Download E-books Global Bifurcation of Periodic Solutions with Symmetry (Lecture Notes in Mathematics) PDF

Posted by

This principally self-contained learn monograph addresses the next kind of questions. feel one encounters a continual time dynamical process with a few integrated symmetry. may still one count on periodic motions which by some means replicate this symmetry? and the way might periodicity harmonize with symmetry? Probing into those questions leads from dynamics to topology, algebra, singularity idea, and to many purposes. inside a world procedure, the emphasis is on periodic motions faraway from equilibrium. Mathematical tools contain bifurcation concept, transversality conception, and standard approximations. a brand new homotopy invariant is designed to check the worldwide interdependence of symmetric periodic motions. along with mathematical strategies, the ebook includes five mostly nontechnical chapters. the 1st 3 define the most questions, effects and strategies. an in depth dialogue pursues theoretical effects and open difficulties. effects are illustrated via numerous purposes together with coupled oscillators and rotating waves: those hyperlinks to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering opposite numbers make the publication at once available to a much broader viewers.

Show description

Read or Download Global Bifurcation of Periodic Solutions with Symmetry (Lecture Notes in Mathematics) PDF

Similar Mathematical Physics books

Introduction to Applied Nonlinear Dynamical Systems and Chaos (Texts in Applied Mathematics)

This creation to utilized nonlinear dynamics and chaos locations emphasis on instructing the thoughts and ideas that would allow scholars to take particular dynamical structures and acquire a few quantitative information regarding their habit. the hot variation has been up-to-date and prolonged all through, and incorporates a specified word list of phrases.

Kalman Filtering: With Real-Time Applications

"Kalman Filtering with Real-Time functions" provides a radical dialogue of the mathematical idea and computational schemes of Kalman filtering. The filtering algorithms are derived through diverse methods, together with a right away strategy inclusive of a chain of simple steps, and an oblique process in keeping with innovation projection.

Normal Forms and Unfoldings for Local Dynamical Systems (Springer Monographs in Mathematics)

This is often the main thorough remedy of ordinary kinds at the moment latest in booklet shape. there's a tremendous hole among user-friendly remedies in textbooks and complex study papers on general kinds. This ebook develops the entire valuable thought 'from scratch' in precisely the shape that's wanted for the applying to general varieties, with as little pointless terminology as attainable.

Extra resources for Global Bifurcation of Periodic Solutions with Symmetry (Lecture Notes in Mathematics)

Show sample text content

Rated 4.40 of 5 – based on 42 votes