Question

Neccesary condition for a family of functions to have a period-doubling bifurcation

score 180 · Answer 1 · 2026-03-27 04:21:50

180

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Neccesary condition for a family of functions to have a period-doubling bifurcation

Published on 27 Mar 2026 - 4:21

score 46 · Answer 2 · 2026-03-27 04:18:50

46

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What is the classification of the bifurcation of a tent map?

Published on 27 Mar 2026 - 4:18

score 76 · Answer 3 · 2021-04-20 18:33:51

76

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If $X\subset\mathbb R,f:X\rightarrow X: \forall I,J \subset X \exists n\in\mathbb N:J\subset f^n(I)$, then $f$ is Topologically Transitive.

Published on 20 Apr 2021 - 18:33

score 162 · Answer 4 · 2026-03-25 20:41:39

162

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Proving a dynamical system has a limit cycle

Published on 25 Mar 2026 - 20:41

score 112 · Answer 5 · 2026-03-27 04:18:43

112

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About the stability of cycles for the logistic map $x_{n+1}=rx_n(1-x_n)$

Published on 27 Mar 2026 - 4:18

score 108 · Answer 6 · 2021-05-01 18:09:53

108

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Lorenz system at 13.926

Published on 01 May 2021 - 18:09

score 164 · Answer 7 · 2026-03-27 01:47:40

164

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Using polar co-ordinates to find the fixed point of the dynamical system $x^\prime = x-y-x^{3}$ and $y^\prime = x+y-y^{3}$.

Published on 27 Mar 2026 - 1:47

score 102 · Answer 8 · 2026-03-27 01:48:05

102

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For the Hénon map $y_{n+1} = 1 - a{y}_n^{2}+bx_n$ and $x_{n+1} = y_n$, Assess the stability of the period-2 orbit when $b=0.3$ and $a=3.675$.

Published on 27 Mar 2026 - 1:48

score 97 · Answer 9 · 2026-03-27 01:48:10

97

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Use polar co-ordinates to show the fixed point of the dynamical system $x^\prime = x-y-x^{3}$ and $y^\prime = x+y-y^{3}$ has distance <2 from (0,0)

Published on 27 Mar 2026 - 1:48

score 89 · Answer 10 · 2026-03-27 03:44:16

89

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Consider the set, recursively built, starting from the unit interval and removing the first $\frac{1}{3}$ at each step. Find the similarity dimension.

Published on 27 Mar 2026 - 3:44

score 34 · Answer 11 · 2021-05-20 18:27:51

34

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Proving existence of roots

Published on 20 May 2021 - 18:27

score 92 · Answer 12 · 2021-05-25 10:23:21

92

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Measures of expanding maps of the circle and their coding

Published on 25 May 2021 - 10:23

score 87 · Answer 13 · 2026-03-27 06:08:50

87

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Equation for curves of high density in bifurcation diagram

Published on 27 Mar 2026 - 6:08

score 35 · Answer 14 · 2021-06-16 07:21:27

35

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What are the monodromy and saltation matrices of an ODE system?

Published on 16 Jun 2021 - 7:21

score 81 · Answer 15 · 2026-02-26 13:54:34

81

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Calculating the Lyapunov exponents for the seir epidemic model

Published on 26 Feb 2026 - 13:54

List Question

Neccesary condition for a family of functions to have a period-doubling bifurcation

What is the classification of the bifurcation of a tent map?

If $X\subset\mathbb R,f:X\rightarrow X: \forall I,J \subset X \exists n\in\mathbb N:J\subset f^n(I)$, then $f$ is Topologically Transitive.

Proving a dynamical system has a limit cycle

About the stability of cycles for the logistic map $x_{n+1}=rx_n(1-x_n)$

Lorenz system at 13.926

Using polar co-ordinates to find the fixed point of the dynamical system $x^\prime = x-y-x^{3}$ and $y^\prime = x+y-y^{3}$.

For the Hénon map $y_{n+1} = 1 - a{y}_n^{2}+bx_n$ and $x_{n+1} = y_n$, Assess the stability of the period-2 orbit when $b=0.3$ and $a=3.675$.

Use polar co-ordinates to show the fixed point of the dynamical system $x^\prime = x-y-x^{3}$ and $y^\prime = x+y-y^{3}$ has distance <2 from (0,0)

Consider the set, recursively built, starting from the unit interval and removing the first $\frac{1}{3}$ at each step. Find the similarity dimension.

Proving existence of roots

Measures of expanding maps of the circle and their coding

Equation for curves of high density in bifurcation diagram

What are the monodromy and saltation matrices of an ODE system?

Calculating the Lyapunov exponents for the seir epidemic model

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