Restrictions on Problem Size.

  There are size restrictions in the file auto/97/include/auto.h on the following AUTO-constants : the effective problem dimension NDIM, the number of collocation points NCOL, the number of mesh intervals NTST, the effective number of boundary conditions NBC, the effective number of integral conditions NINT, the effective number of equation parameters NPAR, the number of stored branch points NBIF for algebraic problems, and the number of user output points NUZR. See Chapter 6 for the significance these constants. Their maxima are denoted by the corresponding constant followed by an X. For example, NDIMX in auto.h denotes the maximum value of NDIM. If any of these maxima is exceeded in an AUTO-run then a message will be printed. The exception is the the maximum value of NPAR, which, if exceeded, may lead to unreported errors. Upon installation NPARX=36; it should never be decreased below that value; see also Section 7.1. Size restrictions can be changed by editing auto.h. This must be followed by recompilation by typing make in directory auto/97/src. It is strongly recommended that NCOLX=4 be used, and that the value of NDIMX and NTSTX be chosen as small as possible for the intended application of AUTO.

Note that in certain cases the effective dimension may be greater than the user dimension. For example, for the continuation of folds, the effective dimension is 2NDIM+1 for algebraic equations, and 2NDIM for ordinary differential equations, respectively. Similarly, for the continuation of Hopf bifurcations, the effective dimension is 3NDIM+2.