MULTIPLE-CHOICE BIFURCATIONS AS A SOURCE OF UNPREDICTABILITY IN DYNAMICAL-SYSTEMS

Citation
T. Kapitaniak et Y. Maistrenko, MULTIPLE-CHOICE BIFURCATIONS AS A SOURCE OF UNPREDICTABILITY IN DYNAMICAL-SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 5161-5163
Citations number
28
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
58
Issue
4
Year of publication
1998
Pages
5161 - 5163
Database
ISI
SICI code
1063-651X(1998)58:4<5161:MBAASO>2.0.ZU;2-7
Abstract
Most of the nonlinear systems are characterized by the coexistence of at least two attractors in some regions of the phase space. In this Br ief Report, we present an example of a system which exhibits types of bifurcations in which multiple-coexisting attractors are created or de stroyed simultaneously. The main feature of these bifurcations is that they lead to unpredictable behavior of trajectories when a system par ameter is slowly varied through the bifurcation point. [S1063-651X(98) 14010-2].