List questions from nonlinear-dynamics

Published on 15 Apr 2026 - 18:40

234

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

Published on 10 Apr 2026 - 16:46

359

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Khalil-like book on discrete-time nonlinear systems

Published on 26 Mar 2026 - 6:25

98

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Linearization such system of ODEs

Published on 14 Apr 2026 - 16:40

240

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Linearization of the ODE system: Problems

Published on 13 Apr 2026 - 21:53

68

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Limit cycle continuation folding over itself

Published on 12 Apr 2026 - 10:56

282

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Proof of Unstability

Published on 08 Apr 2026 - 17:29

732

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

Published on 11 Apr 2026 - 12:35

85

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

Published on 17 Apr 2026 - 8:51

132

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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 15 Apr 2026 - 23:42

180

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Classifying and solving a nonlinear differential algebraic equation (DAE)

Published on 11 May 2026 - 10:00

79

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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 16 Apr 2026 - 10:35

1.1k

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Equation of motion through the Lagrangian with Lagrange multipliers

Published on 08 Apr 2026 - 22:50

73

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Logistic map when $2<r<3$

Published on 14 Apr 2026 - 1:45

57

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

Published on 12 Apr 2026 - 6:20

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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