UID:
almahu_9949272607602882
Format:
XV, 236 p. 116 illus., 103 illus. in color.
,
online resource.
Edition:
1st ed. 2022.
ISBN:
9783030910327
Series Statement:
Undergraduate Lecture Notes in Physics,
Content:
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.
Note:
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.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030910310
Additional Edition:
Printed edition: ISBN 9783030910334
Language:
English
Subjects:
Physics
,
Mathematics
DOI:
10.1007/978-3-030-91032-7
URL:
https://doi.org/10.1007/978-3-030-91032-7
URL:
Volltext
(URL des Erstveröffentlichers)
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