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Limit cycles via higher order perturbations for some piecewise differential systems
(Elsevier B.V., 2018-05-15)
A classical perturbation problem is the polynomial perturbation of the harmonic oscillator, (x', y') = (-y + epsilon f(x, y, epsilon), x + epsilon g(x, y, epsilon)). In this paper we study the limit cycles that bifurcate ...
Birth of limit cycles from a 3D triangular center of a piecewise smooth vector field
(2017-01-01)
We consider a piecewise smooth vector field in R3, where the switching set is on an algebraic variety expressed as the zero of a Morse function.We depart from a model described by piecewise constant vector fields with a ...
On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones
(World Scientific Publ Co Pte Ltd, 2015)
On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane
(Siam Publications, 2014)
On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane
(Siam Publications, 2012-01-01)
This paper is concerned with the local bifurcation analysis around typical singularities of piecewise smooth planar dynamical systems. Three-parameter families of a class of nonsmooth vector fields are studied, and the ...
On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane
(Siam Publications, 2012-01-01)
This paper is concerned with the local bifurcation analysis around typical singularities of piecewise smooth planar dynamical systems. Three-parameter families of a class of nonsmooth vector fields are studied, and the ...
Hopf bifurcation in the full repressilator equations
(2014)
In this paper, we prove that the full repressilator equations in dimension six undergo a supercritical Hopf bifurcation.
Topological classification of limit cycles of piecewise smooth dynamical systems and its associated Non-Standard Bifurcations
(Multidisciplinary Digital Publishing Institute (MDPI), 2014-04-01)
In this paper, we propose a novel strategy for the synthesis and the classification of nonsmooth limit cycles and its bifurcations (named Non-Standard Bifurcations or Discontinuity Induced Bifurcations or DIBs) in n-dimensional ...
Influence of friction and asymmetric freeplay on the limit cycle oscillation in aeroelastic system: An extended Henon's technique to temporal integration
(Elsevier B.V., 2020-07-01)
Nonlinear effects such as friction and freeplay on the control surfaces can affect aeroelastic dynamics during flight. In particular, these nonlinearities can induce limit cycle oscillations (LCO), changing the system ...