15 research outputs found
Identification of delays and discontinuity points of unknown systems by using synchronization of chaos
Full text linkIn this paper we present an approach in which synchronization of chaos is
used to address identification problems. In particular, we are able to
identify: (i) the discontinuity points of systems described by piecewise
dynamical equations and (ii) the delays of systems described by delay
differential equations. Delays and discontinuities are widespread features of
the dynamics of both natural and manmade systems. The foremost goal of the
paper is to present a general and flexible methodology that can be used in a
broad variety of identification problems.Comment: 11 pages, 3 figure
Birth of limit cycles for a class of continuous and discontinuous differential systems in ( d
No full textLimit cycle bifurcations of a piecewise smooth Hamiltonian system with a generalized heteroclinic loop through a cusp
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W-transform for exponential stability of second order delay differential equations without damping terms
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