Journal
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
Volume 21, Issue 1, Pages 67-75Publisher
SPRINGER
DOI: 10.1007/s11424-008-9067-0
Keywords
bifurcation; conjugate attractors; degeneration; Lyapunov exponent; quadratic chaotic system
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The paper reports the dynamical study of a three-dimensional quadratic autonomous chaotic system with only two quadratic nonlinearities, which is a special case of the so-called conjugate Lu system. Basic properties of this system are analyzed by means of Lyapunov exponent spectrum and bifurcation diagram. The analysis shows that the system has complex dynamics with some interesting characteristics in which there are several periodic regions, but each of them has quite different periodic orbits.
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