Mathematical Analysis - Complex Analysis, Mathematical Analysis - Functional Analysis, Mathematics - Topology, Mathematical Equations - Differential, Mathematical Spaces

Methods of Hilbert Spaces in the Theory of Nonlinear Dynamical Systems

Name: Methods of Hilbert Spaces in the Theory of Nonlinear Dynamical Systems
Author: K. Kowalski
ISBN: 9789810217532

by K. Kowalski

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