Semi-hyperbolic mappings and robustness of chaotic behaviour

الملخص EN

Dynamical systems generated by scmi-hypcrbolic mappings arc known to be exponentially expansive, [4].

It is also known that expansivity is one of the main features of “chaotic behaviour” of dynamical systems.

In this paper, we show that a small delay perturbation of an ordinary differential equation with a homoclinic trajectory' is ‘‘chaotic” in the sense of a recently proposed definition of chaos presented by Phil Diamond el.al.

in [6].