Nonlinear Dynamics

A Concise Introduction Interlaced with Code

George Datseris, Ulrich Parlitz (Autoren)

Buch | Softcover

XV, 236 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-030-91031-0 (ISBN)

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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.

lt;p>George Datseris is a postdoctoral researcher at the Max Planck Institute for Meteorology, Hamburg (Germany), working on the nonlinear dynamics of climate. He has taught several courses on nonlinear dynamics and has developed interactive applications for use in teaching. He is also the lead developer of the software organization JuliaDynamics, which is by far the largest collection of software on nonlinear dynamics and even includes award winning software like DynamicalSystems.jl.

Ulrich Parlitz works at the Max Planck Institute for Dynamics and Self-Organization, Göttingen (Germany), in the Research Group Biomedical Physics and he is also affiliated with the Faculty of Physics of the University of Göttingen where he teaches for 25 years courses on nonlinear dynamics, data analysis, and complex systems. His main scientific interests include dynamical systems, cardiac dynamics, time series analysis and machine learning.

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.

Erscheinungsdatum	15.03.2022
Reihe/Serie	Undergraduate Lecture Notes in Physics
Zusatzinfo	XV, 236 p. 116 illus., 103 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	387 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Deterministic Chaos • fractal dimension • Lyapunov exponents • meteorology • Networks • Nonlinear Climate Dynamics • Nonlinear Dynamics • nonlinear oscillators • Nonlinear time series analysis • Practical introduction • Synchronization • Time Series Analysis
ISBN-10	3-030-91031-8 / 3030910318
ISBN-13	978-3-030-91031-0 / 9783030910310
Zustand	Neuware