5 research outputs found
Emergence of chaotic hysteresis in a second-order non-autonomous chaotic circuit
The observation of hysteresis in the dynamics of a third-order autonomous
chaotic system namely, the {\it{Chua's}} circuit has been reported recently
\cite{Gomes2023}. In the present work, we make a detailed study on the
emergence of dynamical hysteresis in a simple second-order non-autonomous
chaotic system namely, the {\it{Murali-Lakshmanan-Chua }} (MLC) circuit. The
experimental realization of chaotic hysteresis is further validated by
numerical simulation and analytical solutions. The presence of chaotic
hysteresis in a second-order non-autonomous electronic circuit is reported for
the first time. Multistable regions are observed in the dynamics of MLC with
constant bias.Comment: 27 Pages, 10 figure
Hidden dynamics of an optically injected laser diode subject to threshold electromagnetic induction: coexistence of multiple stable states
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