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 equivalentto 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.