In this paper, a system of coupled oscillators with delays is investigated. Some sufficient conditions to guarantee the existence of oscillations for the model are obtained. Examples are provided to demonstrate the proposed results.
In this paper, an epidemic SIS model with nonlinear infectivity on heterogeneous networks and time delays is investigated. The oscillatory behavior of the solutions is studied. Two sufficient conditions are provided to guarantee the oscillatory behavior for the solutions. Some computer simulations are demonstrated.
In this paper, a class of n coupled van der Pol oscillator model with delays is considered. By employing an analysis approach, some sufficient conditions to guarantee the existence of stability and oscillations for the model are obtained.Examples are provided to demonstrate the results.
ABSTRACT. We give a complete solution of the following two problems:(1) For which (n, x) does there exist a pair of hexagon triple systems of order n having x inside triples in common? (2) For which (n, x) does there exist a pair of hexagon triple systems having x outside triples in common?
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