连续时间系统的对称混沌化
Chaotifiying continuous-time systems by symmetry
摘要:
在这封信中,我们提出了一种方法,通过添加对称性到另一个系统,至少有一个平衡点的任何预先指定的平衡数的动力系统。如果所得到的系统是混沌的,我们称这个过程为对称混沌化,因为所得到的系统是混沌的,有许多对称的平衡点。
英文摘要:
In this letter we present a method of constructing dynamical systems with any preassigned number of equilibria by adding symmetry to another system with at least one equilibrium point. If the resulting system is chaotic, we call this procedure chaotification by symmetry since the resulting system is chaotic with many symmetrical equilibrium points.
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