03642nam 2200685Ia 450 991081799460332120200520144314.01-107-19468-71-139-63673-10-511-62720-30-511-65151-10-511-59363-50-511-59270-10-511-59556-5(CKB)1000000000784174(EBL)451926(OCoLC)609842872(SSID)ssj0000341302(PQKBManifestationID)11255160(PQKBTitleCode)TC0000341302(PQKBWorkID)10389749(PQKB)11292795(UkCbUP)CR9780511627200(Au-PeEL)EBL451926(CaPaEBR)ebr10329801(CaONFJC)MIL239348(MiAaPQ)EBC451926(PPN)261336274(EXLCZ)99100000000078417420081103d2009 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierPattern formation and dynamics in nonequilibrium systems /Michael Cross, Henry Greenside1st ed.Cambridge, UK ;New York Cambridge University Press20091 online resource (xvi, 535 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-77935-9 0-521-77050-5 9780521770507 Includes bibliographical references (p. 526-530) and index.Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Introduction; 2 Linear instability: basics; 3 Linear instability: applications to reacting and diffusing chemicals; 4 Nonlinear states; 5 Models; 6 One-dimensional amplitude equation; 7 Amplitude equations for two-dimensional patterns; 8 Defects and fronts; 9 Patterns far from threshold; 10 Oscillatory patterns; 11 Excitable media; 12 Numerical methods; Appendix 1 Elementary bifurcation theory; Appendix 2 Multiple scales perturbation theory; Glossary; References; IndexMany exciting frontiers of science and engineering require understanding the spatiotemporal properties of sustained nonequilibrium systems such as fluids, plasmas, reacting and diffusing chemicals, crystals solidifying from a melt, heart muscle, and networks of excitable neurons in brains. This introductory textbook for graduate students in biology, chemistry, engineering, mathematics, and physics provides a systematic account of the basic science common to these diverse areas. This book provides a careful pedagogical motivation of key concepts, discusses why diverse nonequilibrium systems often show similar patterns and dynamics, and gives a balanced discussion of the role of experiments, simulation, and analytics. It contains numerous worked examples and over 150 exercises. This book will also interest scientists who want to learn about the experiments, simulations, and theory that explain how complex patterns form in sustained nonequilibrium systems.Pattern formation (Physical sciences)Chaotic behavior in systemsPattern formation (Physical sciences)Chaotic behavior in systems.500.201185Cross Michael513302Greenside Henry513303MiAaPQMiAaPQMiAaPQBOOK9910817994603321Pattern formation and dynamics in nonequilibrium systems761718UNINA