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Advanced Physics 3. Consider the discrete-time dynamical system on X = R, given by the iteration Xa+l = Ax, where A = (c) Compute all equilibria (fixed points) and all 4-periodic points. Show that the peri- odic points are dense and sketch the dynamics in the phase space.

Advanced Physics 3. Consider the discrete-time dynamical system on X = R, given by the iteration Xa+l = Ax, where A = (c) Compute all equilibria (fixed points) and all 4-periodic points. Show that the peri- odic points are dense and sketch the dynamics in the phase space.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Advanced Physics 3. Consider the discrete-time dynamical system on X = R, given by the iteration 0 -1 Xa+1 = Ax, where A = (c) Compute all equilibria (fixed points) and all 4-periodic points. Show that the peri- odic points are dense and sketch the dynamics in the phase space.
Transcribed Image Text:Advanced Physics 3. Consider the discrete-time dynamical system on X = R, given by the iteration 0 -1 Xa+1 = Ax, where A = (c) Compute all equilibria (fixed points) and all 4-periodic points. Show that the peri- odic points are dense and sketch the dynamics in the phase space.
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