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Title
Nonlinear dynamics : a concise introduction interlaced with code / George Datseris, Ulrich Parlitz.
ISBN
9783030910327 (electronic bk.)
3030910326 (electronic bk.)
3030910318
9783030910310
Publication Details
Cham, Switzerland : Springer, 2022.
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-030-91032-7 doi
Call Number
Q295
Dewey Decimal Classification
531/.11
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 21, 2022).
Series
Undergraduate lecture notes in physics.
Available in Other Form
Print version: 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.