Chaotic solution of the rf-driven Josephson system with quadratic damping

Authors
Hai, WH Zhang, XL Huang, WL Chong, GS
Citation
Wh. Hai et al., Chaotic solution of the rf-driven Josephson system with quadratic damping, INT J B CH, 11(8), 2001, pp. 2263-2269
Citations number
18
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
11
Issue
8
Year of publication
2001
Pages
2263 - 2269
Database
ISI
SICI code
0218-1274(200108)11:8<2263:CSOTRJ>2.0.ZU;2-V
Abstract
The method of direct perturbation is applied to a rf-driven Josephson junct ion with strong and quadratic damping resistor. Perturbed correction to the heteroclinic orbit is constructed and its boundedness conditions are estab lished to contain the Melnikov criterion for the onset of chaos. The result shows that the corrected heteroclinic orbit is unbounded, unless it is cha otic. The analytically deterministic chaotic solution exposes the incomputa bility of chaotic orbits, which is numerically demonstrated.