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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 ...
Slow–fast systems and sliding on codimension 2 switching manifolds
(2019-01-01)
In this work, we consider piecewise smooth vector fields X defined in R n \ ∑, where Σ is a self-intersecting switching manifold. A double regularization of X is a 2-parameter family of smooth vector fields X ε.η , ε,η > ...
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 ...
Bifurcation effects on the plasma edge of tokamaks with ergodic limiter.
(European Physical SocietyEspoo, 2013-07-01)
In the present paper, we solve a twist symplectic map for the action of an ergodic magnetic limiter in a large aspect-ratio tokamak. In this model, we study the bifurcation scenarios that occur in the remnants regular ...
Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder
(2016-06-01)
Detect the birth of limit cycles in non-smooth vector fields is a very important matter into the recent theory of dynamical systems and applied sciences. The goal of this paper is to study the bifurcation of limit cycles ...
Limit Cycles Bifurcating from an Invisible Fold–Fold in Planar Piecewise Hamiltonian Systems
(2020-01-01)
The aim of this article is twofold. Firstly, we study the existence of limit cycles in a family of piecewise smooth vector fields corresponding to an unfolding of an invisible fold–fold singularity. More precisely, given ...
Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations
(Belgian Mathematical Soc Triomphe, 2011-01-01)
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...
Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations
(Belgian Mathematical Soc Triomphe, 2011-01-01)
In this paper we deal with non-smooth vector fields on the plane. We prove that the analysis of their local behavior around certain typical singularities can be treated via singular perturbation theory. In fact, after a ...