Question

Looking for stationary points of the nonlinear recurrence $x = {\rm e}^{\jmath \alpha x}$

score 117 · Answer 1 · 2016-12-28 13:39:07

117

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Looking for stationary points of the nonlinear recurrence $x = {\rm e}^{\jmath \alpha x}$

Published on 28 Dec 2016 - 13:39

score 737 · Answer 2 · 2016-12-29 13:50:35

737

Views

When does $x^{x^{x^{...^x}}}$ diverge but $x^{x^{x^{...^c}}}$ converge?

Published on 29 Dec 2016 - 13:50

score 659 · Answer 3 · 2017-01-01 12:30:45

659

Views

Find the Julia set of $f(z) = z^2$ - which sequences of iterates do we need to investigate?

Published on 01 Jan 2017 - 12:30

score 189 · Answer 4 · 2017-01-01 12:53:17

189

Views

From where do we get $\varphi(w) = w + \frac 1 w$ for $w^2$ and $z^2 - 2$?

Published on 01 Jan 2017 - 12:53

score 121 · Answer 5 · 2017-01-15 06:42:47

121

Views

Fatou Coordinate with two complex conjugate fixed points and extending Tetration to real values

Published on 15 Jan 2017 - 6:42

score 128 · Answer 6 · 2017-01-17 02:00:24

128

Views

What is going on in this fractal video?

Published on 17 Jan 2017 - 2:00

score 168 · Answer 7 · 2017-01-21 00:54:40

168

Views

Why is the Koenigs function analytic?

Published on 21 Jan 2017 - 0:54

score 780 · Answer 8 · 2017-01-22 21:12:45

780

Views

Why does the mandelbrot set and its different variants follow similar patterns to epi/hypo trochodis and circular multiplication tables?

Published on 22 Jan 2017 - 21:12

score 222 · Answer 9 · 2017-01-28 07:29:02

222

Views

Were any to exist, would "non-hyperbolic" Mandelbrot components be detectable visually?

Published on 28 Jan 2017 - 7:29

score 199 · Answer 10 · 2017-02-09 13:12:35

199

Views

Are there any differentiable points on the boundary of the Mandelbrot set?

Published on 09 Feb 2017 - 13:12

score 483 · Answer 11 · 2017-02-17 07:43:16

483

Views

Prove that a Julia set is symmetric

Published on 17 Feb 2017 - 7:43

score 190 · Answer 12 · 2026-03-25 16:45:37

190

Views

Is "indeterminate" a better name than "indifferent" for neutral fixed-points?

Published on 25 Mar 2026 - 16:45

score 647 · Answer 13 · 2026-03-25 16:46:31

647

Views

how many known classifications and types of indifferent fixed-points are there?

Published on 25 Mar 2026 - 16:46

score 2.5k · Answer 14 · 2017-03-08 04:06:48

2.5k

Views

Why does the mandelbrot set seem to end at a copy of itself?

Published on 08 Mar 2017 - 4:06

score 40 · Answer 15 · 2017-03-08 05:38:27

40

Views

The distance $\epsilon$ between two image points in a iterated linear map

Published on 08 Mar 2017 - 5:38

List Question

Looking for stationary points of the nonlinear recurrence $x = {\rm e}^{\jmath \alpha x}$

When does $x^{x^{x^{...^x}}}$ diverge but $x^{x^{x^{...^c}}}$ converge?

Find the Julia set of $f(z) = z^2$ - which sequences of iterates do we need to investigate?

From where do we get $\varphi(w) = w + \frac 1 w$ for $w^2$ and $z^2 - 2$?

Fatou Coordinate with two complex conjugate fixed points and extending Tetration to real values

What is going on in this fractal video?

Why is the Koenigs function analytic?

Why does the mandelbrot set and its different variants follow similar patterns to epi/hypo trochodis and circular multiplication tables?

Were any to exist, would "non-hyperbolic" Mandelbrot components be detectable visually?

Are there any differentiable points on the boundary of the Mandelbrot set?

Prove that a Julia set is symmetric

Is "indeterminate" a better name than "indifferent" for neutral fixed-points?

how many known classifications and types of indifferent fixed-points are there?

Why does the mandelbrot set seem to end at a copy of itself?

The distance $\epsilon$ between two image points in a iterated linear map

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