Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 23, Issue 5, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127413500934
Keywords
Stable equilibrium; periodic solution; strange attractor
Funding
- Hong Kong Research Grants Council under the GRF [CityU1109/12]
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For a dynamical system described by a set of autonomous ordinary differential equations, an attractor can be a point, a periodic cycle, or even a strange attractor. Recently, a new chaotic system with only one stable equilibrium was described, which locally converges to the stable equilibrium but is globally chaotic. This paper further shows that for certain parameters, besides the point attractor and chaotic attractor, this system also has a coexisting stable limit cycle, demonstrating that this new system is truly complicated and interesting.
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