عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9788132225560
NATIONAL BIBLIOGRAPHY NUMBER
Number
E3472
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
An Introduction to Dynamical Systems and Chaos
General Material Designation
[electronic resources: book]
First Statement of Responsibility
/ by G. C. Layek.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New Delhi
Name of Publisher, Distributor, etc.
Springer India
Date of Publication, Distribution, etc.
, 2015.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xviii, 622 p.)
Other Physical Details
: illustrations in color
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes index.
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
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, et cetera, for advanced undergraduate and postgraduate students in mathematics, physics and engineering.
TYPE OF ELECTRONIC RESOURCE NOTE
Text of Note
pdf file
TOPICAL NAME USED AS SUBJECT
Entry Element
Dynamics.
Entry Element
Ergodic theory.
DEWEY DECIMAL CLASSIFICATION
Edition
23
Edition
23
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Layek, G. C.
ORIGINATING SOURCE
Country
Iran
Agency
University of Tehran. Library of College of Science
Date of Transaction
20200928163612.0
Cataloguing Rules (Descriptive Conventions))
rda
ELECTRONIC LOCATION AND ACCESS
Date and Hour of Consultation and Access
UT_SCI_BL_DB_1003817_0001.pdf
e
BL
278840
a
Y
