Onset of resonance in chaotically driven systems

Citation
R. Konnur et al., Onset of resonance in chaotically driven systems, APPL MATH L, 13(8), 2000, pp. 69-75
Citations number
23
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
13
Issue
8
Year of publication
2000
Pages
69 - 75
Database
ISI
SICI code
0893-9659(200011)13:8<69:OORICD>2.0.ZU;2-0
Abstract
We investigate the onset of chaotic resonance (CR) behavior by studying the dynamics of chaotically driven bistable systems near the crisis bifurcatio n point. Our analysis reveals the existence and identification of a charact eristic natural frequency associated with the dynamics of the system confir ming that classical resonance is responsible for CR. We also classify the d ifferent routes via which CR can originate. The ability to manipulate the r oute to CR can be of importance in developing technological applications. ( C) 2000 Elsevier Science Ltd. All rights reserved.