Limitation of Perpetual Points for Confirming Conservation in Dynamical Systems
نویسندگان
چکیده
Perpetual Points (PPs) have been introduced as an interesting new topic in nonlinear dynamics, and there is a hypothesis that these points can determine whether a system is dissipative or not. This paper demonstrates that this hypothesis is not true since there are counterexamples. Furthermore, we explain that it is impossible to determine dissipation of a system based only on the structure of the system and its equations.
منابع مشابه
Limitation of Perpetual Points for confirming conversation in dynamical systems
Perpetual Points (PPs) have been introduced as an interesting new topic in nonlinear dynamics, and there is a hypothesis that these points can determine whether a system is dissipative or not. This paper demonstrates that this hypothesis is not true since there are counterexamples. Furthermore, we explain that it is impossible to determine dissipation of a system based only on the structure of ...
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عنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 25 شماره
صفحات -
تاریخ انتشار 2015