In the current study, we examine the influence of damping on some properties related to the limit cycle. The model of damping presented in the power form ...
Oct 22, 2024 · The amplitude of the limit cycle is obtained by applying the generalized Krylov–Bogoliubov method for purely nonlinear oscillators. The ...
This paper aims to examine the nonlinear dynamics of a van der Pol-Mathieu-Duffing oscillator under the effect of fast harmonic excitation. The governing ...
A generalized van der Pol type oscillator: Investigation of the properties of its limit cycle · I. Kovacic, R. Mickens · Published in Mathematical and computer… 1 ...
Jul 31, 2021 · A generalized van der Pol type oscillator: Investigation of the properties of its limit cycle. Math. Comput. Model. 55(3-4): 645-653 (2012).
The limit cycle of a generalized van der Pol equation of the form ü + u = ε(1 − u2n)u is investigated, where ε is small and n is any positive integer.
Nov 21, 2024 · A generalized van der Pol type oscillator: Investigation of the properties of its limit cycle. Article. Feb 2012; MATH COMPUT MODEL.
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Jan 30, 2018 · We have applied the Lindstedt-Poincaré method to study the limit cycle of the van der Pol oscillator, obtaining the numerical coefficients ...
The limit cycle begins as a circle and, with varying μ, becomes increasingly sharp. An example of a relaxation oscillator.
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Feb 10, 2021 · The authors explore the classical to quantum transition of a family of dynamical limit cycles, while identifying quantum features.