1 option
An Introduction to Dynamical Systems and Chaos [electronic resource] / by G.C. Layek.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Layek, G.C., Author.
- Language:
- English
- Subjects (All):
- Dynamics.
- Ergodic theory.
- Dynamical Systems and Ergodic Theory.
- Local Subjects:
- Dynamical Systems and Ergodic Theory.
- Physical Description:
- 1 online resource (XVIII, 622 p. 222 illus. in color.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- New Delhi : Springer India : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Continuous Dynamical Systems
- Linear Systems
- Phase Plane Analysis
- Stability Theory
- Oscillations
- Theory of Bifurcations
- Hamiltonian Systems
- Symmetry Analysis
- Discrete Dynamical Systems
- Some Maps
- Conjugacy of Maps
- Chaos
- Fractals.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 81-322-2556-2
- OCLC:
- 932003229
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.