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Intro to the discrete dynamical system equation xk+1 = Axk
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Intro to the discrete dynamical system equation xk+1 = Axk
12:28
About this lesson
• Linear Transformation
• Multiplying with A k times
• Generalized formula
• Why is this formula useful?
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Video 1 of 10
Intro to the discrete dynamical system equation xk+1 = Axk
12 min
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Solving a discrete dynamical system for general solution and long-term behavior
21 min
Modeling predator-prey populations as a discrete dynamical system
5 min
Finding the general solution of xk+1 = Axk with given eigenvalues and x0
14 min
Long-term behavior of a discrete dynamical system with a diagonal matrix
16 min
Long-term behavior of a diagonal system with eigenvalues 3 and 0.5
12 min
Effect of removing one species on eagle and rabbit populations
7 min
Finding matrix A from a system of recurrence equations
3 min
Writing the general solution using eigenvalues and eigenvectors
3 min
Long-term behavior of rabbit and eagle populations as k approaches infinity
7 min