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In this contribution, we perform a detailed study of the effect of electromagnetic induction on the dynamical behavior of laser diode modeled by novel single-mode four-dimensional rate equations. Memristor is used to describe electromagnetic induction effect. As result, the obtained model is equilibrium free thus displays hidden dynamics. Consequently, Shilnikov method is not suitable to explain the chaos mechanism in the introduced laser model. Furthermore, there is no heteroclinic nor homoclinic orbit. Based on numerical simulations, we found that the laser model displays hidden dynamics including period doubling bifurcation, multistability (with three different stable states) and crisis phenomena when the electromagnetic strength is varied. The circuit emulator of laser model investigated in this paper has been designed in the Pspice environment to further support numerical results. [ABSTRACT FROM AUTHOR]

In this paper, an autonomous RC hyperjerk like-chaotic circuit with cubic nonlinearity is introduced and investigated. The state equations of the proposed hyperjerk chaotic circuit are described using Kirchhoff's laws. Some fundamental properties of the system such as symmetry, dissipation, equilibrium points and stability are examined. It is found that the system has three equilibrium points which are all unstable. By varying the parameters of the system, it is revealed from numerical simulations that the system exhibits some interesting dynamics including crisis event, hysteretic dynamics (inducing the coexistence of attractors) and transient chaos. To the best of the authors' knowledge, the results of this work represent the first report on the phenomenon of transient chaos in a hyperjerk like-chaotic system and thus deserve dissemination. Hardware experiments are performed to support numerical simulations. The results from hardware experiments are in good agreement with numerical simulations. [ABSTRACT FROM AUTHOR]

This paper exposes circuit design of linear congruential generator (LCG) and implementation in FPGA based on block reduction technique. The circuit is derived from LCG algorithm proposed by Lehmer. Block reduction technique has been used to simplify the circuit. Several net connections among the blocks of the circuit are ignored or disconnected and the multiplier is replaced by a shifter. Simulations of both behavior and timing have been done and the results confirm its algorithm. The Cyclone II EP2C8Q208C8N and Cyclone IV E EP4CE115F29C7N of Altera have been chosen to extract comparison data of speed and occupied area. Further comparison of shift technique and the wordlengths reduction technique has been made. In general, the proposed design is far simpler than the previous published LCG circuit. [ABSTRACT FROM AUTHOR]