Chaos for Discrete Dynamical System

الملخص EN

We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence.

Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke.

We also prove that a dynamical system is distributively chaotic in a sequence, when it is chaotic in the strong sense of Li-Yorke.