9. Bifurcation a. Define bifurcation as used in this chapter. 9. Bifurcation a.
ID: 3168427 • Letter: 9
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9. Bifurcation a. Define bifurcation as used in this chapter.
9. Bifurcation a. Define bifurcation as used in this chapter. List the names of the bifurcation patterns. (No need to identify as supercritical or subcritical. Just give the main names for the patterns.) locus of unstable equilbrium values Yeq0, changes from stable to unstable semistable at y = 0 -2 ye.- changes from from unstable to stable locus of stable equilibrium values -8 1 6 -6 -2 parameter, Parameter b. Name of bifurcation pattern: c. Name of bifurcation pattern: Pairs of stable equilbirium values semistable Yeq-0 changes from stable to unstable -6 -2 Parameter d. Name of bifurcation pattern:Explanation / Answer
a. A bifurcation occurs when a small smooth change made to the parameter values (the bifurcation parameters) of a system causes a sudden 'qualitative' or topological change in its behaviour.
d.period doubling bifurcation
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