Access the full text.
Sign up today, get DeepDyve free for 14 days.
Андрей Колесов, Andrei Kolesov, Николай Розов, Nikolaĭ Rozov (2003)
Двухчастотные автоволновые процессы в комплексном уравнении Гинзбурга - Ландау@@@Two-Frequency Autowave Processes in the Complex Ginzburg - Landau Equation, 134
Differential Equations, Vol. 41, No. 1, 2005, pp. 41–49. Translated from Differentsial'nye Uravneniya, Vol. 41, No. 1, 2005, pp. 41–49. Original Russian Text Copyright c 2005 by Glyzin, Kolesov, Rozov. ORDINARY DIFFERENTIAL EQUATIONS Chaotic Bu ering Property in Chains of Coupled Oscillators S. D. Glyzin, A. Yu. Kolesov, and N. Kh. Rozov Yaroslavl State University, Yaroslavl, Russia Moscow State University, Moscow, Russia Received May 14, 2004 INTRODUCTION We speak of the bu ering phenomenon if, in some nonlinear evolution system, one obtains an arbitrary prescribed nite number of coexisting attractors (equilibria, cycles, tori, etc.) of the same type for an appropriate choice of parameter values. In the case of chaotic attractors, the corre- sponding phenomenon is referred to as chaotic bu ering. In the present paper, we suggest a general idea that can be used for constructing various chains of coupled oscillators with chaotic bu ering. As speci c examples, we consider chains of di usively coupled generalized cubic Schr odinger equa- tions and nonlinear telegraph equations. 1. STATEMENT OF THE PROBLEM It is known that chains and lattices of coupled oscillators with lumped parameters are useful, physically meaningful models that permit one to reveal a number of laws
Differential Equations – Springer Journals
Published: Apr 14, 2005
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.