عنوان

Introduction to dynamical systems and chaos /

شابک

8132225562

شابک

9788132225560

شابک اشتباه

8132225554

شابک اشتباه

9788132225553

شماره

dltt

عنوان اصلي

Introduction to dynamical systems and chaos /

نام عام مواد

[Book]

نام نخستين پديدآور

G.C. Layek

محل نشرو پخش و غیره

New Delih :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2015

نام خاص و کميت اثر

1 online resource

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Continuous Dynamical Systems -- Linear Systems -- Phase Plane Analysis -- Stability Theory -- Oscillations -- Theory of Bifurcations -- Hamiltonian Systems -- Symmetry Analysis -- Discrete Dynamical Systems -- Some Maps -- Conjugacy of Maps -- Chaos -- Fractals

بدون عنوان

0

متن يادداشت

The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1-8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9-13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering

شماره استاندارد بين المللي کتاب و موسيقي

9788132225553

موضوع مستند نشده

Dynamics

موضوع مستند نشده

Ergodic theory

موضوع مستند نشده

Mathematics

شماره رده

مستند نام اشخاص تاييد نشده

Layek, G.C.

مستند نام تنالگان تاييد نشده

Ohio Library and Information Network

تاريخ عمليات

20160325063612.5

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y