Theoretical and empirical studies have shown that enemy-victim interactions in spatially homogenous environments can exhibit diverging oscillations which result in the extinction of one or both species. For enemy-victim models with overlapping generations, we investigate the dynamical implications of spatial heterogeneity created by enemy-free sinks or victimless sinks. An enemy-free sink is a ...

We investigate the dynamics of a semiconductor laser subject to coherent delayed filtered optical feedback. A systematic bifurcation analysis reveals that this system supports two fundamentally different types of oscillations, namely relaxation oscillations and external roundtrip oscillations. Both occur stably in large domains under variation of the feedback conditions, where the feedback phas...

We study a relay feedback system (RFS) having an ideal element and linear, time-invariant, second-order plant. The is modeled as on-off switch. And the plant using transfer function that follows: first, Hurwitz stable, second, proper, third, has positive real zero, andfourth, dc gain. analyze this RFS state-space description, with closed-form expressions for state trajectory from one switching ...