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Fixed points and iterates of an invertible function

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#dynamical-systems
128
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Eigenfunction of $T^n$ vs. eigenfunction of $T$ when $T$ is ergodic

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#functional-analysis #dynamical-systems #ergodic-theory
2.5k
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How do you find the fixed and period-$2$ points of $f(x)=x^2-3x+3$?

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#dynamical-systems
1.5k
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Lyapunov Stability of Non-autonomous Nonlinear Dynamical Systems

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#ordinary-differential-equations #dynamical-systems #control-theory #nonlinear-system
139
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How to compress a linear operator and have the lossless composition property.

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#linear-algebra #matrices #operator-theory #dynamical-systems
245
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Exp. Stability of perturbed system with temporally vanishing perturbation

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#dynamical-systems #perturbation-theory
621
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Non-ergodic measure

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#measure-theory #probability-theory #dynamical-systems #ergodic-theory
81
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Finding the best real value for $C$.

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#ordinary-differential-equations #optimization #dynamical-systems #recurrence-relations
52
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possible dynamics on $\mathbb{R}^2$

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#dynamical-systems
758
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example of an unstable fixed point for which the linearized dynamics are stable

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#dynamical-systems
389
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Normal form of a vector field in $\mathbb {R}^2$

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#ordinary-differential-equations #dynamical-systems
2.1k
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Solve system of first order differential equations

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#ordinary-differential-equations #dynamical-systems
75
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Limiting value of iteration $x(k+1) = A x(k) + B u(k)$ for summable $u(k)$

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#sequences-and-series #convergence-divergence #dynamical-systems
315
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Milk and Coffee will they ever finish

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#real-analysis #recreational-mathematics #dynamical-systems
10.8k
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How do I find transfer function of a discrete-time system when its state-space form is given?

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#discrete-mathematics #dynamical-systems #signal-processing #systems-theory

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