Classification of Three-Dimensional Quadratic Diffeomorphisms with
Constant Jacobian
Zeraoulia Elhadj
Department of Mathematics, University
of Tébésa, (12000),
Algeria
J. C. Sprott
Departments of Physics, University
of Wisconsin, Madison, WI 53706, USA
Received June 14, 2008; accepted August 28, 2008
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.
Ref: E. Zeraoulia
and J. C. Sprott,
Frontiers of Physics in China 4,
111-121(2009)
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