LEADER 03426nam 22007095 450 001 9910552732403321 005 20251113183659.0 010 $a3-030-91032-6 024 7 $a10.1007/978-3-030-91032-7 035 $a(MiAaPQ)EBC6922444 035 $a(Au-PeEL)EBL6922444 035 $a(CKB)21397535300041 035 $a(PPN)261520210 035 $a(OCoLC)1303670071 035 $a(DE-He213)978-3-030-91032-7 035 $a(EXLCZ)9921397535300041 100 $a20220313d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonlinear Dynamics $eA Concise Introduction Interlaced with Code /$fby George Datseris, Ulrich Parlitz 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (243 pages) 225 1 $aUndergraduate Lecture Notes in Physics,$x2192-4805 311 08$aPrint version: Datseris, George Nonlinear Dynamics Cham : Springer International Publishing AG,c2022 9783030910310 327 $aPart I Introduction -- Dynamical Systems -- Non-Chaotic Continuous Dynamics -- Part II Methods -- Defining and Measuring Chaos -- Bifurcations and Routes to Chaos -- Entropy and Dimension -- Delay Coordinates -- Information Across Timeseries -- Part III Applications -- Billiards, Conservative Systems and Ergodicity -- Forced Oscillators and Synchronisation -- Networds, Agent-Based Models and Epidemics -- Extended Systems and Spatiotemporal Chaos -- Nonlinear Dynamics of Climate & Climate Change. 330 $aThis concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills. 410 0$aUndergraduate Lecture Notes in Physics,$x2192-4805 606 $aSystem theory 606 $aDynamics 606 $aClimatology 606 $aTime-series analysis 606 $aStochastic processes 606 $aComplex Systems 606 $aDynamical Systems 606 $aClimate Sciences 606 $aTime Series Analysis 606 $aStochastic Networks 615 0$aSystem theory. 615 0$aDynamics. 615 0$aClimatology. 615 0$aTime-series analysis. 615 0$aStochastic processes. 615 14$aComplex Systems. 615 24$aDynamical Systems. 615 24$aClimate Sciences. 615 24$aTime Series Analysis. 615 24$aStochastic Networks. 676 $a531 676 $a531.11 700 $aDatseris$b George$01214413 702 $aParlitz$b Ulrich 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910552732403321 996 $aNonlinear dynamics$92951030 997 $aUNINA