Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering / Steven H. Strogatz ; text design by Robert B. Kern.
Author
- Strogatz, Steven H. [author]
Other titles
- Nonlinear dynamics and chaos with Student solutions manual
- Taylor & Francis
Edition
- 2nd ed.
Published
- Boulder, Colorado : Westview Press 2015
Physical description
1 online resource (1093 p.)
ISBN
- 0-429-97219-9
- 0-8133-4911-7
Notes
- Description based upon print version of record.
- Includes bibliographical references and indexes.
- Other format: Also available in printed form.
- Reproduction available: Electronic reproduction. Dawson Books. Mode of access: World Wide Web.
- Mode of access: World Wide Web.
- English
- Description based on online resource; title from PDF title page (ebrary, viewed November 6, 2014).
Audience
- Specialized.
Contents
- ""Cover Page""; ""Title Page""; ""Copyright""; ""Contents""; ""Preface to the Second Edition""; ""Preface to the First Edition""; ""1 Overview""; ""1.0 Chaos, Fractals, and Dynamics""; ""1.1 Capsule History of Dynamics""; ""1.2 The Importance of Being Nonlinear""; ""1.3 A Dynamical View of the World""; ""Part I One-Dimensional Flows""; ""2 Flows on the Line""; ""2.0 Introduction""; ""2.1 A Geometric Way of Thinking""; ""2.2 Fixed Points and Stability""; ""2.3 Population Growth""; ""2.4 Linear Stability Analysis""; ""2.5 Existence and Uniqueness""; ""2.6 Impossibility of Oscillations""
- ""2.7 Potentials""""2.8 Solving Equations on the Computer""; ""Exercises for Chapter 2""; ""3 Bifurcations""; ""3.0 Introduction""; ""3.1 Saddle-Node Bifurcation""; ""3.2 Transcritical Bifurcation""; ""3.3 Laser Threshold""; ""3.4 Pitchfork Bifurcation""; ""3.5 Overdamped Bead on a Rotating Hoop""; ""3.6 Imperfect Bifurcations and Catastrophes""; ""3.7 Insect Outbreak""; ""Exercises for Chapter 3""; ""4 Flows on the Circle""; ""4.0 Introduction""; ""4.1 Examples and Definitions""; ""4.2 Uniform Oscillator""; ""4.3 Nonuniform Oscillator""; ""4.4 Overdamped Pendulum""; ""4.5 Fireflies""
- ""4.6 Superconducting Josephson Junctions""""Part II Two-Dimensional Flows""; ""5 Linear Systems""; ""5.0 Introduction""; ""5.1 Definitions and Examples""; ""5.2 Classification of Linear Systems""; ""5.3 Love Affairs""; ""Exercises for Chapter 5""; ""6 Phase Plane""; ""6.0 Introduction""; ""6.1 Phase Portraits""; ""6.2 Existence, Uniqueness, and Topological Consequences""; ""6.3 Fixed Points and Linearization""; ""6.4 Rabbits versus Sheep""; ""6.5 Conservative Systems""; ""6.6 Reversible Systems""; ""6.7 Pendulum""; ""6.8 Index Theory""; ""Exercises for Chapter 6""; ""7 Limit Cycles""
- ""Exercises for Chapter 8""""Color Plates""; ""Part III Chaos""; ""9 Lorenz Equations""; ""9.0 Introduction""; ""9.1 A Chaotic Waterwheel""; ""9.2 Simple Properties of the Lorenz Equations""; ""9.3 Chaos on a Strange Attractor""; ""9.4 Lorenz Map""; ""9.5 Exploring Parameter Space""; ""9.6 Using Chaos to Send Secret Messages""; ""Exercises for Chapter 9""; ""10 One-Dimensional Maps""; ""10.0 Introduction""; ""10.1 Fixed Points and Cobwebs""; ""10.2 Logistic Map: Numerics""; ""10.3 Logistic Map: Analysis""; ""10.4 Periodic Windows""; ""10.5 Liapunov Exponent""
- ""10.6 Universality and Experiments""
Subject
- Centre for Hyperincursion and Anticipation in Ordered Systems
- Chaotic behavior in systems.
- Dynamics.
- Nonlinear theories.
- Differentiable dynamical systems.
- Advanced Mathematics.
- Mathematics.
- Chaotic synchronization.
- Dynamics.
- Nonlinear theories.
- Chaotic behavior in systems.
- Quantum chaos.
- Chaotic synchronization.
- Mathematics.
- Chaotic behavior in systems.
- Dynamics
- Nonlinear theories.
- General.
- Chaos.
- Dynamique.
- Théories non linéaires.
- kinetics (dynamics)
- Physik
- Nichtlineares dynamisches System
- Chaostheorie
- Nichtlineare Dynamik
- Biologie
- Chemie
- Technik
- SCIENCE Philosophy & Social Aspects.
- Chaotic behaviour in systems.
- Chaotic behavior in systems.
- Dynamics.
- Nonlinear theories.
- Chaotic synchronization.
- Mathematics.
- Caos (Teoria de sistemes)
- Dinàmica.
- Teories no lineals
Other names
- Kern, Robert B. [designer]
- Ebooks Corporation.
Related item
- Other format: ; ISBN: 0-8133-4910-9
- https://www.taylorfrancis.com/books/e/9780429399640
Genre
- Bibliography
- Ebooks.
- Electronic books
- Electronic books.
- Illustrated
- Llibres electrònics
- text
- Textbooks.
- UK eLD e-books
Language
- English
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Summary
- An accessible introduction to chaos and nonlinear systems, with numerous examples, illustrations, and applications to science and engineering. ; This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with mathematical theory. In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting fields as systems biology, evolutionary game theory, and socio-physics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as curiosities of visual perception and the tumultuous love dynamics in Gone with the Wind.
Holding libraries
Summary holdings does not include live availability details. Select a library name for the full Holdings display.
| Location of copy | Shelfmark | Online location | Holdings Notes |
|---|---|---|---|
| Aston University Library | Online location | An e-book from Ebook Central; click to view | |
| Aston University Library: E-book available online | |||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| Aston University Library: 2nd floor | 501.1857 STR | ||
| University of Bath Library | Online location | ||
| University of Bath Library | Online location | ||
| University of Bath Library: Level 4 | 003.857 | ||
| Birkbeck, University of London Library: Contact the Library | 003.857 STR | ||
| University of Birmingham Libraries: Research Reserve [RR], Available on request | Q172.5.C45 | ||
| University of Birmingham Libraries: Main Library, Collection | Q172.5.C45 S767 | ||
| University of Bristol Libraries: Queen's Building Library | Q172.5.C45 STR | 7 day loan: vacation loan | |
| University of Bristol Libraries: Queen's Building Library | Q172.5.C45 STR | 7 day loan: vacation loan | |
| University of Bristol Libraries: Queen's Building Library | Q172.5.C45 STR | 7 day loan: vacation loan | |
| British Library: Science, Technology and Industry, St Pancras Reading Rooms | (B) 501.185 | ||
| British Library: General Reference Collection, St Pancras Reading Rooms | DRT ELD.DS.342676 | ||
| British Library: General Reference Collection, St Pancras Reading Rooms | DRT ELD.DS.730817 | ||
| University of Cambridge Libraries: Wolfson College Library: Main Library | 515.35 (16) | ||
| University of Cambridge Libraries: Engineering Library: Main Library | RA.229 | ||
| University of Cambridge Libraries: Churchill College Library: Bracken Gallery | 531.11 | ||
| University of Cambridge Libraries: Magdalene College Library: Main Library | 10.FB.133 | ||
| University of Cambridge Libraries: Christ's College Library: Floor 3 | Q 172.5 .C45 .S77 2015 | ||
| University of Cambridge Libraries: Fitzwilliam College Library: Floor 0 | AWY DWI OR Str(2) | Library has 1 copy | |
| University of Cambridge Libraries: Gonville and Caius College Library: Upper Library | 515.39 S | ||
| University of Cambridge, King's College: King's College: Main Library | AXL VS Str | ||
| Cardiff University Libraries: Science Library: 1 week | 515.39 STR | ||
| Cardiff University Libraries | Online location | ||
| Cardiff University Libraries | Online location | ||
| Cardiff University Libraries: Science Library: 1 week | 515.39 STR | ||
| City, University of London: Northampton Square -- 7 day loan | 501.185 STR | ||
| City, University of London: Northampton Square -- 7 day loan | 501.185 STR | ||
| Coventry University: Maths Support Centre | |||
| Coventry University: Floor 1 | 530.15 | ||
| Coventry University | Online location | Taylor & Francis eBooks | |
| Coventry University | Online location | Taylor & Francis EBA 2021 | |
| Coventry University | Online location | BibliU | |
| University of Edinburgh Libraries: Murray Library, King's Buildings (STANDARD LOAN) | Q172.5.C45 Str. | ||
| University of Edinburgh Libraries: Main Library (HUB SHORT LOAN) - Ground floor | Q172.5.C45 Str. | ||
| University of Edinburgh Libraries: Murray Library, King's Buildings (SHORT LOAN) | Q172.5.C45 Str. | ||
| University of Edinburgh Libraries: Main Library (STANDARD LOAN) - 3rd floor | Q172.5.C45 Str. | ||
| University of Edinburgh Libraries | Online location | ||
| University of Edinburgh Libraries | Online location | Unlimited concurrent users, available to download | |
| Edinburgh Napier University | Online location | ||
| University of Exeter Library | Online location | Available via Taylor & Francis. | |
| University of Exeter Library | Online location | Available online via Kortext. Please log in using your Exeter IT login, if prompted. | |
| University of Glasgow Library: University Library Level 5 | Physics GK6 2015-S | ||
| Imperial College London Library: Central Library: Level 2 | 501.185 STR | ||
| Imperial College London Library: Silwood Park Library: Main shelves | 501.185 STR | ||
| Imperial College London Library: Central Library: Level 2 | 501.185 STR | ||
| Imperial College London Library: Central Library: Level 2 | 501.185 STR | ||
| Imperial College London Library: Central Library: Level 2 | 501.185 STR | ||
| Imperial College London Library: Central Library: Level 2 | 501.185 STR | ||
| Lancaster University: Main Collection | MAIN BD (S) A Floor | ||
| University of Liverpool Library: Harold Cohen Library, 1st Floor, Silent Study Room (Book Zone 4) | Q172.5.C45.S92.2 | 1 | |
| University of Manchester Library | Online location | ||
| University of Manchester Library | Online location | EBL PDA 2016 Ebook Central | |
| University of Manchester Library: Main Library: Blue Area Floor 1 | 003.857 | ||
| Manchester Metropolitan University: All Saints Library 1st floor: east wing - 2 week loan | 515.35 STR | ||
| National Library of Scotland: General Reading Room, Edinburgh (stored offsite) | PB8.214.636/2 | ||
| National Library of Wales / Llyfrgell Genedlaethol Cymru | Online location | ||
| National Library of Wales / Llyfrgell Genedlaethol Cymru | Online location | ||
| Newcastle University Libraries: Philip Robinson Library: Robinson Books Level 3 | 531.11 STR | ||
| Northumbria University Library | Online location | ||
| Northumbria University Library | Online location | ||
| Northumbria University Library: City Campus Library, Floor 3 | 515.39 STR | ||
| University of Nottingham Libraries | Online location | eBook. Link to resource. | |
| University of Nottingham Libraries: George Green Library | |||
| University of Oxford Libraries: St Anne's College Library: Tim Gardam Building | 517.51 STR:Non | ||
| University of Oxford Libraries: Balliol College Library | Pb 016/02 | ||
| University of Oxford Libraries: Brasenose College Library: Old Cloisters | L/B 10.1 | ||
| University of Oxford Libraries: St Catherine's College Library | 523 STR | ||
| University of Oxford Libraries: St Catherine's College Library | 523 STR | ||
| University of Oxford Libraries: Christ Church Library: Library of Congress sequence | Q 172.5.C45 STR 2014 | ||
| University of Oxford Libraries: Christ Church Library: Library of Congress sequence | Q 172.5.C45 STR 2014 | ||
| University of Oxford Libraries: Christ Church Library: Library of Congress sequence | Q 172.5.C45 STR 2014 | ||
| University of Oxford Libraries: Christ Church Library: Library of Congress sequence | Q 172.5.C45 STR 2014 | ||
| University of Oxford Libraries: Hertford College Library | E 30/STR [2nd ed] | ||
| University of Oxford Libraries: St Hilda's College Library | 530.22 STR:Non | ||
| University of Oxford Libraries: Jesus College Library: Lower Meyricke Library Gallery | A8 STR | ||
| University of Oxford Libraries: Merton College Library: Old Warden's Lodgings | AZL/STR(2ed) | ||
| University of Oxford Libraries: New College Library | Y 2.1 STR | ||
| University of Oxford Libraries: Oriel College Library | Q 37.155 | ||
| University of Oxford Libraries: Oriel College Library: Lower Stack | Science Strogatz | ||
| University of Oxford Libraries: Oriel College Library: Lower Stack | Science Strogatz | ||
| University of Oxford Libraries: Oriel College Library: Lower Stack | Science Strogatz | ||
| University of Oxford Libraries: Pembroke College Library | N 23 STR | ||
| University of Oxford Libraries: Radcliffe Science Library: Vere Harmsworth Library Open Shelves | Q172.5.C45 STR 2015 | ||
| University of Oxford Libraries: St Edmund Hall Library | N3 STR:Non (A) | ||
| University of Oxford Libraries: St Edmund Hall Library | N3 STR:Non (B) | ||
| University of Oxford Libraries: St Edmund Hall Library | N3 STR:Non (C) | ||
| University of Oxford Libraries: St Edmund Hall Library | N3 STR:Non (D) | ||
| University of Oxford Libraries: St Edmund Hall Library | N3 STR:Non (E) | ||
| University of Oxford Libraries: St Edmund Hall Library | N3 STR:Non (F) | ||
| University of Oxford Libraries: Somerville College Library | 531 STR 2 | ||
| University of Oxford Libraries: Somerville College Library | 531 STR 2 | ||
| University of Oxford Libraries: Somerville College Library | 531 STR 2 | ||
| University of Oxford Libraries: St John's College Library | PHYS / 20 / STR | ||
| University of Oxford Libraries: St John's College Library | PHYS / 20 / STR | ||
| University of Oxford Libraries: Trinity College Library | PB 94 | ||
| University of Oxford Libraries: Wadham College Library | M 28.2 (S) | ||
| University of Oxford Libraries: Wadham College Library | M 28.2 (S) | ||
| University of Oxford Libraries: Wolfson College Library: Floersheimer | |||
| University of Oxford Libraries: Wolfson College Library: Floersheimer | 531.11 STR | ||
| University of Oxford Libraries: Worcester College Library: Upper Library | 27 q 43 (b) | ||
| University of Oxford Libraries: Worcester College Library: Upper Library | 27 q 43 (c) | ||
| University of Oxford Libraries: Corpus Christi College Library | 501.185 St | ||
| University of Oxford Libraries: St Cross College Library | 501.1 ST | ||
| University of Portsmouth: University Library, Ground Floor | 003.857 | Standard | |
| University of Portsmouth: University Library, Ground Floor | 003.857 | Standard | |
| University of Portsmouth: University Library, Ground Floor | 003.857 | Standard | |
| University of Portsmouth: University Library, Ground Floor | 003.857 | Standard | |
| University of Portsmouth: University Library, Ground Floor | 003.857 | Standard | |
| University of Portsmouth: University Library, Ground Floor | 003.857 | Standard | |
| University of Portsmouth: University Library, Ground Floor | 003.857 | Standard | |
| University of Portsmouth: University Library, Ground Floor | 003.857 | Standard | |
| Queen Mary University of London Library: Mile End Library | Q172.5.C45 STR | TCOWL | |
| Queen Mary University of London Library: Mile End Library | Q172.5.C45 STR | TCOWL | |
| Queen Mary University of London Library: Mile End Library | Q172.5.C45 STR | TCOWL | |
| Queen Mary University of London Library: Mile End Library | Q172.5.C45 STR | TCOWL | |
| Queen Mary University of London Library: Mile End Library | Q172.5.C45 STR | TCOWL | |
| Queen Mary University of London Library: Mile End Library | Q172.5.C45 STR | TCOWL | |
| Queen's University Belfast: McClay Floor 3 | Q172.5.C45 | ||
| Queen's University Belfast: McClay Floor 3 | Q172.5.C45 | ||
| Queen's University Belfast: McClay Floor 3 | Q172.5.C45 | ||
| Queen's University Belfast | Online location | Queen's Online Resource (Queen's Staff and Students Only) | |
| Queen's University Belfast: Electronic Resource | |||
| University of Reading Library: University Library: 2nd Floor | 003.857-STR | ||
| University of Reading Library | Online location | ||
| University of Reading Library: University Library: Electronic resource | XX(1809915.1) | ||
| Royal Holloway, University of London: Royal Holloway library | Davison High Use One Week 531.11 STR | ||
| Royal Holloway, University of London: Contact the Library | Ebook Library Ebook Central | ||
| University of St Andrews Library | Online location | Connect to e-book | |
| Sheffield Hallam University Library: Adsetts Main Collection | 003.75 STR (LEVEL 2) | ||
| University of Sheffield Library: Information Commons Main sequence | 003.857 (S) | ||
| University of Sheffield Library | Online location | ||
| University of Sheffield Library | Online location | ProQuest Ebook Central | |
| University of Southampton Library: Hartley Library: Main Collection (Standard Loan) | QC20 STR | ||
| University of Southampton Library: Hartley Library: Main Collection (Standard Loan) | QC20 STR | ||
| University of Southampton Library: Hartley Library: Main Collection (Standard Loan) | QC20 STR | ||
| University of Southampton Library | ebrary Online location | Click for access | |
| University of Southampton Library | EBSCOhost Online location | Click for access | |
| University of Southampton Library | MyiLibrary Online location | Click for access | |
| University of Southampton Library | ProQuest Ebook Central Online location | Click for access | |
| University of Southampton Library | Taylor & Francis Online location | Click for access | |
| University of Southampton Library | VLeBooks Online location | Click for access | |
| University of Southampton Library | Online location | Connect to Taylor and Francis e-book Click for access | |
| University of Southampton Library | EBSCOhost Online location | Click for access | |
| University of Southampton Library | ProQuest Ebook Central Online location | Click for access | |
| University of Southampton Library | Taylor & Francis Online location | Click for access | |
| University of Southampton Library | Online location | Click for access | |
| University of Southampton Library | Taylor & Francis Online location | Click for access | |
| University of Strathclyde Library | Online location | ||
| University of Strathclyde Library: VLeBooks Collection | VLeBooks VLeBooks Collection | ||
| University of Strathclyde Library: Standard Loan | MLD D 530.155 STR | ||
| University of Surrey | Online location | ||
| University of Surrey: Main Collection | 501.185 STR | ||
| University of Sussex Library: Library: Short | QE 5360 STR | ||
| University of Sussex Library: Library: Core | QE 5360 STR | ||
| University of Sussex Library | Online location | ||
| Trinity College Dublin Library | Online location | ||
| UCL Library Services | Online location | ||
| UCL Library Services | Online location | ||
| UCL Library Services | Online location | ||
| UCL Library Services | Online location | ||
| University of Warwick Library: Main Library | Q172.5.C45 S767 | ||
| University of Warwick Library: Main Library | Q172.5.C45 S767 | ||
| University of Warwick Library: Main Library | Q172.5.C45 S767 | ||
| University of Warwick Library: Main Library | Q172.5.C45 S767 | ||
| University of Warwick Library: Main Library | Q172.5.C45 S767 | ||
| University of Warwick Library | Online location | Connect to Proquest e-book | |
| University of Warwick Library | Online location | Connect to Taylor and Francis e-book | |
| University of York Libraries | Online location | ||
| University of York Libraries | Online location | ||
| University of York Libraries: University Library: Morrell - Ordinary | S 7.38 STR |