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Summary.

  AUTO can do a limited bifurcation analysis of algebraic systems

  equation165

and of systems of ordinary differential equation (ODEs) of the form

  equation168

Here p denotes one or more free parameters.

It can also do certain stationary solution and wave calculations for the partial differential equation (PDE)

  equation171

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.



Gabriel Lord
Tue Jan 25 09:54:03 GMT 2000