Physics-Mechanics: Nonlinear dynamics and chaos

Асимптотики и симметрии в нелинейных динамических системах: сборник статей

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Title (user) : Асимптотики и симметрии в нелинейных динамических системах: сборник статейTitle (google) : Асимптотики и симметрии в нелинейных динамических системахISBN : 5878550059GoogleBook ID : eGENtAEACAAJAuthors (user) : Калякин, Шакирьянов. (ред.)Authors (google) : A. J. van der Schaf...
Description

Title (user) : Асимптотики и симметрии в нелинейных динамических системах: сборник статей

Title (google) : Асимптотики и симметрии в нелинейных динамических системах

ISBN : 5878550059

GoogleBook ID : eGENtAEACAAJ

Authors (user) : Калякин, Шакирьянов. (ред.)

Authors (google) : A. J. van der Schaft,Johannes Maria Schumacher

Language : Russian

Publication Date : 1995

Scanned : yes (300 DPI)

File Format : djvu


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Description (user) :
В сборнике представлены работы уфимских математиков по тематике, разрабатываемой в Институте математики с ВЦ РАН. Изложены результаты по исследованию нелинейных уравнений, близких к интегрируемым. Сборник предназначен для специалистов, интересующихся теорией интегрируемых уравнений математической физики.


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Description (google) :
This book is about dynamical systems that are "hybrid" in the sense that they contain both continuous and discrete state variables. Recently there has been increased research interest in the study of the interaction between discrete and continuous dynamics. The present volume provides a first attempt in book form to bring together concepts and methods dealing with hybrid systems from various areas, and to look at these from a unified perspective. The authors have chosen a mode of exposition that is largely based on illustrative examples rather than on the abstract theorem-proof format because the systematic study of hybrid systems is still in its infancy. The examples are taken from many different application areas, ranging from power converters to communication protocols and from chaos to mathematical finance. Subjects covered include the following: definition of hybrid systems; description formats; existence and uniqueness of solutions; special subclasses (variable-structure systems, complementarity systems); reachability and verification; stability and stabilizability; control design methods. The book will be of interest to scientists from a wide range of disciplines including: computer science, control theory, dynamical system theory, systems modeling and simulation, and operations research.

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