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Nonlinear Dynamics = A Concise Introduction Interlaced with Code /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Nonlinear Dynamics/ by George Datseris, Ulrich Parlitz.
Reminder of title:
A Concise Introduction Interlaced with Code /
Author:
Datseris, George.
other author:
Parlitz, Ulrich.
Description:
XV, 236 p. 116 illus., 103 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
System theory. -
Online resource:
https://doi.org/10.1007/978-3-030-91032-7
ISBN:
9783030910327
Nonlinear Dynamics = A Concise Introduction Interlaced with Code /
Datseris, George.
Nonlinear Dynamics
A Concise Introduction Interlaced with Code /[electronic resource] :by George Datseris, Ulrich Parlitz. - 1st ed. 2022. - XV, 236 p. 116 illus., 103 illus. in color.online resource. - Undergraduate Lecture Notes in Physics,2192-4805. - Undergraduate Lecture Notes in Physics,.
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.
ISBN: 9783030910327
Standard No.: 10.1007/978-3-030-91032-7doiSubjects--Topical Terms:
566168
System theory.
LC Class. No.: Q295
Dewey Class. No.: 530.1
Nonlinear Dynamics = A Concise Introduction Interlaced with Code /
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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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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.
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