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Introducing the analysis of bifurcation in dynamical systems by symbolic computation
(Manchester Univ PressManchesterInglaterra, 2007)
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 ...
Integration-Free analysis of nonsmooth local dynamics in planar filippov systems
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2009-03-01)
In this paper, we present a novel method to analyze the behavior of discontinuous piecewise-smooth autonomous systems (denominated Filippov systems) in the planar neighborhood of the discontinuity boundary (DB). The method ...
Characterization of static bifurcations in the frequency domain
(World Scientific, 2001-12)
In this paper two-dimensional systems with static bifurcations are considered. An analysis of the bifurcation behavior is proposed using a frequency domain approach. The analyzed bifurcations are known as elementary since ...
Bifurcation theory applied to the analysis of power systems
(Unión Matemática Argentina, 2008-12)
In this paper, several nonlinear phenomena found in the study of power system networks are described in the context of bifurcation theory. Toward this end, a widely studied 3-bus power system model is considered. The ...
Numerical semi-global analysis of a 1:2 resonant Hopf-Hopf bifurcation
(Elsevier Science, 2013-03)
In this paper, a numerical semi-global analysis of the dynamics near a 1:2 resonant Hopf-Hopf bifurcation on a four-dimensional mathematical model of a simple nonlinear oscillator is performed. The 1:2 resonant Hopf-Hopf ...
Global bifurcation for fractional p-Laplacian and an application
(Heldermann Verlag, 2016-04)
We prove the existence of an unbounded branch of solutions to the nonlinear non-local equation (Equation presented) bifurcating from the first eigenvalue. Here (-Δ)s p denotes the fractional p-Laplacian and Ω ⊂ ℝ1 is a ...
Characterization of grazing bifurcation in airfoils with control surface freeplay nonlinearity
(European Assoc Structural Dynamics, 2014-01-01)
A variety of nonlinear features is obtained from aeroelastic systems with discontinuous nonlinearity motivates investigations that may support future applications in controls design, flutter prediction problems, and energy ...