RHYTHMIC HOPPING IN A ONE-DIMENSIONAL CRISIS MAP

Authors
SEKO C TAKATSUKA K
Citation
C. Seko et K. Takatsuka, RHYTHMIC HOPPING IN A ONE-DIMENSIONAL CRISIS MAP, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(1), 1996, pp. 956-959
Citations number
37
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
54
Issue
1
Year of publication
1996
Pages
956 - 959
Database
ISI
SICI code
1063-651X(1996)54:1<956:RHIAOC>2.0.ZU;2-W
Abstract
It is shown that a time-evolving strange attractor formed by a dynamic al contact of two logistic maps, a special case of the so-called inter ior crisis, can generate rhythmic hopping with a chaotic fluctuation b etween two domain on which the individual logistic maps are defined. A variety of distributions of the hopping time have been obtained with different choices of an evolution parameter in the map. The physical m echanism and the conditions for the rhythmic hopping is discussed.