This book is the first monograph on a new powerful method discovered by the author for the study of nonlinear dynamical systems relying on reduction of nonlinear differential equations to the linear abstract Schrödinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the "quantal" Hilbert space formalism introduced enables new original methods to be discovered for solving nonlinear problems arising in investigation of ordinary and partial differential equations as well as difference equations. Applications covered in the book include symmetries and first integrals, linearization transformations, Bäcklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.
eBook - PDF
Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems
- 148 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems
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Table of contents
- CONTENTS
- PREFACE
- INTRODUCTION
- CHAPTER 1 ORDINARY DIFFERENTIAL EQUATIONS
- CHAPTER 2 PARTIAL DIFFERENTIAL EQUATIONS
- CHAPTER 3 DIFFERENCE EQUATIONS
- CHAPTER 4 APPLICATIONS
- APPENDIX A HILBERT SPACES
- APPENDIX B QUANTUM MECHANICS
- APPENDIX C BOSE OPERATORS AND COHERENT STATES
- APPENDIX D POSITION AND MOMENTUM OPERATORS
- APPENDIX E FUNCTIONAL DERIVATIVE
- BIBLIOGRAPHY
- SYMBOL INDEX
- SUBJECT INDEX
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Yes, you can access Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems by Krzysztof Kowalski in PDF and/or ePUB format, as well as other popular books in Sciences physiques & Théorie, pratique et référence de la médecine. We have over 1.5 million books available in our catalogue for you to explore.