Journal
NONLINEAR DYNAMICS
Volume 81, Issue 3, Pages 1381-1392Publisher
SPRINGER
DOI: 10.1007/s11071-015-2075-4
Keywords
Dissipative chaotic system; Celestial conservative system; Spherical chaotic attractor
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Funding
- Incentive Funding of National Research Foundation of South Africa [IFR150130113354]
- Hong Kong Research Grants Council under the GRF [CityU112014]
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This paper proposes a spherical chaotic system by appropriately combining a celestial conservative system with a dissipative chaotic system. The spherical system spins around its axis chaotically while revolving along an elliptical orbit. The spherical system takes on rich dynamics: having spherical four-wing chaotic attractors, spherical ring-like chaotic attractors, spherical periodic orbits and spherical sink orbits, as the dissipative sub-system is perturbed through parameter variations.
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