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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 ...
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 ...
A Degenerate 2:3 Resonant Hopf-Hopf Bifurcation as Organizing Centre of the Dynamics: Numerical Semi-Global Results
(Siam Publications, 2015-07)
In this paper a degenerate case of a 2:3 resonant Hopf–Hopf bifurcation is studied. This codimensionfour bifurcation occurs when the frequencies of both Hopf bifurcation branches have the relation 2/3, and one of them ...
Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in R3: A case study in power electronics
(2017-05-15)
In this paper, Hopf and homoclinic bifurcations that occur in the sliding vector field of switching systems in R3 are studied. In particular, a dc–dc boost converter with sliding mode control and washout filter is analyzed. ...
Biparametric investigation of the general standard map: multistability and global bifurcations
(2018-07-01)
We investigate multistability and global bifurcations in the general standard map, a biparametric two-dimensional map. Departing from the conservative case of the map, we describe the evolution of periodic solutions and ...
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 ...
Subharmonic bifurcations near infinity
(2004-12-01)
In this paper are considered periodic perturbations, depending on two parameters, of planar polynomial vector fields having an annulus of large amplitude periodic orbits, which accumulate on a symmetric infinite heteroclinic ...
Generic bifurcations of low codimension of planar Filippov Systems
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2011)