Effect of linewidth enhancement factor (LEF) on routes to chaos in optically injected semiconductor lasers

The effect of the linewidth enhancement factor (LEF) or α-factor on two common routes to chaos (mainly period-doubling and quasi-periodic routes) in optically injected semiconductor laser is theoretically investigated using bifurcation diagrams. The value of the LEF is slightly modified to examine the sensitivity of routes to chaos to any variation in the LEF. Despite the fact that LEF enhances chaos in the system, both routes are found to be highly insensitive to the variation in the LEF.

Extreme Multistability with Hidden Attractors in a Simplest Memristor-Based Circuit

A simplest memristor-based circuit as a quasi-Hamiltonian system with extreme multistability is proposed and analyzed. There is no equilibrium in the system, but chaotic, quasi-periodic and periodic hidden attractors are present. The coexisting bifurcation diagrams associated with the coexisting singular attractors are observed by varying the system parameters. Of particular interest is that the coexistence of an infinite number of hidden attractors for a set of system parameters is discovered. Finally, two routes to chaos, intermittent chaotic and transient chaotic routes, are analyzed systematically, which reveal the mechanisms of chaos generation in the new circuit system.