- return map, and (iii) the recurrence plot. By establishing the last of the three classic routes to chaos, this study strengthens the universality of how strange attractors arise in self-excited thermoacoustic systems, paving the way for the application of generic suppression strategies based on chaos control. Key words: chaos, bifurcation 1 ...
- unstable. The value of rdetermines the number of xed points. b) Bifurcation diagram for the same system. This is known as a supercritical pitch-fork bifurcation. points at x = 0; p r. When the sign of x3 is ipped then the bifurcation diagram is inverted. For r<0 there are three xed points with the outer two unstable. For r>0 there is a single ...
- Bifurcation diagram Bifurcation diagram shows the possible long-term values (equilibria or periodic orbits) of a system as a function of a bifurcation parameter in the system. Bifurcation diagram of Logistic map: the bifurcation parameter r is shown on the horizontal axis of the plot and the vertical axis shows the possible long-term population

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