Bifurcation Diagram


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Bifurcation Diagram

A graph that shows the critical points where bifurcation occurs, and the possible solutions that exist at that point.
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In Figure 3 we give a bifurcation diagram of [[beta].
By introducing the linear feedback controller control, the other parameters unchanged, using 4-5 order variable step Runge-Kutta method to carry on numerical simulation, and to get he bifurcation diagram of the controlled system, as shown in Fig.
The bifurcation diagram and phase portrait for model (5) are depicted in Figure 1.
Figures 2(a) and 2(b) represent the bifurcation diagram of intact plate via the different excitation frequencies and amplitudes on transversal displacement w, respectively.
Using the method of nonlinear dynamics, system stability is analyzed, and the analysis demonstrates the complex behavior of the supply chain using the bifurcation diagram, the attractor, maximum Lyapunov index and sensitivity to the initial value, and so forth.
A bifurcation diagram is a plot of the value of the attractor states versus the value of I.
613548 value, after quasistatically perturbation near to this equilibrium point the appearance of further bifurcations of periodic orbits(PDB-1, PDB-3 and PDB-5) are also detected and demonstrated in bifurcation diagram.
The process of a bifurcation diagram can be exemplified, as seen in Fig.
The created software allows for a very quick simulation and visualization, reporting the Bifurcation Diagram, the Return Map, The Phase Diagram, and a visualization of the oscillations of the system under study.
The bifurcation diagram and the Lyapunov exponents spectrum are showed in Fig 2.
The bifurcation diagram with m as the bifurcation parameter, is illustrated in Fig.