This paper presents a simple chaotic circuit consisting of two capacitors, one linear two-port VCCS and one time-state-controlled impulsive switch. The impulsive switch causes rich chaotic and periodic behavior. The circuit dynamics can be simplified into a one-dimensional return map that is piecewise linear and piecewise monotone. Using the return map, we clarify parameter conditions for chaot...

Chaotic oscillators based on RC-elements and nonlinear amplifiers with sigmoid function only are discussed. The analysis of the structure a number of wellknown oscillators is carried out. On the basis of that analysis the structure of the oscillators which consist of RC–elements and op amps only and capable to show chaotic oscillations is suggested. Computer simulation of chaotic behavior of os...

In our previous research, we confirmed that the chaotic switching noise generated by the cubic map gained a good performance for solving combinatorial optimization problems when the noise was injected to the Hopfield neural network. However, the reason of the good effect of chaotic switching noise has not been clarified completely. In this study, we investigate the solving ability of Hopfield n...

The non-linear dynamics of the chaotic 1D logistic map and its statistical and spectral properties are studied using MATLAB numerical simulations. We have developed an analog behavioral model and implemented logistic map on a field programmable analog array chip. Presented measurement results confirmed the chaotic behavior of the implemented system. Results show that field programmable analog a...

Under the pseudoinverse control, robots with kinematical redundancy exhibit an undesirable chaotic joint motion which leads to an erratic behavior. This paper studies the complexity of fractional dynamics of the chaotic response. Fourier and wavelet analysis provides a deeper insight, helpful to know better the lack of repeatability problem of redundant manipulators. This perspective for the st...

Chaotic neural networks have received a great deal of attention these last years. In this paper we establish a precise correspondence between the so-called chaotic iterations and a particular class of artificial neural networks: global recurrent multi-layer perceptrons. We show formally that it is possible to make these iterations behave chaotically, as defined by Devaney, and thus we obtain th...

The chaotic behavior of the Rabinovich–Fabrikant system, a model with multiple topologically different chaotic attractors, is analyzed. Because of the complexity of this system, analytical and numerical studies of the system are very difficult tasks. Following the investigation of this system carried out in [Danca & Chen, 2004], this paper verifies the presence of multiple chaotic attractors in...

The antisynchronization behavior of chaotic systems with parametric uncertainties and external disturbances is explored by using robust active sliding mode control method. The sufficient conditions for achieving robust antisynchronization of two identical chaotic systemswith different initial conditions and two different chaotic systems with terms of uncertainties and external disturbances are ...