Classification of three-dimensional quadratic diffeomorphisms with constant Jacobian

Abstract

The 3-D quadratic diffeomorphism is defined as a map with a constant Jacobian. A few such examples are well known. In this paper, all possible forms of the 3-D quadratic diffeomorphisms are determined. Some numerical results are also given and discussed.

Keywords

3-D quadratic diffeomorphism / classification / chaos

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