List questions from nonlinear-dynamics

45

Views

Prove that there exists $\delta \in(0, \infty)$ such that when $y(0)=\delta$, the solution to the ODE for $y$ loses uniqueness in finite positive time

Published on 12 Apr 2026 - 10:00

153

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Nature of ODE $\dot x=x^2-\frac{t^2}{1+t^2}$

Published on 17 Apr 2026 - 11:46

74

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Stable set for $f(x) = \frac{\pi}{2}\sin(x)$

Published on 16 Apr 2026 - 21:19

193

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Stiff system of ODEs with known exact solutions

Published on 12 Apr 2026 - 22:09

32

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Dynamic complex multi-level loose-coupled networks

Published on 13 Apr 2026 - 9:28

59

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variation of vector field of nonlinear system along the boundary

Published on 13 Apr 2026 - 22:29

55

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Calculate the value of $G$ as a combined proportions of $A$, $B$ and $C$

Published on 17 Apr 2026 - 15:51

45

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derivative of class KL function in Khalil Lemma 4.4

Published on 14 Apr 2026 - 15:52

49

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Which figure is homeomorphic to the figure only constructed by all the edges of a cube?

Published on 16 Apr 2026 - 15:21

91

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An ODE confusion

Published on 14 Apr 2026 - 10:43

84

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Solving and plotting the 2-D Lorenz Equation

Published on 14 Apr 2026 - 0:08

122

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How to control motor shaft so that the angular speed is constant?

Published on 13 Apr 2026 - 4:44

62

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What can we say about the stability of this equilibrium with purely imaginary eigenvalues?

Published on 12 Apr 2026 - 8:35

36

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Distinguishing between chaos and multiperiodic oscillations from the Fourier spectrum

Published on 15 Apr 2026 - 14:25

54

Views

Applying multi-scale analysis directly on the exact solution

Published on 10 Apr 2026 - 13:29

List Question

Prove that there exists $\delta \in(0, \infty)$ such that when $y(0)=\delta$, the solution to the ODE for $y$ loses uniqueness in finite positive time

Nature of ODE $\dot x=x^2-\frac{t^2}{1+t^2}$

Stable set for $f(x) = \frac{\pi}{2}\sin(x)$

Stiff system of ODEs with known exact solutions

Dynamic complex multi-level loose-coupled networks

variation of vector field of nonlinear system along the boundary

Calculate the value of $G$ as a combined proportions of $A$, $B$ and $C$

derivative of class KL function in Khalil Lemma 4.4

Which figure is homeomorphic to the figure only constructed by all the edges of a cube?

An ODE confusion

Solving and plotting the 2-D Lorenz Equation

How to control motor shaft so that the angular speed is constant?

What can we say about the stability of this equilibrium with purely imaginary eigenvalues?

Distinguishing between chaos and multiperiodic oscillations from the Fourier spectrum

Applying multi-scale analysis directly on the exact solution

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