Datseris G. Nonlinear Dynamics. A Concise Introduction...2022 torrent

Textbook in PDF format

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.
Dynamical Systems
Non-chaotic Continuous Dynamics
Defining and Measuring Chaos
Bifurcations and Routes to Chaos
Entropy and Fractal Dimension
Delay Coordinates
Information Across Timeseries
Billiards, Conservative Systems and Ergodicity
Periodically Forced Oscillators and Synchronization
Dynamics on Networks, Power Grids, and Epidemics
Pattern Formation and Spatiotemporal Chaos
Nonlinear Dynamics inWeather and Climate