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!----------------------------------------------------------------------
!----------------------------------------------------------------------
! cir : Homoclinic Bifurcation in an Electronic Circuit
! (the same equations as in demo tor)
!----------------------------------------------------------------------
!----------------------------------------------------------------------
SUBROUTINE FUNC(NDIM,U,ICP,PAR,IJAC,F,DFDU,DFDP)
! ---------- ----
IMPLICIT NONE
INTEGER, INTENT(IN) :: NDIM, ICP(*), IJAC
DOUBLE PRECISION, INTENT(IN) :: U(NDIM), PAR(*)
DOUBLE PRECISION, INTENT(OUT) :: F(NDIM)
DOUBLE PRECISION, INTENT(INOUT) :: DFDU(NDIM,NDIM), DFDP(NDIM,*)
DOUBLE PRECISION rn,be,ga,r,a3,b3,x,y,z
rn=PAR(1)
be=PAR(2)
ga=PAR(3)
r =PAR(4)
a3=PAR(5)
b3=PAR(6)
x=U(1)
y=U(2)
z=U(3)
F(1)= ( -(be+rn)*x + be*y - a3*x**3 + b3*(y-x)**3 )/r
F(2)= be*x - (be+ga)*y - z - b3*(y-x)**3
F(3)= y
IF(IJAC.EQ.0)RETURN
DFDU(1,1)=( -(be+rn) -3*a3*x**2 - 3*b3*(y-x)**2 )/r
DFDU(1,2)=( be + 3*b3*(y-x)**2 )/r
DFDU(1,3)=0
DFDU(2,1)=be + 3*b3*(y-x)**2
DFDU(2,2)=-(be+ga) - 3*b3*(y-x)**2
DFDU(2,3)=-1
DFDU(3,1)=0
DFDU(3,2)=1
DFDU(3,3)=0
IF(IJAC.EQ.1)RETURN
! *Parameter derivatives
DFDP(1,1)=-x/r
DFDP(2,1)=0
DFDP(3,1)=0
DFDP(1,2)=( -x + y )/r
DFDP(2,2)=x-y
DFDP(3,2)=0
DFDP(1,3)=0
DFDP(2,3)=-y
DFDP(3,3)=0
DFDP(1,4)=-F(1)/r
DFDP(2,4)=0
DFDP(3,4)=0
DFDP(1,5)=x**3/r
DFDP(2,5)=0
DFDP(3,5)=0
DFDP(1,6)=(y-x)**3 / r
DFDP(2,6)=-(y-x)**3
DFDP(3,6)=0
END SUBROUTINE FUNC
SUBROUTINE STPNT(NDIM,U,PAR,T)
! ---------- -----
IMPLICIT NONE
INTEGER, INTENT(IN) :: NDIM
DOUBLE PRECISION, INTENT(INOUT) :: U(NDIM),PAR(*)
DOUBLE PRECISION, INTENT(IN) :: T
!----------------------------------------------------------------------
! Problem parameters (only PAR(1-9) are available to the user) :
PAR(1)=-0.721309D0 ! nu
PAR(2)=0.6 ! beta
PAR(3)=0.0 ! gamma
PAR(4)=0.6 ! r
PAR(5)=0.328578 ! a_3
PAR(6)=0.933578 ! b_3
PAR(11)=36.13 ! Truncated time interval
!----------------------------------------------------------------------
! If IEQUIB >0 put initial equilibrium in PAR(11+i), i=1,...,NDIM :
PAR(12) = 0.0
PAR(13) = 0.0
PAR(14) = 0.0
END SUBROUTINE STPNT
SUBROUTINE PVLS(NDIM,U,PAR)
! ---------- ----
IMPLICIT NONE
INTEGER, INTENT(IN) :: NDIM
DOUBLE PRECISION, INTENT(IN) :: U(NDIM)
DOUBLE PRECISION, INTENT(INOUT) :: PAR(*)
! Homoclinic bifurcations COMMON block needed here :
INTEGER ITWIST,ISTART,IEQUIB,NFIXED,NPSI,NUNSTAB,NSTAB,NREV
COMMON /BLHOM/ ITWIST,ISTART,IEQUIB,NFIXED,NPSI,NUNSTAB,NSTAB,NREV
INTEGER I
! If IEQUIB =0 put analytic equilibrium in PAR(11+i), i=1..NDIM
IF(IEQUIB.EQ.0)THEN
DO I=1,NDIM
PAR(11+I)= 0.0
ENDDO
ENDIF
END SUBROUTINE PVLS
SUBROUTINE BCND
END SUBROUTINE BCND
SUBROUTINE ICND
END SUBROUTINE ICND
SUBROUTINE FOPT
END SUBROUTINE FOPT
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