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Analytic structure and chaotic dynamics of the damped driven Toda oscillator
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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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICAL REVIEW E | ||||
Publisher: | AMERICAN PHYSICAL SOC | ||||
ISSN: | 1063-651X | ||||
Official Date: | April 1997 | ||||
Dates: |
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Volume: | 55 | ||||
Number: | 4 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 3942-3947 | ||||
Publication Status: | Published |
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