List questions from nonlinear-dynamics

42

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 17 Sep 2022 - 19:20

150

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

Published on 19 Sep 2022 - 4:04

69

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

Published on 20 Sep 2022 - 22:10

190

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Stiff system of ODEs with known exact solutions

Published on 24 Sep 2022 - 22:04

29

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Dynamic complex multi-level loose-coupled networks

Published on 29 Sep 2022 - 14:59

56

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variation of vector field of nonlinear system along the boundary

Published on 02 Oct 2022 - 16:59

52

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

Published on 12 Oct 2022 - 3:01

42

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derivative of class KL function in Khalil Lemma 4.4

Published on 16 Oct 2022 - 13:48

46

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

Published on 18 Oct 2022 - 0:10

88

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An ODE confusion

Published on 22 Oct 2022 - 6:48

81

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Solving and plotting the 2-D Lorenz Equation

Published on 31 Oct 2022 - 20:48

119

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

Published on 30 Nov 2022 - 13:32

59

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

Published on 30 Nov 2022 - 18:36

33

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Distinguishing between chaos and multiperiodic oscillations from the Fourier spectrum

Published on 17 Dec 2022 - 15:22

51

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Applying multi-scale analysis directly on the exact solution

Published on 22 Dec 2022 - 3:03

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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