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Merged
djps merged 3 commits into from
Feb 4, 2026
Merged

Continuation #1

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2d2623b
Add files via upload
djps Feb 4, 2026
079accc
Rename Makefile to continuation/Makefile
djps Feb 4, 2026
7653912
add continuation library
djps Feb 4, 2026
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6 changes: 4 additions & 2 deletions .github/workflows/makefile.yml
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Original file line number Diff line number Diff line change
Expand Up @@ -16,5 +16,7 @@ jobs:
sudo apt-get install libblas-dev liblapack-dev
- name: checkout repo
uses: actions/checkout@v3
- name: build application
run: make
- name: build shooting
run: |
cd shooting
make
4 changes: 4 additions & 0 deletions README.md
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Expand Up @@ -2,3 +2,7 @@
[![CI](https://github.com/djps/homoclinic-orbits/actions/workflows/makefile.yml/badge.svg)](https://github.com/djps/homoclinic-orbits/actions/workflows/makefile.yml)

Shooting and continuation of homoclinic orbits as localised solutions of cosserat rods.

There are two directories: shooting and continutation.

The continuation software `auto07` must be installed from github: [here](https://github.com/auto-07p/auto-07p) in order to generate bifurcation diagrams.
102 changes: 102 additions & 0 deletions continuation/Makefile
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Original file line number Diff line number Diff line change
@@ -0,0 +1,102 @@
#
# Makefile
#
PGM = mag
FC = gfortran
FFLAGS = -O
SRC = $(PGM).f
EXE = $(PGM).exe
LIBS = $(AUTO_DIR)/lib/*.o
RM = rm -f
#
all: clean $(EXE) run
#
$(EXE): $(SRC:.f=.o)
$(FC) $(FFLAGS) $(SRC:.f=.o) -o $@ $(LIBS)
#
run: first
#
first: $(EXE)
@echo " "
@echo "Program $(PGM) is started"
@echo " "
@cp $(AUTO_DIR)/include/fcon.h fcon.h
@echo "Starting conversion of $(PGM).dat : "
@echo "(Required files : $(PGM).f, r.$(PGM), $(PGM).dat)"
@f77 $(AUTO_DIR)/src/fcon.f $(PGM).f -o fcon $(AUTO_DIR)/lib/nag.o $(AUTO_DIR)/lib/eispack.o
@cp r.$(PGM) fort.2
@cp $(PGM).dat fort.3
@fcon
@mv fort.8 q.dat
@rm fcon* fort.2 fort.3
@echo " Conversion done : converted file saved as q.dat"
@echo " "
@echo "$(PGM) : first run"
@cp r.$(PGM).1 fort.2
@cp q.dat fort.3
@touch fort.3
@cp $(PGM).dat fort.4
@$(EXE)
@cp fort.7 p.$(PGM)
@cp fort.8 q.$(PGM)
@cp fort.9 d.$(PGM)
@cp fort.8 t.$(PGM)
@echo " "
@echo " Appended to *.$(PGM)"
#
second: $(EXE)
@echo " "
@echo "$(PGM) : second run"
@cp r.$(PGM).2 fort.2
@cp t.$(PGM) fort.3
@$(EXE)
@cp fort.7 p.$(PGM).2
@cp fort.8 q.$(PGM).2
@cp fort.9 d.$(PGM).2
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
@echo " "
#
third: $(EXE)
@echo " "
@echo "$(PGM) : third run "
@cp r.$(PGM).3 fort.2
@cp t.$(PGM) fort.3
@$(EXE)
@cp fort.7 p.$(PGM).3
@cp fort.8 q.$(PGM).3
@cp fort.9 d.$(PGM).3
@echo " Appended to *.$(PGM)"
@echo " "
#
fourth: $(EXE)
@echo " "
@echo "$(PGM) : forth run "
@cp r.$(PGM).4 fort.2
@cp q.$(PGM) fort.3
@$(EXE)
@cat fort.7 >> p.$(PGM)
@cat fort.8 >> q.$(PGM)
@cat fort.9 >> d.$(PGM)
@echo " Appended to *.$(PGM)"
@echo " "
#
fifth: $(EXE)
@echo " "
@echo "$(PGM) : fifth run : Limit Point Continuation with kappa, rho"
@cp r.$(PGM).5 fort.2
@cp q.$(PGM) fort.3
@$(EXE)
@cp fort.7 p.$(PGM).2
@cp fort.8 q.$(PGM).2
@cp fort.9 d.$(PGM).2
@echo " Appended to *.$(PGM)"
@echo " "
#
clean:
@echo "Cleaning $(PGM) ..."
@cp $(SRC) $(EXE)
# @$(RM) *.exe *.o p.* q.* d.* fort.* *~ core
@$(RM) *.exe *.o p.* q.* d.* *~ core
@cp r.$(PGM).1 r.$(PGM)
@echo "Cleaning ... done"
164 changes: 164 additions & 0 deletions continuation/extensibility/Makefile
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#
# Makefile
#
PGM = ext
FC = gfortran
FFLAGS = -O
SRC = $(PGM).f
EXE = $(PGM).exe
LIBS = $(AUTO_DIR)/lib/*.o
RM = rm -f
#
all: clean $(EXE) run
#
$(EXE): $(SRC:.f=.o)
$(FC) $(FFLAGS) $(SRC:.f=.o) -o $@ $(LIBS)
#
run: first second third
#
first: $(EXE)
@echo " "
@echo "Program $(PGM) is started"
@echo " "
@cp $(AUTO_DIR)/include/fcon.h fcon.h
@echo "Starting conversion of $(PGM).dat : "
@echo "(Required files : $(PGM).f, r.$(PGM), $(PGM).dat)"
@f77 $(AUTO_DIR)/src/fcon.f $(PGM).f -o fcon $(AUTO_DIR)/lib/eispack.o
@cp r.$(PGM) fort.2
@cp $(PGM).dat fort.3
@fcon
@mv fort.8 q.dat
@rm fcon* fort.2 fort.3
@echo " Conversion done : converted file saved as q.dat"
@echo " "
@echo "$(PGM) : first run"
@cp r.$(PGM).1 fort.2
@cp q.dat fort.3
@touch fort.3
@cp $(PGM).dat fort.4
@$(EXE)
@cp fort.7 p.$(PGM).1
@cp fort.8 q.$(PGM).1
@cp fort.9 d.$(PGM).1
@cp q.$(PGM).1 t.$(PGM).1
@echo " Saved as *.$(PGM)"
@$(RM) fort.*
@echo " Appended to *.$(PGM)"
#
second: $(EXE)
@echo " "
@echo "$(PGM) : second run"
@cp r.$(PGM).2 fort.2
@cp q.$(PGM).1 fort.3
@$(EXE)
@cp fort.7 p.$(PGM).2
@cp fort.8 q.$(PGM).2
@cp fort.9 d.$(PGM).2
@cp q.$(PGM).2 t.$(PGM).2
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
#
third: $(EXE)
@echo " "
@echo "$(PGM) : third run"
@cp r.$(PGM).3 fort.2
@cp q.$(PGM).2 fort.3
@$(EXE)
@cp fort.7 p.$(PGM).3
@cp fort.8 q.$(PGM).3
@cp fort.9 d.$(PGM).3
@cp q.$(PGM).3 t.$(PGM).3
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
#
fourth: $(EXE)
@echo " "
@echo "$(PGM) : fourth run"
@cp r.$(PGM).4 fort.2
@cp t.$(PGM) fort.3
@$(EXE)
@cat fort.7 >> p.$(PGM)
@cat fort.8 >> q.$(PGM)
@cat fort.9 >> d.$(PGM)
@cp q.$(PGM) t.$(PGM).1
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
#
fifth: $(EXE)
@echo " "
@echo "$(PGM) : fifth run"
@cp r.$(PGM).5 fort.2
@cp t.$(PGM).1 fort.3
@$(EXE)
@cp fort.7 p.$(PGM).5
@cp fort.8 q.$(PGM).5
@cp fort.9 d.$(PGM).5
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
#
sixth: $(EXE)
@echo " "
@echo "$(PGM) : sixth run"
@cp r.$(PGM).6 fort.2
@cp t.$(PGM).1 fort.3
@$(EXE)
@cat fort.7 >> p.$(PGM).5
@cat fort.8 >> q.$(PGM).5
@cat fort.9 >> d.$(PGM).5
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
#
seventh:$(EXE)
@echo " "
@echo "$(PGM) : seventh run"
@cp r.$(PGM).7 fort.2
@cp t.$(PGM).1 fort.3
@$(EXE)
@cp fort.7 p.$(PGM).7
@cp fort.8 q.$(PGM).7
@cp fort.9 d.$(PGM).7
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
#
eighth:$(EXE)
@echo " "
@echo "$(PGM) : eighth run"
@cp r.$(PGM).8 fort.2
@cp t.$(PGM).1 fort.3
@$(EXE)
@cat fort.7 >> p.$(PGM).7
@cat fort.8 >> q.$(PGM).7
@cat fort.9 >> d.$(PGM).7
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
#
ninth:$(EXE)
@echo " "
@echo "$(PGM) : ninth run"
@cp r.$(PGM).9 fort.2
@cp t.$(PGM).1 fort.3
@$(EXE)
@cp fort.7 p.$(PGM).9
@cp fort.8 q.$(PGM).9
@cp fort.9 d.$(PGM).9
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
#
tenth:$(EXE)
@echo " "
@echo "$(PGM) : tenth run"
@cp r.$(PGM).10 fort.2
@cp t.$(PGM).1 fort.3
@$(EXE)
@cat fort.7 >> p.$(PGM).9
@cat fort.8 >> q.$(PGM).9
@cat fort.9 >> d.$(PGM).9
@echo " Appended to *.$(PGM)"
@$(RM) fort.*
#
clean:
@echo "Cleaning $(PGM) ..."
@cp $(SRC) $(EXE)
@$(RM) *.exe *.o p.* q.* d.* fort.* *~ core
@cp r.$(PGM).1 r.$(PGM)
@echo "Cleaning ... done"
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