Analytic structure and chaotic dynamics of the damped driven Toda oscillator
UNSPECIFIED. (1997) Analytic structure and chaotic dynamics of the damped driven Toda oscillator. PHYSICAL REVIEW E, 55 (4). pp. 3942-3947. ISSN 1063-651XFull text not available from this repository.
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|
|Number of Pages:||6|
|Page Range:||pp. 3942-3947|
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