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الخواص الدينمية لتطبيق هينون المطور == The Dynamical Properties of Modified Henon Map
Author name:
حسين علاوي جاسم المسعودي
Supervisor name:
سماح عبد الهادي الهاشمي
General topic:
Mathematics
Specific topic:
Mathematics
Degree:
Higher Diploma
University:
University of Babylon - College Of Education For Pure Sciences - Department Of Mathematics
Language:
English
University location:
Babylon
First pages:
27T1132 - p.pdf
Abstract:
In this work , we construct a new map in two dimensions which is called the Modified Henon map that is denoted by MH_(a,b) (■(x@y)) =(■(1+ax+cos2πy@by)) has been presented .The dynamics of the MH_(a,b) is introduced. The MH_(a,b) has sensitive dependence on initial conditions and a positive Lypunove exponent (in some conditions ). The attractor of the Modified Henon Map and the Lyapunov dimension as fractal number are determined. The MH_(a,b) has a chaotic strange attractor and a positive topological entropy. The sensitive , Lyapunove exponent and strange att