The Resource Infinite Dimensional Dynamical Systems, edited by John Mallet-Paret, Jianhong Wu, Yingfie Yi, Huaiping Zhu, (electronic resource)

Infinite Dimensional Dynamical Systems, edited by John Mallet-Paret, Jianhong Wu, Yingfie Yi, Huaiping Zhu, (electronic resource)

Label
Infinite Dimensional Dynamical Systems
Title
Infinite Dimensional Dynamical Systems
Statement of responsibility
edited by John Mallet-Paret, Jianhong Wu, Yingfie Yi, Huaiping Zhu
Creator
Contributor
Editor
Provider
Subject
Language
eng
Summary
This collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic and hyperbolic partial differential equations, solitary equations, lattice differential equations, delay differential equations, and stochastic differential equations. Infinite dimensional dynamical systems are generated by equations describing the evolution in time of systems whose status must be depicted in infinite dimensional phase spaces. Studying the long-term behaviors of such systems is important in our understanding of their spatiotemporal pattern formation and global continuation, and has been among the major sources of motivation and applications of new developments in nonlinear analysis and other mathematical theories. The theory of infinite dimensional dynamical systems has also increasingly important applications in the physical, chemical and life sciences. This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of 2008. As the conference was dedicated to Professor George Sell from University of Minnesota on the occasion of his 70th birthday, this collection reflects his pioneering work and influence in core areas of dynamical systems, including non-autonomous dynamical systems, skew-product flows, invariant manifolds theory, infinite dimensional dynamical systems, approximation dynamics, and fluid flows
Member of
http://library.link/vocab/creatorName
Mallet-Paret, John
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Wu, Jianhong.
  • Yi, Yingfie.
  • Zhu, Huaiping.
  • SpringerLink
Series statement
Fields Institute Communications,
Series volume
64
http://library.link/vocab/subjectName
  • Mathematics
  • Differentiable dynamical systems
  • Differential Equations
  • Differential equations, partial
  • Mathematics
  • Dynamical Systems and Ergodic Theory
  • Partial Differential Equations
  • Ordinary Differential Equations
Label
Infinite Dimensional Dynamical Systems, edited by John Mallet-Paret, Jianhong Wu, Yingfie Yi, Huaiping Zhu, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems (J. Hale, G. Raugel) -- Spectral Theory for Forward Nonautonomus Parabolic Equations and Applications (J. Mierczynski, W. Shen) -- A Dynamical Systems Approach to Traveling Wave Solutions for Liquid/Vapor Phase Transition (H. Fan, X. Lin) -- Instability of Radially-Symmetric Spikes in Systems with Conserved Quantity (A. Pogan, A. Scheel) -- Global Hopf Bifurcation Analysis of a Neuron Network Model with Time Delays (M. Li, J. Wei) -- Instability of Low Density Supersonic Waves of a Viscous Isentropic Gas Flow Through a Nozel (W. Liu, M. Oh) -- A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam Model Near the KdV Limit (A. Hoffman, G. Wayne) -- Littlewood Problem for a Singular Subquadratic Potential (X. Li, Y. Yi) -- Semiflows for Neutral Equations with State-dependent Delay (H.-O. Walther) -- Threshold Dynamics of Scalar Linear Periodic Delay-Differential Equations (Y. Chen, J. Wu) -- Differential Equations with Random Delay (T.S. Doan, S. Siegmund) -- Beyond Diffusion: Conditional Dispersal in Ecological Models (C. Cosner) -- Global Attractor of a Coupled Two-Cell Brusselator Model (Y. You) -- Projectors on the Generalized Eigenspaces for Partial Differential Equations with Time Delay (A. Ducrot, P. Magal, S. Ruan) -- Global Convergence in Monotone and Uniformly Stable Recurrent Skew-Product Semiflows (Y. Wang, X. Zhao) -- The Infinite Hierarchy of Elastic Shell Models: Some Recent Results and a Conjecture (M. Lewicka, R. Pakzad) -- Traveling Wavefronts for Lattic Differential Equations with Time Delay and Global Interaction (S. Ma, Z. Zou) -- Bifurcation of Limit Cycles from a Non-Hamiltonian Quadratic Integrable System with Homoclinic Loop (Y. Zhao, H. Zhu) Anomalous Diffusion in Polymers: Long-Time Behaviour (D. Vorotnikov)
Dimensions
unknown
Extent
VIII, 496 p. 16 illus., 3 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781461445234
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-4523-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-4523-4
Label
Infinite Dimensional Dynamical Systems, edited by John Mallet-Paret, Jianhong Wu, Yingfie Yi, Huaiping Zhu, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems (J. Hale, G. Raugel) -- Spectral Theory for Forward Nonautonomus Parabolic Equations and Applications (J. Mierczynski, W. Shen) -- A Dynamical Systems Approach to Traveling Wave Solutions for Liquid/Vapor Phase Transition (H. Fan, X. Lin) -- Instability of Radially-Symmetric Spikes in Systems with Conserved Quantity (A. Pogan, A. Scheel) -- Global Hopf Bifurcation Analysis of a Neuron Network Model with Time Delays (M. Li, J. Wei) -- Instability of Low Density Supersonic Waves of a Viscous Isentropic Gas Flow Through a Nozel (W. Liu, M. Oh) -- A Simple Proof of the Stability of Solitary Waves in the Fermi-Pasta-Ulam Model Near the KdV Limit (A. Hoffman, G. Wayne) -- Littlewood Problem for a Singular Subquadratic Potential (X. Li, Y. Yi) -- Semiflows for Neutral Equations with State-dependent Delay (H.-O. Walther) -- Threshold Dynamics of Scalar Linear Periodic Delay-Differential Equations (Y. Chen, J. Wu) -- Differential Equations with Random Delay (T.S. Doan, S. Siegmund) -- Beyond Diffusion: Conditional Dispersal in Ecological Models (C. Cosner) -- Global Attractor of a Coupled Two-Cell Brusselator Model (Y. You) -- Projectors on the Generalized Eigenspaces for Partial Differential Equations with Time Delay (A. Ducrot, P. Magal, S. Ruan) -- Global Convergence in Monotone and Uniformly Stable Recurrent Skew-Product Semiflows (Y. Wang, X. Zhao) -- The Infinite Hierarchy of Elastic Shell Models: Some Recent Results and a Conjecture (M. Lewicka, R. Pakzad) -- Traveling Wavefronts for Lattic Differential Equations with Time Delay and Global Interaction (S. Ma, Z. Zou) -- Bifurcation of Limit Cycles from a Non-Hamiltonian Quadratic Integrable System with Homoclinic Loop (Y. Zhao, H. Zhu) Anomalous Diffusion in Polymers: Long-Time Behaviour (D. Vorotnikov)
Dimensions
unknown
Extent
VIII, 496 p. 16 illus., 3 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9781461445234
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-4523-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-4523-4

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