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#include "auto_f2c.h"
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
/* hom : Homoclinic bifurcations in general test example equation */
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
int func (integer ndim, const doublereal *u, const integer *icp,
const doublereal *par, integer ijac,
doublereal *f, doublereal *dfdu, doublereal *dfdp)
{
/* System generated locals */
integer dfdu_dim1 = ndim;
integer dfdp_dim1 = ndim;
double a = par[0];
double b = par[1];
double c = par[2];
double alpha = par[3];
double mu = par[4];
double x = u[0];
double y = u[1];
double z = u[2];
f[0] = a * x + b * y - a * x * x - alpha * z * x * (2. - x * 3.);
f[1] = b * x + a * y - 1.5 * x * (b * x + a * y) + alpha * z * 2. * y;
f[2] = c * z + mu * x + 3.0 * x * z + alpha * (x * x * (1. - x) - y * y);
if (ijac == 0) {
return 0;
}
ARRAY2D(dfdu,0,0) = a - a * 2. * x - alpha * z * (2. - x * 6.);
ARRAY2D(dfdu,0,1) = b;
ARRAY2D(dfdu,0,2) = -alpha * x * (2. - x * 3.);
ARRAY2D(dfdu,1,0) = b - b * 3. * x - a * 1.5 * y;
ARRAY2D(dfdu,1,1) = a - a * 1.5 * x + alpha * z * 2.;
ARRAY2D(dfdu,1,2) = alpha * 2. * y;
ARRAY2D(dfdu,2,0) = mu + 3.0 * z + alpha * x * (2. - x * 3.);
ARRAY2D(dfdu,2,1) = alpha * -2. * y;
ARRAY2D(dfdu,2,2) = c + 3.0 * x;
if (ijac == 1) {
return 0;
}
ARRAY2D(dfdp,0,0) = x - x * x;
ARRAY2D(dfdp,0,1) = y;
ARRAY2D(dfdp,0,2) = 0;
ARRAY2D(dfdp,0,3) = -z * x * (2. - x * 3.);
ARRAY2D(dfdp,0,4) = 0;
ARRAY2D(dfdp,1,0) = y - 1.5 * x * y;
ARRAY2D(dfdp,1,1) = x - 1.5 * x * x;
ARRAY2D(dfdp,1,2) = 0;
ARRAY2D(dfdp,1,3) = z * 2. * y;
ARRAY2D(dfdp,1,4) = 0;
ARRAY2D(dfdp,2,0) = 0;
ARRAY2D(dfdp,2,1) = 0;
ARRAY2D(dfdp,2,2) = z;
ARRAY2D(dfdp,2,3) = x * x * (1. - x) - y * y;
ARRAY2D(dfdp,2,4) = x;
return 0;
}
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
int stpnt (integer ndim, doublereal t,
doublereal *u, doublereal *par)
{
doublereal s;
/* Sets parameter values for homoclinic bifurcation analysis (IPS=9). */
/* COMMON block needed if IPS=9 (homoclinic bifurcations) : */
/* ----------------------------------------------------------------------
*/
/* Problem parameters (only PAR(1-9) are available to the user) : */
/* a */
par[0] = 0.;
/* b */
par[1] = 0.625;
/* c */
par[2] = -2.5;
/* alpha */
par[3] = 0;
/* mu */
par[4] = 0.;
/* initial equilibrium */
u[0] = 2./3.;
u[1] = 0;
u[2] = 0;
return 0;
}
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
int pvls (integer ndim, const doublereal *u,
doublereal *par)
{
return 0;
}
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
int bcnd (integer ndim, const doublereal *par, const integer *icp,
integer nbc, const doublereal *u0, const doublereal *u1, integer ijac,
doublereal *fb, doublereal *dbc)
{
return 0;
}
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
int icnd (integer ndim, const doublereal *par, const integer *icp,
integer nint, const doublereal *u, const doublereal *uold,
const doublereal *udot, const doublereal *upold, integer ijac,
doublereal *fi, doublereal *dint)
{
return 0;
}
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
int fopt (integer ndim, const doublereal *u, const integer *icp,
const doublereal *par, integer ijac,
doublereal *fs, doublereal *dfdu, doublereal *dfdp)
{
return 0;
}
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
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