UNSPECIFIED (1997) Analytic structure and chaotic dynamics of the damped driven Toda oscillator. PHYSICAL REVIEW E, 55 (4). pp. 3942-3947. ISSN 1063-651X

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Abstract

The singularity structure exhibited by the solution of the damped driven Toda oscillator in the complex time (t(-)) plane is investigated through Painleve (P-) analysis. We find that there exists a specific parametric choice for which the free but damped Toda oscillator possesses the P- property and hence is Likely to be integrable. We present the exact solution corresponding to this integrable choice. In the nonintegrable regime, we show that the singularities exhibit locally a complicated, clustered, two-armed infinite-sheered Riemann structure in the complex t(-) plane, Further, we have analyzed numerically the global singularity structure in the complex t(-) plane (i.e., analytic structure) corresponding to the real time chaotic dynamics exhibited by the system. From the investigations, we observe that the global singularity structure exhibits a "chimney like" pattern in which the width at the bottom of the chimney decreases and the singularities tend to cluster at the top of the chimney, in the complex t(-) plane corresponding to the real-time chaotic dynamics exhibited by the system, as the control parameter is varied.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Journal or Publication Title:	PHYSICAL REVIEW E
Publisher:	AMERICAN PHYSICAL SOC
ISSN:	1063-651X
Date:	April 1997
Volume:	55
Number:	4
Number of Pages:	6
Page Range:	pp. 3942-3947
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/17837

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