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datseris g nonlinear dynamics concise introduction 2022

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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

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Datseris G. Nonlinear Dynamics. A Concise Introduction...2022.pdf 9.4 MB

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datseris g nonlinear dynamics concise introduction 2022