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Discretization effects of second order terminal sliding mode control systems are studied. The existence of periodic solutions is investigated. Complete classification of period-2 orbits is given. The influence of system's parameters on the size of the steady state solution is studied. Theoretical results are illustrated with simulation examples.
This paper presents how the optimization of continuous-time (CT) ΣΔ modulators by scaling the loop filter coefficients affects the signal transfer function (STF) and in which way the method can be used to reduce peaking in the STF. It is shown that, depending on the initial design, it is possible to define optimized parameter sets with increased performance and remaining flat STF or sets with constant...
In this paper, we consider inter-spike-interval (abbr. ISI) density of a chaotic spiking oscillator with piecewise-constant vector field. The system generates various spike trains governed by its chaotic behavior. To study these chaotic spike trains is not only interesting for fundamental nonlinear problems, but also important for engineering applications. First, in order to analyze the behavior of...
We describe the mathematical model of a digitally controlled buck converter. This model is an autonomous discrete-time discontinuous piecewise-linear dynamical system in three dimensions. Investigating this system, we find its equilibrium points, describe the shape and size of possible limit cycles (i.e. stable periodic motions), and derive conditions for their existence and non-existence.
A simple memristor-based oscillatory network has been recently proposed as building block for the realization of associative and dynamic oscillatory memories for spatio-temporal pattern recognition applications. The network was found to experience a gamut of complex dynamic behaviors. A complete picture of the network dynamics requires a preliminary study of the basic oscillator. Study of its local...
The two neuron CNN system with piecewise linear activation function and time dependent external inputs is analyzed and the parametric solutions for the trajectories are given. We look then at the particular case in which the CNN has an antisymmetric template and sine external input. For particular parameter values, this example has been found in the literature to have chaotic behavior. We use the...
We investigate a system of mutually coupled three neurons in a line with the inhibitory synapses as a basic motif of complex networks. For class I and class II neurons, bifurcation structure is analyzed when we change the external DC current of a middle neuron. In both classes, the neurons have a wide parameter region in which stable 1∶2 cluster synchronous firing is observed as the external DC current...
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