INSTANT CHAOS AND HYSTERESIS IN COUPLED LINEAR-NONLINEAR OSCILLATORS

Authors
SCHWARTZ IB GEORGIOU IT
Citation
Ib. Schwartz et It. Georgiou, INSTANT CHAOS AND HYSTERESIS IN COUPLED LINEAR-NONLINEAR OSCILLATORS, Physics letters. A, 242(6), 1998, pp. 307-312
Citations number
20
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
242
Issue
6
Year of publication
1998
Pages
307 - 312
Database
ISI
SICI code
0375-9601(1998)242:6<307:ICAHIC>2.0.ZU;2-J
Abstract
A novel bifurcation to high-dimensional hyperchaos is observed in a dr iven coupled pendulum-flexible rod system. When the rod is in resonanc e with the pendulum, the system changes from a low-dimensional periodi c attractor to a high-dimensional chaotic attractor abruptly. The bifu rcation, which is hysteretic, is conjectured to stem from an unstable global invariant manifold of slow frequency motions. (C) 1998 Publishe d by Elsevier Science B.V.