This paper presents pulse-coupled two bifurcating neurons. The single neuron is represented by a spike position map and the coupled neurons can be represented by a composition of the spike position maps. Using the composite map, we can analyze basic bifurcation phenomena and can find some interesting phenomena that are caused by the pulse-coupling and are impossible in the single neuron. Presen...

In this paper, the nonlinear dynamics of a non-autonomous system model for third order sub-harmonic in a basic ferroresonant circuit are analyzed in details, including phase trajectory, Poincaré map, bifurcation diagram, dissipativity analysis and Spectrogram map. Furthermore, a sliding mode controller of the system is designed and both theory analysis and numerical simulation are presented, wh...

A road map for the long term development of the partial element equivalent circuit (PEEC) method is presented. Emerging areas are pointed out together with a solution strategy. Special attention is given to speed up approaches, mesh generation, and time domain stability. The purpose with the road map is to facilitate a unified development of the method into an electromagnetic modeling method su...

Adaptation is one of the basic phenomena of biology, while adaptability is an important feature for neural network. Young barn owl can well adapt its visual and auditory integration to the environmental change, such as prism wearing. At first, a mathematical model is introduced by the related study in biological experiment. The model well explained the mechanism of the sensory map realignment t...

The issue of characterizing the linear transformations which map certain classes of square matrices into or onto themselves has been the theme of several papers recently written, e.g. [2-4 and 6]. The "into" problem is, in general, harder than the "onto" one, and it has been solved only under some additional hypothesis, namely, nonsingularity of the transformation or a somewhat weaker condition...

In this paper a new method for chaos control is proposed, consisting of an unsupervised neural network, namely a Motor Map. In particular a feedback entrainment scheme is adopted: a chaotic system with a given parameter set generates the reference trajectory for another chaotic system with different parameters to be controlled: the Motor Map is required to provide the appropriate time-varying g...

The reliability of an integrated circuit (IC) is a strong function of temperature. In this study, we developed domputer-aided design tools to predict the temperature distribution of an IC die and compared it with thermal maps obtained by infrared (IR) imaging. A temperature sensor array fabricated on test chips was used to measure the actual surface temperature of an IC die., This array was use...

Abstract—This paper presents bifurcation and chaos in a PWM currentmode H-bridge inverter. This inverter exhibits various interesting bifurcation phenomena. First, we briefly explain the behavior of a PWM currentmode H-bridge inverter from viewpoints of the switched dynamical system. In order to analyze the circuit dynamics we derive a return map exactly. Using this map, the stability of the pe...

We propose an efficient Key-policy Attribute-based Encryption (KP-ABE) scheme for general (monotone) Boolean circuits based on secret sharing and on a very particular and simple form of leveled multilinear maps, called chained multilinear maps. The number of decryption key components is substantially reduced in comparison with the scheme in [6], and the size of the multilinear map (in terms of ...