and of systems of ordinary differential equation (ODEs) of the form
Here p denotes one or more free parameters.
It can also do certain stationary solution and wave calculations for the partial differential equation (PDE)
where D denotes a diagonal matrix of diffusion constants. The basic algorithms used in the package, as well as related algorithms, can be found in HBK:77 HBK:77, HBK:86 HBK:86, DoKeKe:91a DoKeKe:91a, DoKeKe:91b DoKeKe:91b.
Below, the basic capabilities of AUTO are specified in more detail. Some representative demos are also indicated.