A model of the dynamics of the Newton-Leipnik attractor. (English) Zbl 0906.58025

Lofaro, Thomas

Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, No. 12, 2723-2733 (1997).

Summary: The dynamics and bifurcations of the Newton-Leipnik equations are presented. Numerical computations and local stability calculations suggest that the dynamics of the Newton-Leipnik equations are related to the dynamics and bifurcations of a family of odd, symmetric, bimodal maps. The numerically computed dynamics and bifurcations of the Newton-Leipnik equations are compared with the dynamics and bifurcations of a family of odd, symmetric, bimodal maps to motivate the connection between the two systems.

MSC:

37C70	Attractors and repellers of smooth dynamical systems and their topological structure
37E99	Low-dimensional dynamical systems

Keywords:

dynamics; bifurcations; Newton-Leipnik equations; family of odd, symmetric, bimodal maps

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