One-dimensional and two-dimensional dynamics of cubic maps

Djellit Ilhem and Kara Amel

Discrete Dynamics in Nature and Society, 2006, vol. 2006, 1-13

Abstract:

We concentrate on the dynamics of one-dimensional and two-dimensional cubic maps, it describes how complex behaviors can possibly arise as a system parameter changes. This is a large class of diffeomorphisms which provide a good starting point for understanding polynomial diffeomorphisms with constant Jacobian and equivalent to a composition of generalized Hénon maps. Due to the theoretical and practical difficulties involved in the study, computers will presumably play a role in such efforts.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:015840

DOI: 10.1155/DDNS/2006/15840

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