Title: METHODS OF HILBERT SPACES IN THE THEORY OF NONLINEAR DYNAMICAL SYSTEMS
Publisher: World Scientific Publishing Company
Publication Date: 1994
Language: English
ISBN 10: 9810217536
ISBN 13: 9789810217532
Binding: Hardcover
Condition: new

About this title

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 Schr�dinger-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, B�cklund transformations, stroboscopic maps, functional equations involving the case of Feigenbaum-Cvitanovic renormalization equations and chaos.

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