The concepts of symbolic dynamics and data set partitioning have been used for feature extraction and classification of time series data. Although modeling of state machines from symbol sequences has been widely reported, similar efforts have not been expended to investigate partitioning of time series data to optimally generate symbol sequences for classification.The paper proposes a partition...

In this paper, chaotic dynamic and nonlinear control in a glucose-insulin system in types I diabetic patients and a healthy person have been investigated. Chaotic analysis methods of the blood glucose system include Lyapunov exponent and power spectral density based on the time series derived from the clinical data. Wolf's algorithm is used to calculate the Lyapunov exponent, which positive val...

totoday’s market place is increasingly dynamic and volatile. in this area supply network issues recently have attracted a lot of attention from industrial practitioners and academics worldwide. chaos theory is the study of complex, nonlinear, dynamic systems. for chaotic systems, a tiny change in conditions may result in an enormous change in system output, whereas substantial changes in condit...

There is a long tradition of studying chaotic trajectories in systems whose integrability broken by means an external perturbation. Here we explore different route to chaos, the dynamics extended bodies, which arises due finite-size corrections otherwise integrable motion test particle. We find that cyclic changes overall shape body may lead onset chaos. This applied Duffing and Yukawa potentia...

This paper presents a simple periodic parameter-switching method which can find any stable limit cycle that can be numerically approximated in a generalized Duffing system. In this method, the initial value problem of the system is numerically integrated and the control parameter is switched periodically within a chosen set of parameter values. The resulted attractor matches with the attractor ...

a chaotic optimization algorithm (coa) based approach for the robust coordinated design of the upfc power oscillation damping controller and the conventional power system stabilizer has been investigated in this paper. chaotic optimization algorithms, which have the features of easy implementation, short execution time and robust mechanisms of escaping from local optimum, is a promising tool fo...

This paper analytically and numerically investigates the dynamical characteristics of a fractional Duffing–van der Pol oscillator with two periodic excitations distributed time delay. First, we consider pitchfork bifurcation system driven by both high-frequency parametric excitation low-frequency external excitation. Utilizing method direct partition motion, original is transformed into an effe...