The dynamical properties of modified of Bogdanov map

الملخص EN

In the work, we study the general properties of modified of the Bogdanov map in the form Fa,m,k .

(X y) = (X + y y + ay + k cosx-kx + mxy) We prove it has sensitive dependence on initial conditions and positive Lyapunov exponent with some conditions.

So we give estimate of topological entropy of modified Bogdanov map.