In this chapter we study a bifurcation characterized by a zero eigenvalue and a pair of nonzero purely imaginary eigenvalues of the linearization transverse to a plane of equilibria. It turns out that instead we can study a one-parameter family of lines in a system depending on one parameter...
ZERO-HOPF BIFURCATION IN INDIRECT FIELD ORIENTED CONTROL OF INDUCTION MOTORS Aracil. Zero-Hopf Bifurcation in Indirect Field Oriented Control of Induction Motors, First IFAC Conference on Analysis and Control of Chaotic Systems: CHAOS... R Reginatto,F Salas,F Gordillo,... - 《Ifac Proceedings ...
本文主要研究CSTR(连续搅拌反应釜)模型和FHN(FitzHugh-Nagumo)模型这两种非线性模型的动力学行为.我们分析了这些系统的Zero-Hopf分支,并且采用了中心流形法和规范型法对系统进行化简.对于CSTR模型的分支研究,我们首先根据Zero-Hopf分支理论分析得出Zero-Hopf分支存在的条件,其次,通过中心流形理论和规范型方法计算得到Zero-...
Sadri, Bifurcation control and universal unfolding for Hopf-zero singu- larities with leading solenoidal terms, ArXiv preprint arXiv:1412.5399 (2015).Gazor, M., Sadri, N.: Bifurcation control and universal unfolding for Hopf-zero singularities with leading solenoidal terms. SIAM J. Appl. Dyn. ...
A paradigmatic system to study the transition from zero/Hopf to double-zero/Hopf bifurcation A two-d.o.f.system experiencing codimension-three double-zero/Hopf bifurcation is considered. This is a special bifurcation which simultaneously involves a... A Luongo,D Zulli - 《Nonlinear Dynamics》 被...
Turing-Hopf bifurcation and spatiotemporal patterns in a diffusive predator-prey system with Crowley-Martin functional response temporal and spatiotemporal patterns, like transient spatially inhomogeneous periodic solutions, as well as tristable phenomena of a pair of spatially inhomogeneo... XJW Cao -...
Normal forms for Hopf-Zero singularities with nonconservative nonlinear part 2013, Journal of Differential Equations Show abstract A sufficient condition for the uniqueness of normal forms and unique normal forms of generalized Hopf singularities 2004, International Journal of Bifurcation and Chaos in Appli...
4) Hopf-zero bifurcation Hopf-zero分支 5) Zero- gap zero- 带隙 6) limit [英]['lɪmɪt] [美]['lɪmɪt] 极限 1. A Discussion on Blow Performance Limit of Clutch Screw Presses; 离合器式螺旋压力机极限打击性能的讨论 2. The Frmula Judging Method of Edge-turning Limit ...
In this paper we investigate a particular case of a zero-Hopf bifurcation of a four dimensional analytic differential system. We prove that at most five periodic orbits bifurcate from the zero-Hopf equilibrium using the averaging theory of first order and give a specific example to illustrate thi...
Plot of Bifurcation diagram showing the chaotic region for \(\alpha \) parameter Full size image 3.2.4 Discussion To convert Schnorr’s Identification Protocol (Protocol 1, please see Appendix) into a non-interactive zero knowledge proof, a hash function is required, to act as a random oracle...