Nonlinear Dynamics A Concise Introduction Interlaced with Code

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...

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Bibliographic Details
Main Authors: Datseris, George, Parlitz, Ulrich (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Undergraduate Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Nonlinear Dynamics  |h Elektronische Ressource  |b A Concise Introduction Interlaced with Code  |c by George Datseris, Ulrich Parlitz 
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505 0 |a 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 
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653 |a Climatology 
653 |a Dynamical Systems 
653 |a Stochastic Networks 
653 |a Climate Sciences 
653 |a Time-series analysis 
653 |a Time Series Analysis 
653 |a System theory 
653 |a Stochastic processes 
653 |a Dynamical systems 
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520 |a 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