03426nam 22007095 450 991055273240332120251113183659.03-030-91032-610.1007/978-3-030-91032-7(MiAaPQ)EBC6922444(Au-PeEL)EBL6922444(CKB)21397535300041(PPN)261520210(OCoLC)1303670071(DE-He213)978-3-030-91032-7(EXLCZ)992139753530004120220313d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierNonlinear Dynamics A Concise Introduction Interlaced with Code /by George Datseris, Ulrich Parlitz1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (243 pages)Undergraduate Lecture Notes in Physics,2192-4805Print version: Datseris, George Nonlinear Dynamics Cham : Springer International Publishing AG,c2022 9783030910310 Part 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.This 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.Undergraduate Lecture Notes in Physics,2192-4805System theoryDynamicsClimatologyTime-series analysisStochastic processesComplex SystemsDynamical SystemsClimate SciencesTime Series AnalysisStochastic NetworksSystem theory.Dynamics.Climatology.Time-series analysis.Stochastic processes.Complex Systems.Dynamical Systems.Climate Sciences.Time Series Analysis.Stochastic Networks.531531.11Datseris George1214413Parlitz UlrichMiAaPQMiAaPQMiAaPQBOOK9910552732403321Nonlinear dynamics2951030UNINA