The limit cycles in a generalized Rayleigh-Li\'enard oscillator
L Gavrilov, ID Iliev - arXiv preprint arXiv:2203.02829, 2022 - arxiv.org
We compute the cyclicity of open period annuli of the following generalized Rayleigh-
Li\'enard equation $$\ddot {x}+ ax+ bx^ 3-(\lambda_1+\lambda_2 x^ 2+\lambda_3\dot {x} …
Li\'enard equation $$\ddot {x}+ ax+ bx^ 3-(\lambda_1+\lambda_2 x^ 2+\lambda_3\dot {x} …
Complex bursting dynamics in a Rayleigh–Liénard oscillator
H Wang, Y Qian - Nonlinear Dynamics, 2024 - Springer
In this paper, the intricate bursting oscillations in a Rayleigh–Liénard oscillator induced by
parametric and external slow-varying excitations are proposed. By treating the slow-varying …
parametric and external slow-varying excitations are proposed. By treating the slow-varying …
A modified generalized harmonic function perturbation method and its application in analyzing generalized Duffing–Harmonic–Rayleigh–Liénard oscillator
Z Li, J Cai, L Hou - International Journal of Non-Linear Mechanics, 2024 - Elsevier
A modified generalized harmonic function perturbation method is proposed in this paper.
Compared with the classical version of this method, the modified version can execute its …
Compared with the classical version of this method, the modified version can execute its …
A modified perturbation method for global dynamic analysis of generalized mixed Rayleigh–Liénard oscillator with cubic and quintic nonlinearities
Z Li, L Hou, Y Zhang, F Xu - Physica Scripta, 2024 - iopscience.iop.org
Deriving analytical relationship between the system parameters and amplitude of the limit
cycle is a meaningful and challenging task. Currently, numerous existing analytical …
cycle is a meaningful and challenging task. Currently, numerous existing analytical …
Bi-center conditions and bifurcation of limit cycles in a class of -equivariant cubic switching systems with two nilpotent points
T Chen, F Li, Y Tian, P Yu - arXiv preprint arXiv:2403.05744, 2024 - arxiv.org
In this paper, we generalize the Poincar\'e-Lyapunov method for systems with linear type
centers to study nilpotent centers in switching polynomial systems and use it to investigate …
centers to study nilpotent centers in switching polynomial systems and use it to investigate …
[PDF][PDF] Bounding periodic orbits in second order systems
AG García - WSEAS Transactions on Systems and Control, 2022 - wseas.com
This paper provides an upper bound for the number of periodic orbits in planar systems. The
research results in,[7], and,[8], allows one to produce a bound on the number of periodic …
research results in,[7], and,[8], allows one to produce a bound on the number of periodic …