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- Title
LIMIT CYCLES FOR PIECEWISE SMOOTH PERTURBATIONS OF A CUBIC POLYNOMIAL DIFFERENTIAL CENTER.
- Authors
SHIMIN LI; TIREN HUANG
- Abstract
In this article, we study the planar cubic polynomial differential system ẋ = -yR(x,y) ẏ = xR(x,y) where R(x, y) = 0 is a conic and R(0, 0) ≠ 0. We find a bound for the number of limit cycles which bifurcate from the period annulus of the center, under piecewise smooth cubic polynomial perturbations. Our results show that the piecewise smooth cubic system can have at least 1 more limit cycle than the smooth one.
- Subjects
PIECEWISE affine systems; AFFINE geometry; LIMIT cycles; DIFFERENTIABLE dynamical systems; MANIFOLDS (Mathematics)
- Publication
Electronic Journal of Differential Equations, 2015, Vol 2015, p1
- ISSN
1550-6150
- Publication type
Article