Suppression of Smale horseshoe structure via secondary perturbations in pendulum systems |
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Authors: | K I Thomas G Ambika |
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Institution: | (1) Department of Physics, Maharaja’s College, 682 011 Cochin, India |
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Abstract: | We analyse the use of parametric and quasiperiodic modulations in suppressing horseshoe structure in the phase plane of perturbed
pendulum systems. Taking the Froude pendulum as a typical system, four different modulation mechanisms are studied by deriving
analytic expressions for the window of the strength of modulation giving suppression in each case. A comparison of the four
cases from the point of view of flexibility and efficiency is also given. |
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Keywords: | Smale horseshoe Melnikov criterion Froude pendulum parametric modulation quasiperiodic forcing control of chaos |
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