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Attractor's capture probability in nonlinear argumental oscillators

Abstract : The behavior of a space-modulated, so-called 'argumental' Duffing oscillator, is studied. Starting from a known analytic implicit solution to the equations of motion, and using a Van der Pol representation in the (amplitude, phase)-space, the shape and distribution of the attractors' upstream basins are discussed, and various capture probabilities by the at- tractors are assessed under symbolic form. The expressions obtained can help in the design of structures in mechanical engineering, where most often the argumental phenomenon is to be avoided.
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Submitted on : Monday, February 5, 2018 - 3:58:51 PM
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Daniel Cintra, Pierre Argoul. Attractor's capture probability in nonlinear argumental oscillators. Communications in Nonlinear Science and Numerical Simulation, Elsevier, 2017, 48, pp. 150-169. ⟨10.1016/j.cnsns.2016.12.023⟩. ⟨hal-01701139⟩



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