An Introduction to Dynamical Systems and Chaos

Nonfiction, Science & Nature, Mathematics, Linear Programming, Mathematical Analysis
Cover of the book An Introduction to Dynamical Systems and Chaos by G.C. Layek, Springer India
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: G.C. Layek ISBN: 9788132225560
Publisher: Springer India Publication: December 1, 2015
Imprint: Springer Language: English
Author: G.C. Layek
ISBN: 9788132225560
Publisher: Springer India
Publication: December 1, 2015
Imprint: Springer
Language: English

The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9–13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book.

 

Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9–13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book.

 

Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.

More books from Springer India

Cover of the book Microfinance, Risk-taking Behaviour and Rural Livelihood by G.C. Layek
Cover of the book Managing Flexibility by G.C. Layek
Cover of the book Global Economic Cooperation by G.C. Layek
Cover of the book Applied Analysis in Biological and Physical Sciences by G.C. Layek
Cover of the book Principles of Critical Care in Obstetrics by G.C. Layek
Cover of the book Water Resource Economics by G.C. Layek
Cover of the book Benchmarking for Performance Evaluation by G.C. Layek
Cover of the book Biological Control of Insect Pests Using Egg Parasitoids by G.C. Layek
Cover of the book Risk Sharing, Risk Spreading and Efficient Regulation by G.C. Layek
Cover of the book Novel Combustion Concepts for Sustainable Energy Development by G.C. Layek
Cover of the book Fertility Control in a Risk Society by G.C. Layek
Cover of the book Maize: Nutrition Dynamics and Novel Uses by G.C. Layek
Cover of the book Financial Management Practices by G.C. Layek
Cover of the book Innovative Design, Analysis and Development Practices in Aerospace and Automotive Engineering by G.C. Layek
Cover of the book Soulful Corporations by G.C. Layek
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy