Artículo
Numerical and Theoretical Studies on the Rational Standard Map at Moderate-to-Large Values of the Amplitude Parameter
Fecha de publicación:
06/2023
Editorial:
Springer
Revista:
Regular And Chaotic Dynamics
ISSN:
1560-3547
e-ISSN:
1468-4845
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this work an exhaustive numerical and analytical investigation of the dynamicsof a bi-parametric symplectic map, the so-called rational standard map, at moderate-to-largevalues of the amplitude parameter is addressed. After reviewing the model, a discussionconcerning an analytical determination of the maximum Lyapunov exponent is providedtogether with thorough numerical experiments. The theoretical results are obtained in thelimit of a nearly uniform distribution of the phase values. Correlations among phases lead todepartures from the expected estimates. In this direction, a detailed study of the role of stableperiodic islands of periods 1, 2 and 4 is included. Finally, an experimental relationship betweenthe Lyapunov and instability times is shown, while an analytical one applies when correlationsare irrelevant, which is the case, in general, for large values of the amplitude parameter.
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Articulos(IALP)
Articulos de INST.DE ASTROFISICA LA PLATA
Articulos de INST.DE ASTROFISICA LA PLATA
Citación
Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Simó, C.; Numerical and Theoretical Studies on the Rational Standard Map at Moderate-to-Large Values of the Amplitude Parameter; Springer; Regular And Chaotic Dynamics; 28; 3; 6-2023; 265-294
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