Bifurcation Phenomena In Mathematical Physics And Related Topics PDF Download
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Author | : C. Bardos |
Publisher | : Springer Science & Business Media |
Total Pages | : 591 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400990049 |
Download Bifurcation Phenomena in Mathematical Physics and Related Topics Book in PDF, ePub and Kindle
One of the main ideas in organizing the Summer Institute of Cargese on "Bifurcation Phenomena in Mathematical Physics and Related Topics" was to bring together Physicists and Mathematicians working on the properties arising from the non linearity of the phenomena and of the models that are used for their description. Among these properties the existence of bifurcations is one of the most interesting, and we had a general survey of the mathematical tools used in this field. This survey was done by M. Crandall and P. Rabinowitz and the notes enclosed in these proceedings were written by E. Buzano a]ld C. Canuto. Another mathematical approach, using Morse Theory was given by J. Smoller reporting on a joint work with C. Conley. An example of a direct application was given by M. Ghil. For physicists the theory of bifurcation is closely related to critical phenomena and this was explained in a series of talks given by J.P. Eckmann, G. Baker and M. Fisher. Some related ideas can be found in the talk given by T. T. Wu , on a joint work with Barry Mc Coy on quantum field theory. The description of these phenomena leads to the use of Pade approximants (it is explained for instance in the lectures of J. Nuttall) and then to some problems in drop hot moment problems. (cf. the lecture of D. Bessis).
Author | : Claude Bardos |
Publisher | : |
Total Pages | : 612 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9789400990050 |
Download Bifurcation Phenomena in Mathematical Physics and Related Topics Book in PDF, ePub and Kindle
Author | : C BARDOS (ED.) |
Publisher | : |
Total Pages | : |
Release | : 1980 |
Genre | : |
ISBN | : |
Download BIFURCATION PHENOMENA IN MATHEMATICAL PHYSICS AND RELATED TOPICS. Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 596 |
Release | : 1980 |
Genre | : |
ISBN | : |
Download Bifurcation Phenomena in Mathematical Physics and Related Topics Book in PDF, ePub and Kindle
Author | : Claude Bardos |
Publisher | : |
Total Pages | : 596 |
Release | : 1980 |
Genre | : |
ISBN | : |
Download Bifurcation Phenomena in Mathematical Physics and Related Topics Book in PDF, ePub and Kindle
Author | : C. Bardos |
Publisher | : |
Total Pages | : |
Release | : 1980 |
Genre | : |
ISBN | : |
Download Bifurcation phenomena in mathematical physics and related topics Book in PDF, ePub and Kindle
Author | : Grard Iooss |
Publisher | : World Scientific |
Total Pages | : 204 |
Release | : 1998 |
Genre | : Technology & Engineering |
ISBN | : 9789810237288 |
Download Topics in Bifurcation Theory and Applications Book in PDF, ePub and Kindle
This textbook presents the most efficient analytical techniques in the local bifurcation theory of vector fields. It is centered on the theory of normal forms and its applications, including interaction with symmetries. The first part of the book reviews the center manifold reduction and introduces normal forms (with complete proofs). Basic bifurcations are studied together with bifurcations in the presence of symmetries. Special attention is given to examples with reversible vector fields, including the physical example given by the water waves. In this second edition, many problems with detailed solutions are added at the end of the first part (some systems being in infinite dimensions). The second part deals with the Couette-Taylor hydrodynamical stability problem, between concentric rotating cylinders. The spatial structure of various steady or unsteady solutions results directly from the analysis of the reduced system on a center manifold. In this part we also study bifurcations (simple here) from group orbits of solutions in an elementary way (avoiding heavy algebra). The third part analyzes bifurcations from time periodic solutions of autonomous vector fields. A normal form theory is developed, covering all cases, and emphasizing a partial Floquet reduction theory, which is applicable in infinite dimensions. Studies of period doubling as well as Arnold's resonance tongues are included in this part.
Author | : Rüdiger U. Seydel |
Publisher | : Springer Science & Business Media |
Total Pages | : 493 |
Release | : 2009-11-27 |
Genre | : Mathematics |
ISBN | : 1441917403 |
Download Practical Bifurcation and Stability Analysis Book in PDF, ePub and Kindle
Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.
Author | : Yuri A. Kuznetsov |
Publisher | : Springer Nature |
Total Pages | : 722 |
Release | : 2023-04-18 |
Genre | : Mathematics |
ISBN | : 3031220072 |
Download Elements of Applied Bifurcation Theory Book in PDF, ePub and Kindle
Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.
Author | : Yuri Kuznetsov |
Publisher | : Springer |
Total Pages | : 634 |
Release | : 2013-05-04 |
Genre | : Mathematics |
ISBN | : 9781475739794 |
Download Elements of Applied Bifurcation Theory Book in PDF, ePub and Kindle
Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.