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# Lienard system

A *Lienard system* is a planar ordinary differential equation

$\displaystyle\dot{x}$ | $\displaystyle=$ | $\displaystyle y-f(x)$ | ||

$\displaystyle\dot{y}$ | $\displaystyle=$ | $\displaystyle-g(x)$ |

with conditions on the smoothness of $f$ and $g$. It is equivalent to the following second order ordinary differential equation

$\ddot{x}+f^{{\prime}}(x)\dot{x}+g(x)=0.$ |

Example:

# References

- P
Perko, Lawrence,
*Differential Equations and Dynamical Systems*, Springer, New York, 2001.

Defines:

Lienard equation

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Definition

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Reference

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34-00*no label found*

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new question: Prime numbers out of sequence by Rubens373

Oct 7

new question: Lorenz system by David Bankom

Oct 19

new correction: examples and OEIS sequences by fizzie

Oct 13

new correction: Define Galois correspondence by porton

Oct 7

new correction: Closure properties on languages: DCFL not closed under reversal by babou

new correction: DCFLs are not closed under reversal by petey

Oct 2

new correction: Many corrections by Smarandache

Sep 28

new question: how to contest an entry? by zorba

new question: simple question by parag