New Chaotic Regimes in the Lorenz and Chen Systems
J. C. Sprott
Abstract
J. C. Sprott
Abstract
It has recently been shown that the Chen system with c > 0 is identical to the reversed-time Lorenz system with particular negative parameters and that the Chen system with c < 0 is identical to the forward-time Lorenz system with particular negative parameters. This note describes this new regime and shows that it admits chaotic solutions that were previously unexplored in either system.
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It has recently been shown that the Chen system with c > 0 is identical to the reversed-time Lorenz system with particular negative parameters and that the Chen system with c < 0 is identical to the forward-time Lorenz system with particular negative parameters. This note describes this new regime and shows that it admits chaotic solutions that were previously unexplored in either system.
Key concepts: Chen, Lorenz system, Chaotic, Chaotic systems, Mathematics, Statistical physics, Physics, Applied mathematics