Journal of Applied Mathematics / 2014 / Article / Fig 4

Research Article

Birhythmicity and Hard Excitation from Coupled Synthetic Feedback Loops

Figure 4

Bifurcation diagrams of two parameters showing the domains of different dynamical behaviors for model (1). (a) and , (b) and , (c) and , and (d) and . Notations are SLC for single stable limit cycle, SSS for stable steady state, BR for birhythmicity, and HE for hard excitation. Black solid lines stand for limit point bifurcation (LP); dot-dashed lines denote Hopf bifurcation (HB). All these notations represent the same meaning in the following bifurcation diagrams about two parameters throughout the whole paper. The diagrams have been established by numerical integration of (1) with the parameter values listed in Section 2.

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