Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering / Steven H. Strogatz ; text design by Robert B. Kern.

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""
Other names
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
Internet Resources
Related Internet Resources

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.

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

Export: