A new chaotic behavior of a general model of the Henon map

作者：El Sayed Ahmed M A^*; El Raheem Zaki F E; Salman Sanaa M

来源：Advances in Difference Equations, 2014, 2014(1): 107.

DOI：10.1186/1687-1847-2014-107

• retarded functional equation
• Henon map
• fixed points
• existence
• uniqueness
• bifurcation
• chaos
• chaotic attractor

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. Chaos, bifurcation and chaotic attractor of the resulting system are discussed. In addition, we compare our results with the discrete dynamical system of the Henon map.

• 出版日期2014-4-8