Lienard system
A Lienard system is a planar ordinary differential equation^{}
$\dot{x}$ | $=$ | $y-f(x)$ | ||
$\dot{y}$ | $=$ | $-g(x)$ |
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.
Title | Lienard system |
---|---|
Canonical name | LienardSystem |
Date of creation | 2013-03-22 15:20:45 |
Last modified on | 2013-03-22 15:20:45 |
Owner | Daume (40) |
Last modified by | Daume (40) |
Numerical id | 6 |
Author | Daume (40) |
Entry type | Definition |
Classification | msc 34-00 |
Defines | Lienard equation |