# Questions tagged [discrete-time]

For questions related to discrete time. Discrete time views values of variables as occurring at distinct, separate "points in time", or equivalently as being unchanged throughout each non-zero region of time ("time period")—that is, time is viewed as a discrete variable.

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### Stability of fixed points in a 2D discrete time dynamical system

I am studying the stability of fixed points in the Henon map for a project, and I have a question regarding it. The Henon map we are studying is given by: \begin{align*} x_{n+1}&=1+y_n-\alpha x_n^...
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### Find the slope at a given time value of this equation of a heart [closed]

The following equation draws the curve of a heart: $x(t)=12sin(t)-4sin(3t)$ $y(t)=13cos(t)-5cos(2t)-2cos(3t)-cos(4t)$ Image https://de.wikipedia.org/wiki/Benutzer:Georg-Johann I would like to find the ...
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### find the position a mobile when $x'(t)=2 y'(t)$

A mobile is moving along the graph of $f(x)= \ln(x)$ , find the position of the mobile at the point in time when the rate of change of the abscissa is twice the rate of change of the ordinate. My ...
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### In a discrete-time Markov chain, is the probability of not being able to get from a state $u$ to $v$ a rational number? [closed]

One can think about a discrete-time Markov chain as a weighted directed graph $D = (V, E)$ where $E \subseteq V \times (0, 1]$, as each vertex represents a state, and an edge $(u, v)$ with weight $w$ ...
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### Unity game ATB system with a minimum turn timer

I'm trying to make a spin on the Active Time Battle mechanic (ATB) most commonly seen in the Final Fantasy series. ATB is a timing mechanic, whereby units in combat will each have a meter that fills ...
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### Prove iterations of quadratic maps tends to $-\infty$

So far, I have to read about quadratic map in "Introduction to Dynamical Systems" by Brin and Stuck. The quadratic map is $$q_{\mu}(x) = \mu x(1-x), \quad \mu > 0.$$ Now, I need to show ...
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