The Resource Topological degree approach to bifurcation problems, Michal Fečkan
Topological degree approach to bifurcation problems, Michal Fečkan
Resource Information
The item Topological degree approach to bifurcation problems, Michal Fečkan represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Topological degree approach to bifurcation problems, Michal Fečkan represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Topological bifurcation theory is one of the most essential topics in mathematics. This book contains original bifurcation results for the existence of oscillations and chaotic behaviour of differential equations and discrete dynamical systems under variation of involved parameters. Using topological degree theory and a perturbation approach in dynamical systems, a broad variety of nonlinear problems are studied, including: nonsmooth mechanical systems with dry frictions; weakly coupled oscillators; systems with relay hysteresis; differential equations on infinite lattices of FrenkelKontorova and discretized KleinGordon types; blue sky catastrophes for reversible dynamical systems; buckling of beams; and discontinuous wave equations. Precise and complete proofs, together with concrete applications with many stimulating and illustrating examples, make this book valuable to both the applied sciences and mathematical fields, ensuring the book should not only be of interest to mathematicians but to physicists and theoretically inclined engineers interested in bifurcation theory and its applications to dynamical systems and nonlinear analysis
 Language
 eng
 Extent
 1 online resource (ix, 261 pages)
 Contents

 1: Introduction
 2: Theoretical Background
 3: Bifurcation of Periodic Solutions
 4: Bifurcation of Chaotic Solutions
 5: Topological Transversality
 6: Travelling Waves on Lattices
 7: Periodic Oscillations of Wave Equations
 8: Topological Degree for Wave Equations
 Bibliography
 Index
 Isbn
 9781402087240
 Label
 Topological degree approach to bifurcation problems
 Title
 Topological degree approach to bifurcation problems
 Statement of responsibility
 Michal Fečkan
 Language
 eng
 Summary
 Topological bifurcation theory is one of the most essential topics in mathematics. This book contains original bifurcation results for the existence of oscillations and chaotic behaviour of differential equations and discrete dynamical systems under variation of involved parameters. Using topological degree theory and a perturbation approach in dynamical systems, a broad variety of nonlinear problems are studied, including: nonsmooth mechanical systems with dry frictions; weakly coupled oscillators; systems with relay hysteresis; differential equations on infinite lattices of FrenkelKontorova and discretized KleinGordon types; blue sky catastrophes for reversible dynamical systems; buckling of beams; and discontinuous wave equations. Precise and complete proofs, together with concrete applications with many stimulating and illustrating examples, make this book valuable to both the applied sciences and mathematical fields, ensuring the book should not only be of interest to mathematicians but to physicists and theoretically inclined engineers interested in bifurcation theory and its applications to dynamical systems and nonlinear analysis
 Cataloging source
 N$T
 http://library.link/vocab/creatorName
 Fečkan, Michal
 Dewey number
 514
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA380
 LC item number
 .F43 2008eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
 Series statement
 Topological fixed point theory and its applications
 Series volume
 vol. 5
 http://library.link/vocab/subjectName

 Bifurcation theory
 Topology
 MATHEMATICS
 Bifurcation theory
 Topology
 Bifurcation theory
 Topology
 Topologia
 Teoria da bifurcação
 Label
 Topological degree approach to bifurcation problems, Michal Fečkan
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 243256) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1: Introduction  2: Theoretical Background  3: Bifurcation of Periodic Solutions  4: Bifurcation of Chaotic Solutions  5: Topological Transversality  6: Travelling Waves on Lattices  7: Periodic Oscillations of Wave Equations  8: Topological Degree for Wave Equations  Bibliography  Index
 Control code
 367579404
 Dimensions
 unknown
 Extent
 1 online resource (ix, 261 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781402087240
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)367579404
 Label
 Topological degree approach to bifurcation problems, Michal Fečkan
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 243256) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1: Introduction  2: Theoretical Background  3: Bifurcation of Periodic Solutions  4: Bifurcation of Chaotic Solutions  5: Topological Transversality  6: Travelling Waves on Lattices  7: Periodic Oscillations of Wave Equations  8: Topological Degree for Wave Equations  Bibliography  Index
 Control code
 367579404
 Dimensions
 unknown
 Extent
 1 online resource (ix, 261 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9781402087240
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)367579404
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Topologicaldegreeapproachtobifurcation/vjxd_Et0kwo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Topologicaldegreeapproachtobifurcation/vjxd_Et0kwo/">Topological degree approach to bifurcation problems, Michal Fečkan</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>