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6. (25p) For the given system: x = sin(y) bx y = sin(z) by ż = sin(x) - bz a. If b = 0.5, find fixed points and classify
Posted: Thu May 26, 2022 10:47 am
by answerhappygod
- 6 25p For The Given System X Sin Y Bx Y Sin Z By Z Sin X Bz A If B 0 5 Find Fixed Points And Classify 1 (25.5 KiB) Viewed 24 times
6. (25p) For the given system: x = sin(y) bx y = sin(z) by ż = sin(x) - bz a. If b = 0.5, find fixed points and classify their stability. b. Is this system dissipative. c. If 0 ≤ b ≤ 0.5, plot bifurcation diagram (b vs. xmax). Comment on the diagram. d. Plot Phase-Portrait (x-y-z) of the system for b = 0.1, b = 0.2, b = 0.3, and comment on the plots. Note: choose initial conditions close to zero.