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020 $a1402063563
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024 7 $a10.1007/978-1-4020-6356-5$2doi
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037 $a978-1-4020-6355-8$bSpringer$nhttp://www.springerlink.com
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082 04 $a515.353$222
084 $aO175. 8$2clc
245 00 $aNumerical continuation methods for dynamical systems :$bpath following and boundary value problems /$c[edited by] Bernd Krauskopf, Hinke M. Osinga, Jorge Galán-Vioque.
260 $aDordrecht :$bSpringer,$c©2007.
300 $a1 online resource (xix, 399 pages) :$billustrations (some color)
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file
347 $bPDF
490 1 $aUnderstanding complex systems
490 1 $aSpringer complexity
504 $aIncludes bibliographical references.
505 0 $aFront Matter; Lecture Notes on Numerical Analysis of Nonlinear Equations; Interactive Continuation Tools; Higher-Dimensional Continuation; Computing Invariant Manifolds via the Continuation of Orbit Segments; The Dynamics of SQUIDs and Coupled Pendula; Global Bifurcation Analysis in Laser Systems; Numerical Bifurcation Analysis of Electronic Circuits; Periodic Orbit Continuation in Multiple Time Scale Systems; Continuation of Periodic Orbits in Symmetric Hamiltonian Systems; Phase Conditions, Symmetries and PDE Continuation; Numerical Computation of Coherent Structures.
520 $aPath following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped.
588 0 $aPrint version record.
650 0 $aContinuation methods.
650 0 $aBoundary value problems$xComputer programs.
650 0 $aDifferentiable dynamical systems.
650 0 $aNumerical analysis.
650 0 $aBifurcation theory.
650 6 $aProlongement (Mathématiques)
650 6 $aDynamique différentiable.
650 6 $aAnalyse numérique.
650 6 $aThéorie de la bifurcation.
650 7 $aMATHEMATICS$xDifferential Equations$xPartial.$2bisacsh
650 07 $aBoundary value problems$xComputer programs.$2cct
650 07 $aDifferentiable dynamical systems.$2cct
650 07 $aNumerical analysis.$2cct
650 07 $aBifurcation theory.$2cct
650 07 $aContinuation methods.$2cct
650 7 $aBifurcation theory.$2fast$0(OCoLC)fst00831564
650 7 $aBoundary value problems$xComputer programs.$2fast$0(OCoLC)fst00837124
650 7 $aContinuation methods.$2fast$0(OCoLC)fst00876702
650 7 $aDifferentiable dynamical systems.$2fast$0(OCoLC)fst00893426
650 7 $aNumerical analysis.$2fast$0(OCoLC)fst01041273
655 4 $aElectronic books.
700 1 $aKrauskopf, Bernd.
700 1 $aOsinga, Hinke M.
700 1 $aGalán-Vioque, Jorge.
776 08 $iPrint version:$tNumerical continuation methods for dynamical systems.$dDordrecht : Springer, ©2007$z1402063555$z9781402063558$w(OCoLC)171111215
830 0 $aUnderstanding complex systems.
830 0 $aSpringer complexity.
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