Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems
eBook - PDF

Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems

Krzysztof Kowalski

  1. 140 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems

Krzysztof Kowalski

Book details
Table of contents
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About This Book

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, BÀcklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.

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Information

Publisher
World Scientific
Year
1994
ISBN
9789814354127
Topic
Physical Sciences
Subtopic
Chaotic Behavior in Systems

Table of contents