limit cycles bifurcationnon-linear stabilitynumerical continuationRotors supported by journal bearings may become unstable due to self-excited vibrations when a critical rotor speed is exceeded. Linearised analysis is usually used to determine the stability boundaries. Non-linear bifurcation theory or ...
For planar piecewise smooth differential systems, there are concrete examples showing that under suitable perturbations of a generalized homoclinic loop one or two limit cycles can appear. But up to now there is no a general theory to study the cyclicity of a generalized homoclinic loop, that is...
doi:10.1007/s12346-011-0064-7Yusen WuSchool of Mathematics and StatisticsLuju LiuSchool of Mathematics and StatisticsQualitative Theory of Dynamical Systems
Feedback control of limit cycles: a switching control strategy based on nonsmooth bifurcation theory In this paper, we present a method to control limit cycles in smooth planar systems making use of the theory of nonsmooth bifurcations. By designing an app... F Angulo,MD Bernardo,E Fossas,.....
Clearly, the maximal number of limit cycles in the case (7) or (8) of Figure 2 is [(n − 1)/2] on Poincaré, Hopf and Homoclinic bifurcations up to first-order in ε, by using the first order Melnikov function.This paper focuses on studying the limit cycle bifurcations of system ...
Bifurcation Curves of Limit Cycles in Some Liénard Systems. Liénard systems of the form &χuml; + ∈f(x)χ + χ = 0, with f(χ) an even continuous function, are considered. The bifurcation curves of limit cycles ar... López-Ruiz,R.,López,... - 《International Journal of Bifurcat...
In this paper, we show how to analyze bifurcation and limit cycles for biological systems by using an algebraic approach based on triangular decomposition, Gröbner bases, discriminant varieties, real solution classification, and quantifier elimination
网络极限环分支 网络释义 1. 极限环分支 极限环分支,bifurcation of limit... ... )bifurcation of limit cycles极限环分支) bifurcation of limit cycle 极限环分支 ... www.dictall.com|基于 1 个网页 例句 释义: 全部,极限环分支
As we know, Hopf bifurcation is an important part of bifurcation theory of dynamical systems. Almost all known works are concerned with the bifurcation and number of limit cycles near a nondegenerate focus or center. In the present paper, we study a general near-Hamiltonian system on the plane...
Bifurcation Theory 1. Saddle-Node Bifurcation ? John J. Tyson, 2009 Suppose we want to study the solutions of a pair of nonlinear ODEs as a particular parameter, p, is varied: dx dy = f ( x, y; p ), = g ( x, y; p ) dt dt f ( x*, y*; p o ) = 0, g ( x*, y...