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We propose a forced chaos generator with a CMOS variable active inductor circuit. Two values of the equivalent inductance of the active inductor in the proposed circuit are switched by an external periodic square-wave voltage, so that a stretching-and-folding mechanism of chaotic motion is realized. The chaotic dynamics are confirmed through SPICE simulations with TSMC 0.35 µm CMOS semiconductor process...
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...
This paper describes an experimental technique for rapidly finding the boundaries of Arnold tongues. The method is suitable for characterizing the locking regions of injection-locked frequency dividers. The algorithm is described and examples are presented to demonstrate the value of the technique in comparing divider architectures with tail and direct injection.
Mixed-mode oscillations in a slow-fast dynamical system under weak perturbation are studied numerically. First, we make a band-limited extremely weak Gaussian noise, and apply this noise to this oscillator. Then, we observe random phenomenon from numerical study even if the noise is extremely weak. The mixed-mode oscillations are submerged by chaos due to extremely weak noise. We imagine that mixed-mode...
In this study, we focus on the problem of controlling chaos in State Controlled-Cellular Neural Network (SC-CNN) based chaotic circuit, which is a counterpart realization of unfolded Chua's circuit. For this purpose, RLC based external and internal control mechanisms are applied to SC-CNN based chaotic circuit. With these applications, SC-CNN based chaotic circuit is able to exhibit the serial behavior...
In this paper, experimental verification of CNN-based nonautonomous MLC system designed as chaos generator is presented by using programmable and reconfigurable IC technique. The hardware implementation uses FPAA (Field Programmable Analog Array)-based reconfigurable design methodology. FPAA is a programmable IC and a rich variety of systems including analog functions can be realized via dynamic reconfiguration...
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...
Impact oscillators appear in various fields such as nervous system, ecological system, and mechanical system. These systems have a characteristic property that the dynamics discontinuously behaves due to jumps at hitting borders in the state space. In general, it is difficult to obtain analytical solutions in this class. Thus a numerical method is indispensable for the bifurcation analysis in the...
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