List questions from chaos-theory

Published on 26 Jan 2016 - 1:13

39

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$\lim\limits_{n\to\infty}$ of iterated function $e^{x-1}$

Published on 26 Jan 2016 - 1:56

75

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Show that $E_\mu$ has no periodic points that are not fixed points

Published on 30 Jan 2016 - 20:35

54

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Limits of two fixed points of $E_\mu(x) = \mu e^x$

Published on 31 Jan 2016 - 2:38

156

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$2$-dim dynamical system IVP

Published on 02 Feb 2016 - 20:20

383

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Construct differential equation given the phase portrait (non-linear pendulum)

Published on 03 Feb 2016 - 0:15

151

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Ergodicity of the natural measure implies uniqueness of the invariant density?

Published on 08 Feb 2016 - 11:30

386

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$f(x) = 2x \mod 1$ not equal to zero for all $x$?

Published on 10 Feb 2016 - 4:06

859

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Lyapunov Exponent sensitivity to initial conditions

Published on 10 Feb 2016 - 22:11

1.5k

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Is the distribution of prime numbers chaotic?

Published on 29 Feb 2016 - 22:59

349

Views

Why does the logistic map $x_{n+1}=rx_n(1-x_n)$ become unstable when $\lvert\frac{df(x^*)}{dx}\rvert=1$?

Published on 03 Mar 2016 - 19:10

1.6k

Views

Has this chaotic map been studied?

Published on 26 Mar 2026 - 9:36

76

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Deriving convergence region of iterative formula

Published on 10 Mar 2016 - 20:43

328

Views

Transform $dx/dt = 1 + r + x^2$ into normal form $dX/dt = R +- X^2$ (saddle node bifurcation)

Published on 26 Mar 2026 - 17:33

1.6k

Views

'Fast' and 'slow' Eigendirection?

Published on 03 Apr 2016 - 2:49

List Question

$e^{x-1}$ has only one fixed point

$\lim\limits_{n\to\infty}$ of iterated function $e^{x-1}$

Show that $E_\mu$ has no periodic points that are not fixed points

Limits of two fixed points of $E_\mu(x) = \mu e^x$

$2$-dim dynamical system IVP

Construct differential equation given the phase portrait (non-linear pendulum)

Ergodicity of the natural measure implies uniqueness of the invariant density?

$f(x) = 2x \mod 1$ not equal to zero for all $x$?

Lyapunov Exponent sensitivity to initial conditions

Is the distribution of prime numbers chaotic?

Why does the logistic map $x_{n+1}=rx_n(1-x_n)$ become unstable when $\lvert\frac{df(x^*)}{dx}\rvert=1$?

Has this chaotic map been studied?

Deriving convergence region of iterative formula

Transform $dx/dt = 1 + r + x^2$ into normal form $dX/dt = R +- X^2$ (saddle node bifurcation)

'Fast' and 'slow' Eigendirection?

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