1.

Record Nr.

UNINA9910552732403321

Autore

Datseris George

Titolo

Nonlinear Dynamics : A Concise Introduction Interlaced with Code / / by George Datseris, Ulrich Parlitz

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022

ISBN

3-030-91032-6

Edizione

[1st ed. 2022.]

Descrizione fisica

1 online resource (243 pages)

Collana

Undergraduate Lecture Notes in Physics, , 2192-4805

Disciplina

531

531.11

Soggetti

System theory

Dynamics

Climatology

Time-series analysis

Stochastic processes

Complex Systems

Dynamical Systems

Climate Sciences

Time Series Analysis

Stochastic Networks

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.