Toward analytical chaos in nonlinear systems / (Record no. 21287)

MARC details
000 -LEADER
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001 - CONTROL NUMBER
control field ocn876141187
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230823095425.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 140407s2014 enk ob 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2014013891
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Language of cataloging eng
Description conventions rda
Transcribing agency DLC
Modifying agency YDX
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-- IDEBK
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016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER
Record control number 016775849
Source Uk
019 ## -
-- 918862327
-- 927508995
-- 961540911
-- 962566118
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781118887172 (ePub)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1118887174 (ePub)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781118887219 (Adobe PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1118887212 (Adobe PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781118658611 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781118887158
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1118887158
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1118658612
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781118658611
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781306706186
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1306706181
029 1# - (OCLC)
OCLC library identifier AU@
System control number 000052749155
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OCLC library identifier NZ1
System control number 15627123
029 1# - (OCLC)
OCLC library identifier NZ1
System control number 15922669
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OCLC library identifier CHVBK
System control number 334094194
029 1# - (OCLC)
OCLC library identifier CHBIS
System control number 010442057
029 1# - (OCLC)
OCLC library identifier DEBSZ
System control number 431678146
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OCLC library identifier DEBBG
System control number BV042989728
029 1# - (OCLC)
OCLC library identifier DEBBG
System control number BV043020119
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OCLC library identifier DEBSZ
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OCLC library identifier DEBBG
System control number BV043396670
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)876141187
Canceled/invalid control number (OCoLC)918862327
-- (OCoLC)927508995
-- (OCoLC)961540911
-- (OCoLC)962566118
037 ## - SOURCE OF ACQUISITION
Stock number CL0500000628
Source of stock number/acquisition Safari Books Online
042 ## - AUTHENTICATION CODE
Authentication code pcc
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA867.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI
Subject category code subdivision 064000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code TEC
Subject category code subdivision 029000
Source bisacsh
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 003/.857
Edition number 23
084 ## - OTHER CLASSIFICATION NUMBER
Classification number TEC009070
Source of number bisacsh
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Luo, Albert C. J.
245 10 - TITLE STATEMENT
Title Toward analytical chaos in nonlinear systems /
Statement of responsibility, etc Albert C. J. Luo.
264 #1 -
-- Chichester, West Sussex, United Kingdom :
-- Wiley,
-- 2014.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource.
336 ## -
-- text
-- rdacontent
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-- computer
-- rdamedia
338 ## -
-- online resource
-- rdacarrier
520 ## - SUMMARY, ETC.
Summary, etc "Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible. Since the 18th century, one has extensively used techniques such as perturbation methods to obtain approximate analytical solutions of periodic motions in nonlinear systems. However, the perturbation methods cannot provide the enough accuracy of analytical solutions of periodic motions in nonlinear dynamical systems. So the bifurcation trees of periodic motions to chaos cannot be achieved analytically. The author has developed an analytical technique that is more effective to achieve periodic motions and corresponding bifurcation trees to chaos analytically.Toward Analytical Chaos in Nonlinear Systems systematically presents a new approach to analytically determine periodic flows to chaos or quasi-periodic flows in nonlinear dynamical systems with/without time-delay. It covers the mathematical theory and includes two examples of nonlinear systems with/without time-delay in engineering and physics. From the analytical solutions, the routes from periodic motions to chaos are developed analytically rather than the incomplete numerical routes to chaos. The analytical techniques presented will provide a better understanding of regularity and complexity of periodic motions and chaos in nonlinear dynamical systems.Key features: Presents the mathematical theory of analytical solutions of periodic flows to chaos or quasieriodic flows in nonlinear dynamical systems Covers nonlinear dynamical systems and nonlinear vibration systems Presents accurate, analytical solutions of stable and unstable periodic flows for popular nonlinear systems Includes two complete sample systems Discusses time-delayed, nonlinear systems and time-delayed, nonlinear vibrational systems Includes real world examples Toward Analytical Chaos in Nonlinear Systems is a comprehensive reference for researchers and practitioners across engineering, mathematics and physics disciplines, and is also a useful source of information for graduate and senior undergraduate students in these areas"--
-- Provided by publisher.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
500 ## - GENERAL NOTE
General note Machine generated contents note: Preface Chapter 1 Introduction 1 1.1 Brief history 1 1.2 boook layout 5 Chapter 2 Nonlinear Dynamical Systems 7 2.1 Continuous systems 7 2.2 Equilibrium and stability 10 2.3 Bifurcation and stability switching 20 2.3.1 Stability and switching 21 2.3.2 Bifurcations 32 Chapter 3 An Analytical Method for Periodic Flows 39 3.1 Nonlinear dynamical sysetms 39 3.1.1 Autonomous nonlinear systems 39 3.1.2 Non-autonomous nonlinear systems 51 3.2 Nonlinear vibration systems 55 3.2.1 Free vibration systems 56 3.2.2 Periodically excited vibration systems 70 3.3 Time-delayed nonlinear systems 75 3.3.1 Autonomous time-delayed nonlinear systems 75 3.3.2 Non-authonomous, time-delayed nonlinear systems 95 3.4 Time-delayed nonlinear vibration systems 96 3.4.1 Time-delayed, free vibration systems 96 3.4.2 Periodically excited vibration systems with time-delay 114 Chapter 4 Analytical Periodic to Quasi-periodic Flows 121 4.1 Nonlinear dynamical sysetms 121 4.2 Nonlinear vibration systems 137 4.3 Time-delayed nonlinear systems 147 4.4 Time-delayed, nonlinear vibration systems 160 Chapter 5 Quadratic Nonlinear Oscillators 175 5.1 Period-1 motions 175 5.1.1 Analytical solutions 175 5.1.2 Analytical predictions 180 5.1.3 Numerical illustrations 185 5.2 Period-m motions 191 5.2.1 Analytical solutions 196 5.2.2 Analytical bifurcation trees 200 5.2.3 Numiercal illustrations 185 5.3 Arbitrary periodic forcing 235 Chapter 6 Time-delayed Nonlinear Oscillators 237 6.1 Analytical solutions of period-m moitons 237 6.2 Analytical bifurcation trees 257 6.3 Illustrations of periodic motions 265 References 273 Subject index 277 .
588 ## -
-- Description based on print version record and CIP data provided by publisher.
526 ## - STUDY PROGRAM INFORMATION NOTE
Department Physical Science
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differentiable dynamical systems.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Nonlinear oscillations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Chaotic behavior in systems.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element TECHNOLOGY & ENGINEERING / Mechanical.
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Chaotic behavior in systems.
Source of heading or term fast
-- (OCoLC)fst00852171
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differentiable dynamical systems.
Source of heading or term fast
-- (OCoLC)fst00893426
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Nonlinear oscillations.
Source of heading or term fast
-- (OCoLC)fst01038804
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading Luo, Albert C. J.
Title Toward analytical chaos in nonlinear systems
Place, publisher, and date of publication Chichester, West Sussex, United Kingdom : John Wiley & Sons Inc., 2014
International Standard Book Number 9781118658611
Record control number (DLC) 2014001972
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1002/9781118887158">http://dx.doi.org/10.1002/9781118887158</a>
Public note Wiley Online Library
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-- DG1

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