List questions from nonlinear-dynamics

Published on 31 Jul 2021 - 18:31

231

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nonlinear ODE's involving heaviside step functions: The bouncy ball as an example

Published on 08 Aug 2021 - 1:21

359

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Khalil-like book on discrete-time nonlinear systems

Published on 26 Mar 2026 - 6:25

95

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Linearization such system of ODEs

Published on 10 Aug 2021 - 8:03

237

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Linearization of the ODE system: Problems

Published on 12 Aug 2021 - 3:47

65

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Limit cycle continuation folding over itself

Published on 15 Sep 2021 - 11:14

279

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Proof of Unstability

Published on 22 Sep 2021 - 23:31

729

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Does Asymptotic Stability Imply the Existence of a Lyapunov Function for a Nonlinear System?

Published on 26 Sep 2021 - 4:41

82

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Log of heat equation: Name for the PDE $\phi_t=\phi_{xx}+\phi_x^2$

Published on 05 Oct 2021 - 20:54

129

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$\frac{\partial f}{\partial t}-\frac{k}{r^2} \left( \frac{\partial}{\partial r} \left( r^ \, \frac{\partial f}{\partial r} \right)-2f\right)+g(r,t)=0$

Published on 08 Oct 2021 - 11:23

179

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Classifying and solving a nonlinear differential algebraic equation (DAE)

Published on 25 Mar 2026 - 17:31

76

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Solve the elliptic integral $\int \frac1{\sqrt{C-x^2+\frac{x^4}2}}$ as the solution to $\ddot x + x - x^3 = 0.$

Published on 12 Oct 2021 - 11:12

1.1k

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Equation of motion through the Lagrangian with Lagrange multipliers

Published on 16 Oct 2021 - 3:18

70

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Logistic map when $2<r<3$

Published on 16 Oct 2021 - 11:31

54

Views

Conserved quantity and eigenvalues of a cyclic solution to an epidemiological system

Published on 16 Oct 2021 - 15:33

List Question

Omega Limit set containing only equilibria

nonlinear ODE's involving heaviside step functions: The bouncy ball as an example

Khalil-like book on discrete-time nonlinear systems

Linearization such system of ODEs

Linearization of the ODE system: Problems

Limit cycle continuation folding over itself

Proof of Unstability

Does Asymptotic Stability Imply the Existence of a Lyapunov Function for a Nonlinear System?

Log of heat equation: Name for the PDE $\phi_t=\phi_{xx}+\phi_x^2$

$\frac{\partial f}{\partial t}-\frac{k}{r^2} \left( \frac{\partial}{\partial r} \left( r^ \, \frac{\partial f}{\partial r} \right)-2f\right)+g(r,t)=0$

Classifying and solving a nonlinear differential algebraic equation (DAE)

Solve the elliptic integral $\int \frac1{\sqrt{C-x^2+\frac{x^4}2}}$ as the solution to $\ddot x + x - x^3 = 0.$

Equation of motion through the Lagrangian with Lagrange multipliers

Logistic map when $2<r<3$

Conserved quantity and eigenvalues of a cyclic solution to an epidemiological system

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