Series: Interdisciplinary Applied Mathematics, Vol. 5
Seydel, Rüdiger
Originally published by Elsevier Science Publishing Company, New York, 1988
3rd ed. 2010, XV, 477p. 200 illus..
Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.
You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.
After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.
(net)
price for USA
ISBN 978-1-4419-1740-9
digitally watermarked, no DRM
Included Format: PDF
download immediately after purchase
Hardcover version
You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.
Standard shipping is free of charge for individual customers.
(net)
price for USA
ISBN 978-1-4419-1739-3
free shipping for individuals worldwide
usually dispatched within 3 to 5 business days
Softcover (also known as softback) version.
You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.
Standard shipping is free of charge for individual customers.
(net)
price for USA
ISBN 978-1-4614-2530-4
free shipping for individuals worldwide
usually dispatched within 3 to 5 business days
This book covers the central role that bifurcations play in nonlinear phenomena, explaining mechanisms of how stability is gained or lost. It emphasizes practical and computational methods for analyzing dynamical systems. A wide range of phenomena between equilibrium and chaos is explained and illustrated by examples from science and engineering. The book is a practical guide for performing parameter studies and includes exercises.
Combining an introduction on the textbook level with an exposition of computational methods, this book addresses the mathematical needs of scientists and engineers. It should be of interest to those in a wide variety of disciplines, including physics, mechanical engineering, electrical engineering, chemistry and chemical engineering, biology, and medicine. Both graduate students (in courses on dynamical systems, stability analysis, differential equations, and chaos) and professionals will be able to use the book equally well. The introduction avoids mathematical formalism, and the only required background is calculus.
In the third edition there is a chapter on applications and extensions of standard ODE approaches, for example, to delay equations, to differential-algebraic equations, and to reaction-diffusion problems. Additional material is inserted, including the topics deterministic risk, pattern formation, and control of chaos, and many further references.
Review of Earlier Edition:
"The outcome is impressive. The book is beautifully written in a style that seeks not only to develop the subject matter but also to expose the thought processes behind the mathematics." Proceedings of the Edinburgh Mathematical Society
Content Level » Research
Keywords » Algebra - Applied Bifurcation Analysis - Equilibrium and Chaos - Numerical Algorithms - Numerical bifurcation methods - Periodic Solutions - Practical Bifurcation - Stability Analysis - Test Functions - algorithms - calculus - chaos - ordinary differential equation
Related subjects » Computational Intelligence and Complexity - Computational Science & Engineering - Dynamical Systems & Differential Equations - Theoretical, Mathematical & Computational Physics
Get alerted on new Springer publications in the subject area of Dynamical Systems and Ergodic Theory.