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Nonlinear Dynamics and Chaos

2018-05-04 Mathematics
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Release : 2018-05-04
Genre : Mathematics
Kind : eBook
Book Rating : 111/5 ( reviews)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz. This book was released on 2018-05-04. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Nonlinear Physics of Ecosystems

2015-04-15 Nature
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Release : 2015-04-15
Genre : Nature
Kind : eBook
Book Rating : 323/5 ( reviews)

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Book Synopsis Nonlinear Physics of Ecosystems by : Ehud Meron

Download or read book Nonlinear Physics of Ecosystems written by Ehud Meron. This book was released on 2015-04-15. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Physics of Ecosystems introduces the concepts and tools of pattern formation theory and demonstrates their utility in ecological research using problems from spatial ecology. Written in language understandable to both physicists and ecologists in most parts, the book reveals the mechanisms of pattern formation and pattern dynamics. It als

Nonlinear Dynamics

2022-03-13 Science
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Release : 2022-03-13
Genre : Science
Kind : eBook
Book Rating : 326/5 ( reviews)

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Book Synopsis Nonlinear Dynamics by : George Datseris

Download or read book Nonlinear Dynamics written by George Datseris. This book was released on 2022-03-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Physics with Mathematica for Scientists and Engineers

2001-06-26 Mathematics
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Release : 2001-06-26
Genre : Mathematics
Kind : eBook
Book Rating : 235/5 ( reviews)

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Book Synopsis Nonlinear Physics with Mathematica for Scientists and Engineers by : Richard H. Enns

Download or read book Nonlinear Physics with Mathematica for Scientists and Engineers written by Richard H. Enns. This book was released on 2001-06-26. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.

Introduction to Nonlinear Physics

2003-11-14 Science
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Release : 2003-11-14
Genre : Science
Kind : eBook
Book Rating : 145/5 ( reviews)

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Book Synopsis Introduction to Nonlinear Physics by : Lui Lam

Download or read book Introduction to Nonlinear Physics written by Lui Lam. This book was released on 2003-11-14. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems. Nonlinear phenomena are important in many fields, including dynamical systems, fluid dynamics, materials science, statistical physics, and paritcel physics. The general principles developed in this text are applicable in a wide variety of fields in the natural and social sciences. The book will thus be of interest not only to physicists, but also to engineers, chemists, geologists, biologists, economists, and others interested in nonlinear phenomena. Examples and exercises complement the text, and extensive references provide a guide to research in the field.

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