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Um estudo de bifurcações de codimensão dois de campos de vetores
(Universidade Estadual Paulista (UNESP), 2014)
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 ...
Defining universality classes for three different local bifurcations
(2016-10-01)
The convergence to the fixed point at a bifurcation and near it is characterized via scaling formalism for three different types of local bifurcations of fixed points in differential equations, namely: (i) saddle-node; ...
Detection of limit cycle bifurcations using harmonic balance methods
(World Scientific, 2004-12)
In this paper, bifurcations of limit cycles close to certain singularities of the vector fields are explored using an algorithm based on the harmonic balance method, the theory of nonlinear feedback systems and the monodromy ...
The homotopy analysis method in bifurcation analysis of delay differential equations
(World Scientific, 2012-05)
In this paper we apply the homotopy analysis method (HAM) to study the van der Pol equation with a linear delayed feedback. The paper focuses on the calculation of periodic solutions and associated bifurcations, Hopf, ...
ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS - THE FOLD-SADDLE SINGULARITY
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2012)
Bifurcations Leading to Nonlinear Oscillations in a 3D Piecewise Linear Memristor Oscillator
(World Scientific Publ Co Pte Ltd, 2014-01-01)
In this paper, we make a bifurcation analysis of a mathematical model for an electric circuit formed by the four fundamental electronic elements: one memristor, one capacitor, one inductor and one resistor. The considered ...
BIFURCATION OF THE ESSENTIAL DYNAMICS OF LORENZ MAPS ON THE REAL LINE AND THE BIFURCATION SCENARIO FOR LORENZ LIKE FLOWS: THE CONTRACTING CASE
(Universidad Católica del Norte, Departamento de Matemáticas, 2010)