Lots of Chaotic Behaviors of the Henon Map

  • Md. Shakhawat Alam Senior Lecturer in Mathematics Department of Basic Science World University of Bangladesh
  • Payer Ahmed Department of Mathematics Jagannath University, Dhaka-1100, Bangladesh

Abstract

In this paper we are concerned with a general form of the Henon map as a retarded functional equation. The existence of a unique solution is proved. The continuous dependence of the solution and the local stability of fixed points are investigated. Dynamics of periodic points, Chaos, bifurcation, and topological conjugacy of the resulting system are discussed in Matlab.

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Published
2016-12-31
How to Cite
Alam, M. S., & Ahmed, P. (2016). Lots of Chaotic Behaviors of the Henon Map. European Scientific Journal, ESJ, 12(36), 411. https://doi.org/10.19044/esj.2016.v12n36p411