LEADER 03642nam 2200685Ia 450 001 9910817994603321 005 20200520144314.0 010 $a1-107-19468-7 010 $a1-139-63673-1 010 $a0-511-62720-3 010 $a0-511-65151-1 010 $a0-511-59363-5 010 $a0-511-59270-1 010 $a0-511-59556-5 035 $a(CKB)1000000000784174 035 $a(EBL)451926 035 $a(OCoLC)609842872 035 $a(SSID)ssj0000341302 035 $a(PQKBManifestationID)11255160 035 $a(PQKBTitleCode)TC0000341302 035 $a(PQKBWorkID)10389749 035 $a(PQKB)11292795 035 $a(UkCbUP)CR9780511627200 035 $a(Au-PeEL)EBL451926 035 $a(CaPaEBR)ebr10329801 035 $a(CaONFJC)MIL239348 035 $a(MiAaPQ)EBC451926 035 $a(PPN)261336274 035 $a(EXLCZ)991000000000784174 100 $a20081103d2009 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPattern formation and dynamics in nonequilibrium systems /$fMichael Cross, Henry Greenside 205 $a1st ed. 210 $aCambridge, UK ;$aNew York $cCambridge University Press$d2009 215 $a1 online resource (xvi, 535 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 1 $a0-521-77935-9 311 1 $a0-521-77050-5 311 1 $a9780521770507 320 $aIncludes bibliographical references (p. 526-530) and index. 327 $aCover; 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; Index 330 $aMany 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. 606 $aPattern formation (Physical sciences) 606 $aChaotic behavior in systems 615 0$aPattern formation (Physical sciences) 615 0$aChaotic behavior in systems. 676 $a500.201185 700 $aCross$b Michael$0513302 701 $aGreenside$b Henry$0513303 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817994603321 996 $aPattern formation and dynamics in nonequilibrium systems$9761718 997 $aUNINA