UNSPECIFIED. (1994) BUBBLING OF ATTRACTORS AND SYNCHRONIZATION OF CHAOTIC OSCILLATORS. PHYSICS LETTERS A, 193 (2). pp. 126-139. ISSN 0375-9601

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Abstract

We present a system of two coupled identical chaotic electronic circuits that exhibit a blowout bifurcation resulting in loss of stability of the synchronised state. We introduce the concept of bubbling of an attractor, a new type of intermittency that is triggered by low levels of noise, and demonstrate numerical and experimental examples of this behaviour. In particular we observe bubbling near the synchronised state of two coupled chaotic oscillators. We give a theoretical description of the behaviour associated with locally riddled basins, emphasising the role of invariant measures. In general these are non-unique for a given chaotic attractor, which gives rise to a spectrum of Lyapunov exponents. The behaviour of the attractor depends on the whole spectrum. In particular, bubbling is associated with the loss of stability of an attractor in a dynamically invariant subspace, and is typical in such systems.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Journal or Publication Title:	PHYSICS LETTERS A
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0375-9601
Date:	26 September 1994
Volume:	193
Number:	2
Number of Pages:	14
Page Range:	pp. 126-139
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/20324

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