Global Bifurcation of Periodic Solutions with Symmetry is popular PDF and ePub book, written by Bernold Fiedler in 2006-11-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Global Bifurcation of Periodic Solutions with Symmetry can be Read Online from any device for your convenience.
Global Bifurcation of Periodic Solutions with Symmetry Book PDF Summary
This largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. Within a global approach, the emphasis is on periodic motions far from equilibrium. Mathematical methods include bifurcation theory, transversality theory, and generic approximations. A new homotopy invariant is designed to study the global interdependence of symmetric periodic motions. Besides mathematical techniques, the book contains 5 largely nontechnical chapters. The first three outline the main questions, results and methods. A detailed discussion pursues theoretical consequences and open problems. Results are illustrated by a variety of applications including coupled oscillators and rotating waves: these links to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering counterparts make the book directly accessible to a wider audience.
Detail Book of Global Bifurcation of Periodic Solutions with Symmetry PDF
- Author : Bernold Fiedler
- Release : 14 November 2006
- Publisher : Springer
- ISBN : 9783540391500
- Genre : Mathematics
- Total Page : 151 pages
- Language : English
- PDF File Size : 17,5 Mb
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