List questions from nonlinear-dynamics

Published on 11 Jun 2018 - 20:05

738

Views

Show that the origin of the following system is stable (non-linear vs linear stability)

Published on 19 Jun 2018 - 8:10

1k

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Finding a Strict Lyapunov Function for $\ddot{x} + \dot{x} + x^3 = 0$

Published on 25 Mar 2026 - 3:18

105

Views

Stability of Polynomial Planar Systems (differential equations)

Published on 23 Jun 2018 - 18:22

130

Views

How to numerically solve this nonlinear differential equation with partial initial boundary condition and partial terminal boundary condition?

Published on 14 Mar 2026 - 2:22

162

Views

To classify bifurcations by calculating partial derivatives evaluated at the bifurcation point

Published on 15 Jul 2018 - 15:03

205

Views

To show that $\dot{x} = -y - x +y^2 - x^2,\; \dot{y} = xy$ has no periodic orbits.

Published on 18 Jul 2018 - 5:07

210

Views

To show that a 2D nonlinear ODE undergoes a pitchfork bifurcation

Published on 18 Jul 2018 - 10:58

76

Views

Rewriting the Landau equation

Published on 21 Mar 2026 - 23:18

651

Views

logistic map and stable cycle

Published on 21 Mar 2026 - 23:14

195

Views

Solving the recurrence relation $y_{n+1}=y_n+a+\frac{b}{y_n}$

Published on 13 Sep 2018 - 18:33

632

Views

A conserved quantity reduces the dimension of the system?

Published on 22 Mar 2026 - 21:18

300

Views

Does this dynamical system have another conserved quantity?

Published on 17 Sep 2018 - 22:24

869

Views

Differential equations - why we do care so much about (non)linearity?

Published on 26 Sep 2018 - 11:34

57

Views

Phase portrait of a nonlinear system

Published on 22 Mar 2026 - 5:01

List Question

How to express some coefficient of a generating function using only its derivatives

Show that the origin of the following system is stable (non-linear vs linear stability)

Finding a Strict Lyapunov Function for $\ddot{x} + \dot{x} + x^3 = 0$

Stability of Polynomial Planar Systems (differential equations)

How to numerically solve this nonlinear differential equation with partial initial boundary condition and partial terminal boundary condition?

To classify bifurcations by calculating partial derivatives evaluated at the bifurcation point

To show that $\dot{x} = -y - x +y^2 - x^2,\; \dot{y} = xy$ has no periodic orbits.

To show that a 2D nonlinear ODE undergoes a pitchfork bifurcation

Rewriting the Landau equation

logistic map and stable cycle

Solving the recurrence relation $y_{n+1}=y_n+a+\frac{b}{y_n}$

A conserved quantity reduces the dimension of the system?

Does this dynamical system have another conserved quantity?

Differential equations - why we do care so much about (non)linearity?

Phase portrait of a nonlinear system

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