DYNAMIC INTERACTION BETWEEN DISCONTINUITY AND NONINVERTIBILITY - AN ANALYTICAL STUDY

Authors
GUAN S WANG BH WANG DK HE DR
Citation
S. Guan et al., DYNAMIC INTERACTION BETWEEN DISCONTINUITY AND NONINVERTIBILITY - AN ANALYTICAL STUDY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(1), 1995, pp. 453-465
Citations number
44
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
52
Issue
1
Year of publication
1995
Part
A
Pages
453 - 465
Database
ISI
SICI code
1063-651X(1995)52:1<453:DIBDAN>2.0.ZU;2-Z
Abstract
A discontinuous and noninvertible circle map is introduced to describe modulated relaxation oscillators. The boundaries of the parameter reg ions are calculated where images of the jumping gap completely cover t he noninvertible region so that the dynamics of the system are abruptl y changed. We show that a kind of structure called a ''hole'' may appe ar due to the interaction between these two competing characteristics and may lead to some dynamic features. The influence of the holes on t he boundaries of Arnold tongues is also discussed.