Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems - Hardcover

Kowalski, Krzysztof

 
9789810217532: Methods Of Hilbert Spaces In The Theory Of Nonlinear Dynamical Systems
Hardcover
ISBN 10: 9810217536 ISBN 13: 9789810217532
Publisher: World Scientific Publishing Co Pte Ltd, 1994

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

This book examines the 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 Schroedinger-like equation in Hilbert space. Besides the possibility of unification of many apparently completely different techniques, the introduced "quantal" Hilbert space formalism 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, Baecklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Co Pte Ltd
Publication date
1994
Language
English
ISBN 10 
9810217536
ISBN 13 
9789810217532
Binding
Hardcover
Number of pages
140