Controlling of chaotic motion by chaos and noise signals in a logistic map and a Bonhoeffer--van der Pol oscillator

Journal Article · Sun Jan 01 04:00:00 UTC 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.51.775· OSTI ID:6702217

Rajasekar, S ^[1]

---

1. Department of Physics, Manonmaniam Sundaranar University, Tirunelveli 627 002, Tamilnadu (India)

The possibility of the conversion of a chaotic attractor to a strange but nonchaotic attractor is investigated numerically in both a discrete system, the logistic map, and in a continuous dynamical system, the Bonhoeffer--van der Pol oscillator. A suppression of the chaotic property, namely, the sensitive dependence on initial states, is found when an appropriate (i) chaotic signal and (ii) Gaussian white noise are added. A strange but nonchaotic attractor is shown to occur for some ranges of amplitude of the external perturbation. The controlled orbit is characterized by the Lyapunov exponent, correlation dimension, power spectrum, and return map.

• OSTI ID: 6702217
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 51:1; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATTRACTORS
ELECTRONIC EQUIPMENT
EQUIPMENT
GAUSSIAN PROCESSES
NOISE
OSCILLATORS
SCALING LAWS