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Dynamics Of Finitely Generated Non-Autonomous Systems. (arXiv:1810.01167v1 [math.DS])
来源于:arXiv
In this paper, we discuss dynamical behavior of a non-autonomous system
generated by a finite family $\mathbb{F}$. In the process, we relate the
dynamical behavior of the non-autonomous system generated by the family
$\mathbb{F}=\{f_1,f_2,\ldots,f_k\}$ with the dynamical behavior of the system
$(X,f_k\circ f_{k-1}\circ\ldots\circ f_1)$. We discuss properties like
minimality, equicontinuity, proximality and various forms of sensitivities for
the two systems. We derive conditions under which the dynamical behavior of
$(X,f_k\circ f_{k-1}\circ\ldots\circ f_1)$ is carried forward to
$(X,\mathbb{F})$ (and vice-versa). We also give examples to illustrate the
necessity of the conditions imposed. 查看全文>>