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Path formulation for multiparameter D3-equivariant bifurcation problems
(2010-11-22)
We implement a singularity theory approach, the path formulation, to classify D3-equivariant bifurcation problems of corank 2, with one or two distinguished parameters, and their perturbations. The bifurcation diagrams are ...
Path formulation for multiparameter D3-equivariant bifurcation problems
(2010-11-22)
We implement a singularity theory approach, the path formulation, to classify D3-equivariant bifurcation problems of corank 2, with one or two distinguished parameters, and their perturbations. The bifurcation diagrams are ...
Existence of secondary bifurcations or isolas for PDEs
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
In this paper, we introduce a method to conclude about the existence of secondary bifurcations or isolas of steady state solutions for parameter dependent nonlinear partial differential equations. The technique combines ...
Transcritical and zero-Hopf bifurcations in the Genesio system
(2017-04-01)
In this paper we study the existence of transcritical and zero-Hopf bifurcations of the third-order ordinary differential equation x⃛ + ax¨ + bx˙ + cx- x2= 0 , called the Genesio equation, which has a unique quadratic ...
Zero-Hopf bifurcation in a Chua system
(2017-10-01)
A zero-Hopf equilibrium is an isolated equilibrium point whose eigenvalues are ±ωi≠0 and 0. In general for a such equilibrium there is no theory for knowing when it bifurcates some small-amplitude limit cycles moving the ...
Um estudo de bifurcações de codimensão dois de campos de vetores
(Universidade Estadual Paulista (Unesp), 2008-02-29)
Nesse trabalho são apresentados alguns resultados importantes sobre bifurcações de codimensão dois de campos de vetores. O resultado principal dessa dissertação e o teorema que d a o diagrama de bifurcação e os retratos ...
Bifurcation control: Theories, methods, and applications
(World Scientific, 2000-12)
Bifurcation control deals with modification of bifurcation characteristics of a parameterized nonlinear system by a designed control input. Typical bifurcation control objectives include delaying the onset of an inherent ...
Bifurcations and multistability in the extended Hindmarsh-Rose neuronal oscillator
(2016-04-01)
We report on the bifurcation analysis of an extended Hindmarsh-Rose (eHR) neuronal oscillator. We prove that Hopf bifurcation occurs in this system, when an appropriate chosen bifurcation parameter varies and reaches its ...
Um estudo de bifurcações de codimensão dois de campos de vetores
(Universidade Estadual Paulista (UNESP), 2014)