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Periodic Solutions Of Discontinuous Second Order Differential Systems
(Worldwide Center of Mathematics, 2014)
Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems
(Springer, 2014-04-01)
We study the maximum number of limit cycles that bifurcate from the periodic solutions of the family of isochronous cubic polynomial centers(x) over dot = y(-1 + 2 alpha x + 2 beta x(2)), (y) over dot = x + alpha(y(2) - ...
Lyapunov stability for discontinuous systems
(Universidade Federal de Santa Maria, 2020)
Discontinuous local semiflows for Kurzweil equations leading to LaSalle`s invariance principle for differential systems with impulses at variable times
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
In this paper, we consider an initial value problem for a class of generalized ODEs, also known as Kurzweil equations, and we prove the existence of a local semidynamical system there. Under certain perturbation conditions, ...
Averaging Theory For Discontinuous Piecewise Differential Systems
(ACADEMIC PRESS INC ELSEVIER SCIENCESAN DIEGO, 2015)
Sliding Vector Fields via Slow-Fast Systems
(Belgian Mathematical Soc Triomphe, 2008-01-01)
This paper concerns differential equation systems on R(n) with discontinuous right-hand sides. We deal with non-smooth vector fields in R(n) having a codimension-one submanifold M as its discontinuity set. After a ...
Sliding Vector Fields via Slow-Fast Systems
(Belgian Mathematical Soc Triomphe, 2008-01-01)
This paper concerns differential equation systems on R(n) with discontinuous right-hand sides. We deal with non-smooth vector fields in R(n) having a codimension-one submanifold M as its discontinuity set. After a ...
Sliding vector fields via slow-fast systems
(2008-01-01)
This paper concerns differential equation systems on ℝn with discontinuous right-hand sides. We deal with non-smooth vector fields in ℝ having a codimension-one submanifold M as its discontinuity set. After a regularization ...