The Resource Dynamics of Nonlinear Time-Delay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource)

Dynamics of Nonlinear Time-Delay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource)

Label
Dynamics of Nonlinear Time-Delay Systems
Title
Dynamics of Nonlinear Time-Delay Systems
Statement of responsibility
by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar
Creator
Contributor
Author
Author
Subject
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, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay 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 time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay 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 real-world applications
Member of
Is Subseries of
http://library.link/vocab/creatorName
Lakshmanan, Muthusamy
Dewey number
629.836
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 7hl7jxf7if8
  • 13s8ROIJD-g
Language note
English
LC call number
QC174.7-175.36
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 Time-Delay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource)
Instantiates
Publication
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 Time-delayed 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 Time-delay 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 Car-following Models -- A Computing Lyapunov Exponents for Time-delay 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
10.1007/978-3-642-14938-2
Specific material designation
remote
System control number
  • (CKB)2670000000065055
  • (EBL)666810
  • (OCoLC)701718785
  • (SSID)ssj0000476086
  • (PQKBManifestationID)11315446
  • (PQKBTitleCode)TC0000476086
  • (PQKBWorkID)10470000
  • (PQKB)11398908
  • (DE-He213)978-3-642-14938-2
  • (MiAaPQ)EBC666810
  • (EXLCZ)992670000000065055
Label
Dynamics of Nonlinear Time-Delay Systems, by Muthusamy Lakshmanan, Dharmapuri Vijayan Senthilkumar, (electronic resource)
Publication
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 Time-delayed 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 Time-delay 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 Car-following Models -- A Computing Lyapunov Exponents for Time-delay 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
10.1007/978-3-642-14938-2
Specific material designation
remote
System control number
  • (CKB)2670000000065055
  • (EBL)666810
  • (OCoLC)701718785
  • (SSID)ssj0000476086
  • (PQKBManifestationID)11315446
  • (PQKBTitleCode)TC0000476086
  • (PQKBWorkID)10470000
  • (PQKB)11398908
  • (DE-He213)978-3-642-14938-2
  • (MiAaPQ)EBC666810
  • (EXLCZ)992670000000065055

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