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Constructing chaotic systems with conditional symmetry
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DOI：10.1007/s11071-016-3118-1.png)
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Abstract
En 中文
Asymmetric dynamical systems sometimes admit a symmetric pair of coexisting attractors for reasons that are not readily apparent. This phenomenon is called conditional symmetry and deserves further explanation and exploration. In this paper, a general method for constructing such systems is proposed in which the asymmetric system restores its original equation when some of the variables are subjected to a symmetric coordinate transformation combined with a special offset boosting. Two regimes of this conditional symmetry are illustrated in chaotic flows where a symmetric pair of attractors resides in asymmetric basins of attraction.
Keywords:
Conditional symmetry
Offset boosting
Multistability
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