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Bounded–Input Bounded Output (BIBO) stability is usually studied when only the input-output behavior of a dynamical system is of interest.
Bounded Input Bounded Output (BIBO) stability is usually studied when only the input output behavior of a dynamical system is of concern.
It is well known that the dynamical behavior of a dynamical system depends on its parameters.
Symmetries change the generic behavior of a dynamical system dramatically, and in recent years, there has been rapid progress in the development of a bifurcation theory for periodic orbits of symmetric dynamical systems; see, e.g., [1].
In many cases, when modeling real-world phenomena, information about the behavior of a dynamical system is uncertain and one has to consider these uncertainties to gain better understanding of the full models.
Bifurcation diagrams thus succinctly display the general behavior of a dynamical system [21], [22].
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It affects the behaviors of a dynamical system significantly.
As is known, in order to reflect the dynamical behaviors of a dynamical model depending on the past history of the system, it is often necessary to incorporate time delays into the model.
It is well known that a common and useful method to understand behaviors of a dynamical system generated by iteration of a self-mapping is to find a simple invariant structure in its phase space and to describe the dynamics on it.
In this paper, the dynamical behavior of a class of dynamical system is investigated at fixed parameter region.
Considering qualitative behavior of a non-linear dynamical system often leads to first simplifying the differential equations or finding their normal forms.
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