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The chaotic behavior of a generalized Duffing-type oscillator with fractional-order deflection under dichotomous noise excitation is discussed in detail.
As an application we study the asymptotic behavior of a generalized additive mapping.
We apply the result of Theorem 3.1 to study the asymptotic behavior of a generalized additive mapping.
We illustrate the concept of HDE by considering two general dynamical mechanisms: the passive behavior of an Integrate and Fire (IF) neuron, and the inductive behavior of a Generalized Integrate and Fire (GIF) neuron with subthreshold damped oscillations.
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Modeling nonlinear behavior of braces, a generalized force-deformation relation was used for steel brace element as suggested by FEMA-356 (2000) (Figure 5).
The author argues that the use of reinforcers contingent on responses by exclusion can be favorable, both for the stabilization of this behavior as a generalized operant class as the procedure encourages the selection of these items over that of familiar stimuli, as well as for learning of new relations between undefined stimuli (Carr, 2003).
The maximum entropy models we have used to describe the group behavior are a generalized form of the Potts model from statistical physics, which describes the behavior of spins in a lattice in terms of the interactions between them (Landau and Lifshitz, 1980).
Dodds, P. S. & Watts, D. J. Universal behavior in a generalized model of contagion.
These results are applied to study of an asymptotic behavior of these generalized quadratic mappings.
While thermal stability and oxidation properties as inherent material properties can be directly linked to the nanostructure of the coating, the frictional behavior of a coating cannot be generalized independent of the friction conditions.
The model views the turbulent regime as filling the interval between fully two-phase behavior, represented by a generalized version of the two-phase bubbling bed model of Grace (1984), and a homogeneous (single-phase) structure, subject to axially dispersed plug flow.
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