Limitation of Perpetual Points for Confirming Conservation in Dynamical Systems

作者：Jafari Sajad^*; Nazarimehr Fahimeh; Sprott J C; Golpayegani Seyed Mohammad Reza Hashemi

来源：International Journal of Bifurcation and Chaos, 2015, 25(13): 1550182.

DOI：10.1142/S0218127415501825

• Perpetual point
• dissipation
• conservative system
• multistability
• coexisting attractors

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.

• 出版日期2015-12