Self-organizations with fast-slow time scale in a memristor-based Shinriki’s circuit

Complexity of a peroxidase–oxidase reaction model

“…4-6, where colours indicate phases characterized by periodic oscillations while black denotes phases where no periodic oscillations were detected. Isoperiodic diagrams have been found useful in the study of complex systems [41][42][43][44][45][46] . For a recent survey about the computation of standard Lyapunov stability diagrams and more fruitful alternatives see Ref.…”

Chirality detected in Hartley’s electronic oscillator

“…In experiments, C G D may be simulated using operational amplifiers. The classification is done using isospike stability diagrams [10][11][12][13][14][15][16][17][18], the flow version of the isoperiodic stability diagrams commonly used for maps [19][20][21][22]24]. Briefly, for a given set of parameters, we numerically integrate the equations of motion recording the number of spikes per period for all periodic oscillations.…”

“…To count oscillation spikes is easy to do in a very reliable way. The fruitful isospike technique to classify complex oscillations is discussed in-depth in recent literature [10][11][12][13][14][15][16][17][18].…”

Dynamics Analysis and Intermittent Energy Feedback Control of m‐HR Neuron Model under Electromagnetic Induction

“…Similarly, in the parameter plane shown in Figures 2(c)-2(e), system (1) also has tongue-shaped periodic region and comb-shaped chaotic structure, in which its corresponding periodic region becomes narrower with the increase of the number of active periodic of bursting. Note that this bifurcation feature is common in all kinds of dynamical systems [37][38][39]. More precisely, Figure 2(c) manifests that the discharge mode mainly depends on parameter u for I ∈ [0, 0.04], where the smaller the value of u is, the larger the corresponding period or chaos appears.…”