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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 ...
Some remarks on bifurcation analysis of a nonlinear vibrating system excited by a shape memory alloy material (SMA)
(2011-10-01)
In this paper, the dynamical response of a coupled oscillator is investigated, taking in consideration the nonlinear behavior of a SMA spring coupling the two oscillators. Due to the nonlinear coupling terms, the system ...
Some remarks on bifurcation analysis of a nonlinear vibrating system excited by a shape memory alloy material (SMA)
(2011-10-01)
In this paper, the dynamical response of a coupled oscillator is investigated, taking in consideration the nonlinear behavior of a SMA spring coupling the two oscillators. Due to the nonlinear coupling terms, the system ...
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 ...
A gallery of oscillations in a resonant electric circuit: Hopf-Hopf and fold-flip interactions
(World Scientific, 2008-12)
In this work, the dynamics of a coupled electric circuit is studied. Several bifurcation diagrams associated with the truncated normal form of the Hopf-Hopf bifurcation are presented. The bifurcation curves are obtained ...
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, ...
Double Hopf bifurcation analysis using frequency domain methods
(Springer, 2005-02)
The dynamic behavior close to a non-resonant double Hopf bifurcation is analyzed via a frequency-domain technique. Approximate expressions of the periodic solutions are computed using the higher order harmonic balance ...
Characterization Of Dynamic Bifurcations In The Frequency Domain
(World Scientific, 2002-12)
In this paper dynamical systems with certain degenerate Hopf bifurcations are considered. An analysis of the bifurcation behavior is proposed using several tools from the frequency domain approach. The analyzed bifurcations ...
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 ...