than basic stochartic calculus-several refinements on the hypotheses are introduced to obtain more general results.
The Theory Of Quantaloids
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Author : K I Rosenthal
language : en
Publisher: CRC Press
Release Date : 2014-07-22
The Theory Of Quantaloids written by K I Rosenthal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.
This book presents a detailed account of the theory of quantaloids, a natural generalization of quantales. The basic theory, examples and construction are given and particular emphasis is placed on the free quantaloid construction, as well as on the perspective provided by enriched categories.