Question

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

score 120 · Answer 1 · 2026-04-16 02:06:32

120

Views

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

Published on 16 Apr 2026 - 2:06

score 740 · Answer 2 · 2026-04-16 11:16:22

740

Views

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

Published on 16 Apr 2026 - 11:16

score 661 · Answer 3 · 2026-04-14 16:08:23

661

Views

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

Published on 14 Apr 2026 - 16:08

score 192 · Answer 4 · 2026-04-16 13:24:31

192

Views

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

Published on 16 Apr 2026 - 13:24

score 124 · Answer 5 · 2026-04-11 19:03:35

124

Views

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

Published on 11 Apr 2026 - 19:03

score 131 · Answer 6 · 2026-04-12 05:22:59

131

Views

What is going on in this fractal video?

Published on 12 Apr 2026 - 5:22

score 171 · Answer 7 · 2026-04-12 03:25:38

171

Views

Why is the Koenigs function analytic?

Published on 12 Apr 2026 - 3:25

score 783 · Answer 8 · 2026-04-17 15:30:06

783

Views

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

Published on 17 Apr 2026 - 15:30

score 225 · Answer 9 · 2026-04-16 06:23:15

225

Views

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

Published on 16 Apr 2026 - 6:23

score 202 · Answer 10 · 2026-04-13 06:20:13

202

Views

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

Published on 13 Apr 2026 - 6:20

score 486 · Answer 11 · 2026-04-13 02:22:25

486

Views

Prove that a Julia set is symmetric

Published on 13 Apr 2026 - 2:22

score 192 · Answer 12 · 2026-05-10 15:08:37

192

Views

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

Published on 10 May 2026 - 15:08

score 651 · Answer 13 · 2026-05-10 15:09:51

651

Views

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

Published on 10 May 2026 - 15:09

score 2.5k · Answer 14 · 2026-04-12 14:29:44

2.5k

Views

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

Published on 12 Apr 2026 - 14:29

score 43 · Answer 15 · 2026-04-15 09:33:07

43

Views

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

Published on 15 Apr 2026 - 9:33

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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