List questions from nonlinear-system

Published on 18 Jul 2018 - 3:18

206

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

Published on 25 Mar 2026 - 6:06

211

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

Published on 25 Mar 2026 - 7:43

86

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

Published on 18 Jul 2018 - 11:28

58

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Find a solution curve that connects a saddle point.

Published on 19 Jul 2018 - 0:10

1.3k

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Critical Points Clarification

Published on 25 Mar 2026 - 5:59

89

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

Published on 23 Jul 2018 - 23:54

377

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

Published on 24 Jul 2018 - 1:22

78

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

Published on 25 Mar 2026 - 7:05

64

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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 25 Jul 2018 - 2:06

1k

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

Published on 25 Jul 2018 - 9:32

44

Views

Solving two equations iteratively

Published on 28 Jul 2018 - 4:01

93

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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 28 Jul 2018 - 15:43

343

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How do I solve this algebra problem

Published on 28 Jul 2018 - 17:45

44

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Real single solution of an algebraic nonlinear system

Published on 29 Jul 2018 - 21:57

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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