Author:
Fedorenko A.D.,Fedorenko V.V.,Ivanov A.F.,Sharkovsky A.N.
Abstract
Difference equations with piecewise continuous nonlinearities and their singular perturbations, first order neutral type delay differential equations with small parameters, are considered. Solutions of the difference equations are shown to be asymptotically periodic with period-adding bifurcations and bifurcations determined by Farey's rule taking place for periods and types of solutions. Solutions of the singularly perturbed delay differential equations are considered and compared with solutions of the difference equations within finite time intervals. The comparison is based on a continuous dependence of solutions on the singular parameter.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. On the theory of the violin string;Witt;J. Tech. Phys.,1936
2. Coexistence of periodic orbits for a class of discontinuous maps;Sharkovsky;Proc. Nat. Acad. Sci.,1996
3. Oscillations in singularly perturbed delay equations;Ivanov;Dynam. Report.,1991
4. IDEAL TURBULENCE IN AN IDEALIZED TIME-DELAYED CHUA’S CIRCUIT
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献