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The Resource Dynamics of Nonlinear TimeDelay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource)
Dynamics of Nonlinear TimeDelay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource)
Resource Information
The item Dynamics of Nonlinear TimeDelay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Dynamics of Nonlinear TimeDelay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, timedelay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, timedelay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic timedelay systems and their synchronization with an emphasis on the effects of timedelay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic timedelay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of realworld applications
 Language

 eng
 eng
 Edition
 1st ed. 2011.
 Extent
 1 online resource (321 p.)
 Note
 Description based upon print version of record
 Contents

 Delay Differential Equations
 Linear Stability and Bifurcation Analysis
 Bifurcation and Chaos in Timedelayed Piecewise Linear
 A Few Other Interesting Chaotic Delay Differential Equations
 Implications of Delay Feebdack: Amplitude Death and Other Effects
 Recent Developments on Delay Feedback/Coupling: Complex
 Complete Synchronization in Coupled Timedelay Systems
 Transition from Anticipatory to Lag Synchronization via Complete
 Intermittency Transition to Generalized Snychronization
 Transition from Phase to Generalized Synchronization
 DTM Induced Oscillating Synchronization
 Exact Solutions of Certain Time Delay Systems: The Carfollowing Models
 A Computing Lyapunov Exponents for Timedelay systems
 B A Brief Introduction to Synchronization in Chaotic Dynamical Systems
 C Recurrence Analysis
 References
 Glossary
 Index
 Isbn
 9786613077479
 Label
 Dynamics of Nonlinear TimeDelay Systems
 Title
 Dynamics of Nonlinear TimeDelay Systems
 Statement of responsibility
 by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar
 Subject

 Dynamical systems
 Dynamics
 Electronic circuits
 Engineering mathematics
 Mathematical and Computational Engineering
 Physics
 Statistical physics
 Applications of Graph Theory and Complex Networks
 Systems Theory, Control
 Vibration
 Vibration, Dynamical Systems, Control
 System theory
 Applications of Nonlinear Dynamics and Chaos Theory
 Applied mathematics
 Circuits and Systems
 Language

 eng
 eng
 Summary
 Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, timedelay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, timedelay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic timedelay systems and their synchronization with an emphasis on the effects of timedelay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic timedelay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of realworld applications
 http://library.link/vocab/creatorName
 Lakshmanan, Muthusamy
 Dewey number
 629.836
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 7hl7jxf7if8
 13s8ROIJDg
 Language note
 English
 LC call number
 QC174.7175.36
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Senthilkumar, Dharmapuri Vijayan.
 Series statement
 Springer Series in Synergetics,
 http://library.link/vocab/subjectName

 Statistical physics
 Vibration
 Dynamical systems
 Dynamics
 System theory
 Applied mathematics
 Engineering mathematics
 Physics
 Electronic circuits
 Applications of Nonlinear Dynamics and Chaos Theory
 Vibration, Dynamical Systems, Control
 Systems Theory, Control
 Mathematical and Computational Engineering
 Applications of Graph Theory and Complex Networks
 Circuits and Systems
 Label
 Dynamics of Nonlinear TimeDelay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Delay Differential Equations  Linear Stability and Bifurcation Analysis  Bifurcation and Chaos in Timedelayed Piecewise Linear  A Few Other Interesting Chaotic Delay Differential Equations  Implications of Delay Feebdack: Amplitude Death and Other Effects  Recent Developments on Delay Feedback/Coupling: Complex  Complete Synchronization in Coupled Timedelay Systems  Transition from Anticipatory to Lag Synchronization via Complete  Intermittency Transition to Generalized Snychronization  Transition from Phase to Generalized Synchronization  DTM Induced Oscillating Synchronization  Exact Solutions of Certain Time Delay Systems: The Carfollowing Models  A Computing Lyapunov Exponents for Timedelay systems  B A Brief Introduction to Synchronization in Chaotic Dynamical Systems  C Recurrence Analysis  References  Glossary  Index
 Dimensions
 unknown
 Edition
 1st ed. 2011.
 Extent
 1 online resource (321 p.)
 Form of item
 online
 Isbn
 9786613077479
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783642149382
 Specific material designation
 remote
 System control number

 (CKB)2670000000065055
 (EBL)666810
 (OCoLC)701718785
 (SSID)ssj0000476086
 (PQKBManifestationID)11315446
 (PQKBTitleCode)TC0000476086
 (PQKBWorkID)10470000
 (PQKB)11398908
 (DEHe213)9783642149382
 (MiAaPQ)EBC666810
 (EXLCZ)992670000000065055
 Label
 Dynamics of Nonlinear TimeDelay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Delay Differential Equations  Linear Stability and Bifurcation Analysis  Bifurcation and Chaos in Timedelayed Piecewise Linear  A Few Other Interesting Chaotic Delay Differential Equations  Implications of Delay Feebdack: Amplitude Death and Other Effects  Recent Developments on Delay Feedback/Coupling: Complex  Complete Synchronization in Coupled Timedelay Systems  Transition from Anticipatory to Lag Synchronization via Complete  Intermittency Transition to Generalized Snychronization  Transition from Phase to Generalized Synchronization  DTM Induced Oscillating Synchronization  Exact Solutions of Certain Time Delay Systems: The Carfollowing Models  A Computing Lyapunov Exponents for Timedelay systems  B A Brief Introduction to Synchronization in Chaotic Dynamical Systems  C Recurrence Analysis  References  Glossary  Index
 Dimensions
 unknown
 Edition
 1st ed. 2011.
 Extent
 1 online resource (321 p.)
 Form of item
 online
 Isbn
 9786613077479
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783642149382
 Specific material designation
 remote
 System control number

 (CKB)2670000000065055
 (EBL)666810
 (OCoLC)701718785
 (SSID)ssj0000476086
 (PQKBManifestationID)11315446
 (PQKBTitleCode)TC0000476086
 (PQKBWorkID)10470000
 (PQKB)11398908
 (DEHe213)9783642149382
 (MiAaPQ)EBC666810
 (EXLCZ)992670000000065055
Subject
 Dynamical systems
 Dynamics
 Electronic circuits
 Engineering mathematics
 Mathematical and Computational Engineering
 Physics
 Statistical physics
 Applications of Graph Theory and Complex Networks
 Systems Theory, Control
 Vibration
 Vibration, Dynamical Systems, Control
 System theory
 Applications of Nonlinear Dynamics and Chaos Theory
 Applied mathematics
 Circuits and Systems
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