JISE

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Journal of Information Science and Engineering, Vol. 36 No. 6, pp. 1211-1221

Poincaré Section for Hide Coupled Dynamo Model

EBTEHAL ALMOHAIMEED AND ALI ALLAHEM
Department of Mathematics
College of Sciences
Qassim University
Buraydah, 52571 Saudi Arabia
E-mail: aallahem@qu.edu.sa

Poincaré surface of section is an important tool in the dynamical system which allow us to imagine and understand the numerical solution behavior of the system. Hide's couple dynamo model is rich and worth to study. In this paper, we apply the Poincaré surface of section in three cases periodic orbit motion, regular motion and chaos motion.

Keywords: dynamo model, dynamical system, Poincaré map, stability, chaotic, regular motion

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