MARC Record from harvard_bibliographic_metadata

LEADER: 02587nam a22004695a 4500
001 013841642-7
005 20131206202443.0
008 121227s2002 sz | s ||0| 0|eng d
020 $a9783034881678
020 $a9783034881678
020 $a9783764321710
024 7 $a10.1007/978-3-0348-8167-8$2doi
035 $a(Springer)9783034881678
040 $aSpringer
050 4 $aQA313
072 7 $aPBWR$2bicssc
072 7 $aMAT034000$2bisacsh
082 04 $a515.39$223
082 04 $a515.48$223
100 1 $aGolubitsky, Martin,$eauthor.
245 14 $aThe Symmetry Perspective :$bFrom Equilibrium to Chaos in Phase Space and Physical Space /$cby Martin Golubitsky, Ian Stewart.
264 1 $aBasel :$bBirkhäuser Basel :$bImprint: Birkhäuser,$c2002.
300 $aXVII, 325 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aProgress in Mathematics ;$v200
505 0 $aPreface -- Steady-State Bifurcation -- Linear Stability -- Time Periodicity and Spatio-Temporal Symmetry -- Hopf Bifurcation with Symmetry -- Steady-State Bifurcations in Euclidean Equivariant Systems -- Bifurcation From Group Orbits -- Hidden Symmetry and Genericity -- Heteroclinic Cycles -- Symmetric Chaos -- Periodic Solutions of Symmetric Hamiltonian Systems.
520 $aPattern formation in physical systems is one of the major research frontiers of mathematics. A central theme of this book is that many instances of pattern formation can be understood within a single framework: symmetry. The book applies symmetry methods to increasingly complex kinds of dynamic behavior: equilibria, period-doubling, time-periodic states, homoclinic and heteroclinic orbits, and chaos. Examples are drawn from both ODEs and PDEs. In each case the type of dynamical behavior being studied is motivated through applications, drawn from a wide variety of scientific disciplines ranging from theoretical physics to evolutionary biology. An extensive bibliography is provided.
650 20 $aFunctions of complex variables.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aDifferentiable dynamical systems.
650 0 $aFunctions of complex variables.
650 24 $aDynamical Systems and Ergodic Theory.
650 24 $aStatistical Physics, Dynamical Systems and Complexity.
700 1 $aStewart, Ian,$eauthor.
776 08 $iPrinted edition:$z9783764321710
830 0 $aProgress in Mathematics ;$v200.
988 $a20131119
906 $0VEN