METHODS OF HILBERT SPACES IN THE THEORY OF NONLINEAR DYNAMICAL SYSTEMS - Hardcover

Kowalski K

Hardcover

ISBN 10: 9810217536 ISBN 13: 9789810217532

Publisher: World Scientific Publishing Company, 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.

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 1994
• Language: English
• ISBN 10: 9810217536
• ISBN 13: 9789810217532
• Binding: Hardcover
• Number of pages: 140