Coverart for item
The Resource Multiple-time-scale dynamical systems, Christopher K.R.T. Jones, Alexander I. Khibnik, editors

Multiple-time-scale dynamical systems, Christopher K.R.T. Jones, Alexander I. Khibnik, editors

Label
Multiple-time-scale dynamical systems
Title
Multiple-time-scale dynamical systems
Statement of responsibility
Christopher K.R.T. Jones, Alexander I. Khibnik, editors
Contributor
Subject
Genre
Language
eng
Summary
  • "This volume contains papers that expose the state of the art in mathematical techniques for analyzing such systems. Recently developed geometric ideas are highlighted in work that includes a theory of relaxation-oscillation phenomena in higher dimensional phase spaces. Subtle exponentially small effects result from singular perturbations implicit in certain multiple-time-scale systems. Their role in the slow motion of fronts, bifurcations, and jumping between invariant tori is all explored here. Neurobiology has played a particularly stimulating role in the development of these techniques, and one paper is directed specifically at applying geometric singular perturbation theory to reveal the synchrony in networks of neural oscillators."--Jacket
  • "This volume contains papers that expose the state of the art in mathematical techniques for analyzing such systems. Recently developed geometric ideas are highlighted in work that includes a theory of relaxation-oscillation phenomena in higher dimensional phase spaces. Subtle exponentially small effects result from singular perturbations implicit in certain multiple-time-scale systems. Their role in the slow motion of fronts, bifurcations, and jumping between invariant tori is all explored here. Neurobiology has played a particularly stimulating role in the development of these techniques, and one paper is directed specifically at applying geometric singular perturbation theory to reveal the synchrony in networks of neural oscillators."--BOOK JACKET
Member of
Cataloging source
DLC
Dewey number
515/.35
Illustrations
illustrations
Index
no index present
LC call number
QA871
LC item number
.M85 2001
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Jones, C. K. R. T.
  • Khibnik, A. I.
Series statement
The IMA volumes in mathematics and its applications
Series volume
v. 122
http://library.link/vocab/subjectName
Perturbation (Mathematics)
Label
Multiple-time-scale dynamical systems, Christopher K.R.T. Jones, Alexander I. Khibnik, editors
Instantiates
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Homoclinic orbits to invariant tori in Hamiltonian systems / Amadeu Delshams and Pere Gutiérrez -- Geometric singular perturbation theory beyond normal hyperbolicity / Freddy Dumortier and Robert Roussarie -- A primer on the exchange lemma for fast-slow systems / Tasso J. Kaper and Christopher K.R.T. Jones -- Geometric analysis of the singularly perturbed planar fold / M. Krupa and P. Szmolyan -- Multiple time scales and canards in a chemical oscillator / Alexandra Milik and Peter Szmolyan -- A geometric method for periodic orbits in singularly-perturbed systems / Cristina Soto-Treviño --The phenomenon of delayed bifurcation and its analyses / Jianzhong Su -- Synchrony in networks of neuronal oscillators / D. Terman -- Metastable dynamics and exponential asymptotics in multi-dimensional domains / Michael J. Ward
Control code
44594133
Dimensions
25 cm
Extent
xi, 263 pages
Isbn
9780387951263
Isbn Type
(alk. paper)
Lccn
00059469
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
Label
Multiple-time-scale dynamical systems, Christopher K.R.T. Jones, Alexander I. Khibnik, editors
Publication
Bibliography note
Includes bibliographical references
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Homoclinic orbits to invariant tori in Hamiltonian systems / Amadeu Delshams and Pere Gutiérrez -- Geometric singular perturbation theory beyond normal hyperbolicity / Freddy Dumortier and Robert Roussarie -- A primer on the exchange lemma for fast-slow systems / Tasso J. Kaper and Christopher K.R.T. Jones -- Geometric analysis of the singularly perturbed planar fold / M. Krupa and P. Szmolyan -- Multiple time scales and canards in a chemical oscillator / Alexandra Milik and Peter Szmolyan -- A geometric method for periodic orbits in singularly-perturbed systems / Cristina Soto-Treviño --The phenomenon of delayed bifurcation and its analyses / Jianzhong Su -- Synchrony in networks of neuronal oscillators / D. Terman -- Metastable dynamics and exponential asymptotics in multi-dimensional domains / Michael J. Ward
Control code
44594133
Dimensions
25 cm
Extent
xi, 263 pages
Isbn
9780387951263
Isbn Type
(alk. paper)
Lccn
00059469
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations

Library Locations

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      38.944377 -92.326537
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