List questions from nonlinear-system

Published on 15 Apr 2026 - 5:33

208

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

Published on 10 May 2026 - 14:07

214

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

Published on 10 May 2026 - 14:06

89

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Finding extremals which arise from a non-linear third order ODE

Published on 13 Apr 2026 - 7:16

61

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Find a solution curve that connects a saddle point.

Published on 16 Apr 2026 - 16:22

1.3k

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Critical Points Clarification

Published on 10 May 2026 - 17:56

92

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Is the span of all invertible functions equal to the span of all functions?

Published on 14 Apr 2026 - 1:29

380

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Show that this system has a limit cycle in the first quadrant.

Published on 15 Apr 2026 - 13:23

82

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System of $n+1$ polynomial equations in $2m$ unknowns

Published on 10 May 2026 - 16:05

67

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The motion of a mass is described by $\frac{d^2 x}{dt^2} + x+x^3 = 0$. Determine how solutions of this equation behave.

Published on 14 Apr 2026 - 13:31

1k

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how to make use of t' in tx = Ax vs general case

Published on 10 May 2026 - 15:46

46

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Solving two equations iteratively

Published on 15 Apr 2026 - 3:12

96

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Show that if $\sigma = 0$ then every nonzero solution $x(t)$ is a periodic solution. Show that if $\sigma > 0$ then as $t \to \infty$, $x(t) \to 0$.

Published on 14 Apr 2026 - 11:29

346

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How do I solve this algebra problem

Published on 08 Apr 2026 - 21:27

49

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Real single solution of an algebraic nonlinear system

Published on 17 Apr 2026 - 12:02

List Question

Prove that the system with $\dot{x} = x+y-4x^3$ and $\dot{y} = y-x-4y^3$ has a limit cycle

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

Finding extremals which arise from a non-linear third order ODE

Find a solution curve that connects a saddle point.

Critical Points Clarification

Is the span of all invertible functions equal to the span of all functions?

Show that this system has a limit cycle in the first quadrant.

System of $n+1$ polynomial equations in $2m$ unknowns

The motion of a mass is described by $\frac{d^2 x}{dt^2} + x+x^3 = 0$. Determine how solutions of this equation behave.

how to make use of t' in tx = Ax vs general case

Solving two equations iteratively

Show that if $\sigma = 0$ then every nonzero solution $x(t)$ is a periodic solution. Show that if $\sigma > 0$ then as $t \to \infty$, $x(t) \to 0$.

How do I solve this algebra problem

Real single solution of an algebraic nonlinear system

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