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/* chamgr.f -- translated by f2c (version 19991025).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
#include "auto_f2c.h"
/* Common Block Declarations */
extern struct {
integer itwist, istart, iequib, nfixed, npsi, nunstab, nstab, nrev;
} blhom_1;
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
/* chamgr: Champneys and Groves solitary waves. */
/* ---------------------------------------------------------------------- */
/* ---------------------------------------------------------------------- */
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, dfdp_dim1;
/* Local variables */
doublereal dhdp1, dhdq1, dhdq2, dhdp2, a, b, c;
/* ---------- ---- */
/* Function Body */
dfdu_dim1 = dfdp_dim1 = ndim;
a = par[0];
b = par[1];
c = par[2];
/* The real equation (Hamiltonian) + lambda (PAR(3)) *dH */
dhdq1 = u[0] * -1.5 * u[0] - a * u[0] + u[2] * .5 * u[2];
dhdp1 = u[2];
dhdq2 = u[1] - b * u[2] + u[0] * u[2];
dhdp2 = u[3] * 7.5;
/* \dot q_1 = q_2 */
f[0] = dhdp1 + c * dhdq1;
/* \dot p_1 = 3/2 q_1^2 + a q_1 - 1/2 q_2^2 */
f[1] = -dhdq1 + c * dhdp1;
/* \dot q_2 = 15/2 p_2 */
f[2] = dhdp2 + c * dhdq2;
/* \dot p_2 = -p_1+b q_2-q_1 q_2 */
f[3] = -dhdq2 + c * dhdp2;
if (ijac == 0) {
return 0;
}
ARRAY2D(dfdu,0,0) = c * (u[0] * -3. - a);
ARRAY2D(dfdu,0,1) = 0.;
ARRAY2D(dfdu,0,2) = c * u[2] + 1.;
ARRAY2D(dfdu,0,3) = 0.;
ARRAY2D(dfdu,1,0) = u[0] * 3. + a;
ARRAY2D(dfdu,1,1) = 0.;
ARRAY2D(dfdu,1,2) = -u[2] + c;
ARRAY2D(dfdu,1,3) = 0.;
ARRAY2D(dfdu,2,0) = c * u[2];
ARRAY2D(dfdu,2,1) = c;
ARRAY2D(dfdu,2,2) = -c * (b - u[0]);
ARRAY2D(dfdu,2,3) = 7.5;
ARRAY2D(dfdu,3,0) = -u[2];
ARRAY2D(dfdu,3,1) = -1.;
ARRAY2D(dfdu,3,2) = b - u[0];
ARRAY2D(dfdu,3,3) = c * 7.5;
if (ijac == 1) {
return 0;
}
ARRAY2D(dfdp,0,0) = -c * u[0];
ARRAY2D(dfdp,0,1) = 0;
ARRAY2D(dfdp,0,2) = dhdq1;
ARRAY2D(dfdp,1,0) = u[0];
ARRAY2D(dfdp,1,1) = 0;
ARRAY2D(dfdp,1,2) = dhdp1;
ARRAY2D(dfdp,2,0) = 0;
ARRAY2D(dfdp,2,1) = -c * u[2];
ARRAY2D(dfdp,2,2) = dhdq2;
ARRAY2D(dfdp,3,0) = 0;
ARRAY2D(dfdp,3,1) = u[2];
ARRAY2D(dfdp,3,2) = dhdp2;
return 0;
} /* func_ */
int stpnt(integer ndim, const doublereal t,
doublereal *u, doublereal *par)
{
/* Local variables */
doublereal a, b, f, s, f2, sec2, d1;
/* ---------------- */
/* 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) : */
/* Parameter adjustments */
/* Function Body */
par[1] = (sqrt(65.) + 3.) / 4.; /* B */
par[0] = (par[1] * 2. + 1.) * .6 * (par[1] - 2.); /* A */
par[2] = 0.; /* C or lambda */
par[10] = 20.;
/* ---------------------------------------------------------------------- */
/* If IEQUIB=1 then put initial equilibrium in PAR(11+i), i=0,...,NDIM-1 : */
/* truncated time interval */
if (blhom_1.iequib != 0) {
par[11] = 0.;
par[12] = 0.;
par[13] = 0.;
par[14] = 0.;
}
/* ---------------------------------------------------------------------- */
/* IF ISTART=2 then put analytic homoclinic orbit here with T in the */
/* interval [0,1] */
/* test example (a=0,b=1) */
if (blhom_1.istart == 2) {
if (blhom_1.nrev == 0) {
s = (t - .5) * par[10];
} else {
s = (t - 1.) * par[10];
}
f = sqrt((par[1] * 2. + 1.) * .75);
/* Computing 2nd power */
d1 = cosh(f * s);
sec2 = 1 / (d1 * d1);
f2 = f * f;
u[0] = f2 * 2. * sec2;
u[1] = f2 * -.13333333333333333 * f * tanh(f * s) * sec2 * (f2 * 4 -
f2 * 12. * sec2 - 15.);
u[2] = f2 * -4. * f * tanh(f * s) * sec2;
u[3] = f2 * .53333333333333333 * f2 * sec2 * (2. - sec2 * 3.);
a = par[0];
b = par[1];
/* H = -0.5D0*(U(1)+A)*U(1)*U(1)+U(2)*U(3)- */
/* + 0.5D0*(B-U(1))*U(3)*U(3)+15D0/4D0*U(4)*U(4) */
/* PRINT *, H */
}
/* ---------------------------------------------------------------------- */
/* Distance along the unstable manifold : */
if (blhom_1.istart == 3) {
par[ndim * blhom_1.iequib + 11] = -1.e-5;
}
/* ---------------------------------------------------------------------- */
/* C */
return 0;
} /* stpnt_ */
int pvls(integer ndim, const doublereal *u, doublereal *par)
{
/* Local variables */
integer i;
/* COMMON block needed if IPS=9 (homoclinic bifurcations) : */
/* If IEQUIB=0 put analytic equilibrium in PAR(11+i), i=0,...,NDIM-1 : */
/* Parameter adjustments */
/* Function Body */
for (i = 0; i < ndim; ++i) {
par[i + 11] = 0.;
}
return 0;
} /* pvls_ */
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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