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Xingwu Chen Valery G. Romanovski 《Journal of Mathematical Analysis and Applications》2010,362(2):129-189
In this paper we present the necessary and sufficient conditions for linearizability of the planar time-reversible cubic complex system , . From these conditions, the necessary and sufficient conditions for the origin to be an isochronous center of the time-reversible cubic real system , can be obtained. Thus, the isochronous center problem of time-reversible cubic systems is solved completely. 相似文献
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Hideo Ōsawa 《Queueing Systems》1994,18(1-2):133-148
We consider a discrete-time queueing system and its application to related models. The model is defined byX
n+1=Xn+An-Dn+1 with discrete states, whereX
n is the queue-length at the nth time epoch,A
n is the number of arrivals at the start of the nth slot andD
n+1 is the number of outputs at the end of the nth slot. In this model, the arrival process {A
n} is described as a sequence of independently and identically distributed random variables. The departureD
n+1 depends only on the system sizeX
n+An at the beginning of the time slot.We study the reversibility for the model. The departure discipline in which the system has quasi-reversibility is determined. Models with special arrival processes were studied by Walrand [8] and sawa [7]. In this paper, we generalize their results. Moreover, we consider discrete-time queueing networks with some reversible nodes. We then obtain the product-form solution for these networks. 相似文献
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