Generalizations of the Van der Pol system with polynomial interactions involving additional parameters are studied in order to understand qualitative properties such as stability and additional bifurcations in these generalized Van der Pol systems. The generalizations include the one known as the Duffing-...
Study the bifurcations and stabilities in Van der Pol equation with the change of its parameters. This can be applied to self-sustained oscillators in nature. 点赞(0) 踩踩(0) 反馈 所需:1 积分 电信网络下载 AOP仿写 2025-02-21 07:28:24 积分:1 ...
van der Pol oscillatortwodegreesoffreedom systemsinfiniteperiod bifurcationThe response of a system of two nonlinearly coupled van der Pol oscillators to a ... A Maccari - 《Nonlinear Dynamics》 被引量: 32发表: 2002年 Limiting Phase Trajectories and Resonance Energy Transfer in a System of Two ...
S. Rajasekar. Dynamical structure functions at critical bifurcations in a Bonhoeffer-van der Pol equation. Chaos, Solitons and Fractals 7 (11) (1996), 1799-1805.S. Rajasekar. Dynamical structure functions at critical bifurcations in a Bonhoeffer-van der Pol equation. Chaos Solitons Fractals 7,...
We show that this map plays the same significant role as the averaged equations in the theory of the periodically forced van der Pol oscillator.doi:10.1016/0375-9601(92)90559-5Andrey B. BelogortsevPhysics Letters ABelogortsev A B 1992 Analytical approach to the torus bifurcation in quasi...
Some of the proposals are rather similar to the classical line of nonlinear cochlea models whereas others start with assumptions that put them in a different class. It can be shown that the Hopf-bifurcation and the Van der Pol oscillator belong to the same class of nonlinear models. ...
Carles SimóNorth-Holland Mathematics StudiesR. H. Abraham and C. Simo. Bifurcations and chaos in forced van der Pol systems. Research Report, Univ. of California, 1986. Y. Aizawa and T. Uezu. Topological aspects in chaos and in 2k-period doubling cascade. Prog. Theor. Phys. Lett., 67...
The stochastic bifurcations in a vibro-impact Duffing–Van der Pol oscillator, subjected to white noise excitations, are investigated. Bifurcations in noisy systems occur either due to topological changes in the phase space—known as D-bifurcations—or due to topological changes associated with the ...
Osinga, Investigating torus bifurcations in the forced Van der Pol oscillator, in: E.J. Doedel, L.S. Tuckerman (Eds.), Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, IMA Volumes in Mathematics and its Applications, vol. 119, Springer, Berlin, 2000, pp. 199-...
In this paper, stochastic P-bifurcations in tri-stable Duffing鈥揤an der Pol oscillator induced by additive recycling noise are investigated. Firstly, the stationary probability density function is derived using stochastic averaging method. Then, the general expression of the critical parameter conditions...