Question

Can $x(t) = Acos(at^2+b)$ be interpreted as a generic chaotic trajectory of some dynamical system?

score 46 · Answer 1 · 2021-04-01 14:54:42

46

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Can $x(t) = Acos(at^2+b)$ be interpreted as a generic chaotic trajectory of some dynamical system?

Published on 01 Apr 2021 - 14:54

score 30 · Answer 2 · 2021-04-01 15:58:25

30

Views

Assume $f(x)$ is a 1D map exhibiting a period-3 orbit P. Then is P a period 3 orbit of $f(f(x))$?

Published on 01 Apr 2021 - 15:58

score 88 · Answer 3 · 2021-04-09 08:14:46

88

Views

Rate of convergence in nonlinear system with unknown steady-state

Published on 09 Apr 2021 - 8:14

score 105 · Answer 4 · 2021-04-10 05:17:43

105

Views

Problem with the continuous equivalent of Newton's method optimization

Published on 10 Apr 2021 - 5:17

score 31 · Answer 5 · 2021-04-10 20:45:36

31

Views

Why are continuous partial derivatives up to order two (rather than one) of nonlinear autonomous (2D) systems sufficient for linear approximation?

Published on 10 Apr 2021 - 20:45

score 504 · Answer 6 · 2021-04-13 12:01:29

504

Views

Linearization of a fixed point (dynamical systems)

Published on 13 Apr 2021 - 12:01

score 178 · Answer 7 · 2021-04-14 16:25:18

178

Views

Dynamical System that exhibits a fold bifurcation of Limit Tori?

Published on 14 Apr 2021 - 16:25

score 136 · Answer 8 · 2021-04-17 14:28:47

136

Views

How can I find the fixed points of this Duffing oscillator differential equation?

Published on 17 Apr 2021 - 14:28

score 48 · Answer 9 · 2021-04-18 14:39:37

48

Views

Asymptotic Output Tracking - Where to Place the Input Control Signal?

Published on 18 Apr 2021 - 14:39

score 48 · Answer 10 · 2026-03-25 02:57:20

48

Views

Nonlinear system with time-optimal control

Published on 25 Mar 2026 - 2:57

score 237 · Answer 11 · 2021-04-29 03:25:30

237

Views

How to know when a transcritical bifurcation occurs (Example 3.2.1 Strogaz Nonlinear Dynamics and chaos)

Published on 29 Apr 2021 - 3:25

score 87 · Answer 12 · 2021-05-05 15:15:00

87

Views

Dynamics of the gain/attenuation $k(t)$ in the ODE-system

Published on 05 May 2021 - 15:15

score 163 · Answer 13 · 2021-05-12 09:38:13

163

Views

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 12 May 2021 - 9:38

score 101 · Answer 14 · 2021-05-13 11:48:10

101

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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 13 May 2021 - 11:48

score 96 · Answer 15 · 2021-05-13 12:55:31

96

Views

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 13 May 2021 - 12:55

List Question

Can $x(t) = Acos(at^2+b)$ be interpreted as a generic chaotic trajectory of some dynamical system?

Assume $f(x)$ is a 1D map exhibiting a period-3 orbit P. Then is P a period 3 orbit of $f(f(x))$?

Rate of convergence in nonlinear system with unknown steady-state

Problem with the continuous equivalent of Newton's method optimization

Why are continuous partial derivatives up to order two (rather than one) of nonlinear autonomous (2D) systems sufficient for linear approximation?

Linearization of a fixed point (dynamical systems)

Dynamical System that exhibits a fold bifurcation of Limit Tori?

How can I find the fixed points of this Duffing oscillator differential equation?

Asymptotic Output Tracking - Where to Place the Input Control Signal?

Nonlinear system with time-optimal control

How to know when a transcritical bifurcation occurs (Example 3.2.1 Strogaz Nonlinear Dynamics and chaos)

Dynamics of the gain/attenuation $k(t)$ in the ODE-system

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)

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