ON SOME SPECIAL FEATURES OF THE HENON MAPPING
Dr. Kulkarni Pramod Ramakant
Assistant Professor, NES Science College, Nanded, Maharashtra, India
Abstract
In this paper we have studied Henon map as a two dimensional discrete non-linear dynamical system. We have studied some special features of the Henon mapping. We have obtained the fixed points as we as the periodic orbits of the Henon map and obtained some results regarding their stability. Also, we have obtained the graphs of the iterates for different initial conditions and shown the presence of the chaotic attractor for different parameter values.
Keywords: Dynamical system, Henon map, fixed points, periodic orbits, strange attractor, chaos
Journal Name :
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EPRA International Journal of Multidisciplinary Research (IJMR)
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Published on : 2021-10-20
Vol | : | 7 |
Issue | : | 10 |
Month | : | October |
Year | : | 2021 |