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Isochronous bifurcations dependence on the driving mode phase shift in two-harmonic standard maps

Overview

   Project name: Isochronous bifurcations dependence on the driving mode phase shift in two-harmonic standard maps
        Author : Michele Mugnaine  
           Date: 30/April/2025

Contact: mmugnaine@gmail.com

Description:

Code and data repository accompanying the publication "Isochronous bifurcations dependence on the driving mode phase shift in two-harmonic standard maps".

The codes and data are available in the file "CodesAndData.zip".

Requirements

Fortran compiler (gfortran, ifort, ...).

Figure 1

Folder Figure1 :

To obtain the data related to the phase spaces in Figure 1, run: $ gfortran Figure1.f90; ./a.out .

The initial conditions for each phase space are in files IC_a1.dat, IC_a2.dat, IC_a3.dat, IC_b1.dat, IC_b2.dat and IC_b3.dat.

Figure 2

Folder Figure2 :

The data related to the parameter spaces in Figure 2 are available in the following files:
- m1_1_m2_4_phi_0.dat
- m1_1_m2_4_phi_pi.dat
- m1_1_m2_4_phi_pi-2.dat.

The data can be obtained using the algorithm Figure2.f90 by running: $ gfortran Figure2.f90; ./a.out .

Figure 3

Folder Figure3 :

The data related to the parameter spaces in Figure 3 are available in the following files:
- m1_1_m2_5_phi_0.dat
- m1_1_m2_5_phi_pi.dat
- m1_1_m2_5_phi_pi-2.dat.

The data can be obtained using the algorithm Figure3.f90 by running: $ gfortran Figure3.f90; ./a.out .

Figure 4

Folder Figure4 :

The data related to the parameter spaces in Figure 4 are available in the following files:
- m1_4_m2_5.dat

The data can be obtained using the algorithm Figure4.f90 by running: $ gfortran Figure4.f90; ./a.out .

Figure 5

Folder Figure 5

To obtain the data related to the bifurcation diagrams in Figure 5(a1), 5(a2), and 5(a3), run: $ gfortran Diagram.f90; ./a.out .

For the phase spaces in Figure 5(b1), 5(c1), and 5(d1), run: $ gfortran PhaseSpaces1.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b1.dat, IC_c1.dat, IC_d1.dat.

For the phase spaces in Figure 5(b2), 5(c2), and 5(d2), run: $ gfortran PhaseSpaces2.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b2.dat, IC_c2.dat, IC_d2.dat.

For the phase spaces in Figure 5(b3), 5(c3), and 5(d3), run: $ gfortran PhaseSpaces3.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b3.dat, IC_c3.dat, IC_d3.dat.

Figure 6

Folder Figure 6

The data related to the bifurcation diagrams in Figure 6(a1), 6(a2), and 6(a3) can be obtained by runnig: $ gfortran Diagram.f90; ./a.out .

For the phase spaces in Figure 6(b1), 6(c1), and 6(d1), run: $ gfortran PhaseSpaces1.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b1.dat, IC_c1.dat, IC_d1.dat.

For the phase spaces in Figure 6(b2), 6(c2), and 6(d2), run: $ gfortran PhaseSpaces2.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b2.dat, IC_c2.dat, IC_d2.dat.

For the phase spaces in Figure 6(b3), 6(c3), and 6(d3), run: $ gfortran PhaseSpaces3.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b3.dat, IC_c3.dat, IC_d3.dat.

Figure 7

Folder Figure 7

The bifurcation diagrams in Figure 7(a1), 7(a2), and 7(a3) can be obtained by runnig: $ gfortran Diagram.f90; ./a.out .

For the phase spaces in Figure 7(b1),and 7(c1), run: $ gfortran PhaseSpaces1.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b1.dat and IC_c1.dat.

For the phase spaces in Figure 7(b2), and 7(c2), run: $ gfortran PhaseSpaces2.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b2.dat and IC_c2.dat.

For the phase spaces in Figure 7(b3), and 7(c3), run: $ gfortran PhaseSpaces3.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b3.dat and IC_c3.dat.

Figure 8

Folder Figure 8

The internal winding number profiles in Figure 8(a1), 8(a2), and 8(a3) can be obtained by runnig: $ gfortran Win.f90; ./a.out .

For the phase spaces in Figure 8(b1),and 8(b2), and 8(b3), run: $ gfortran PhaseSpaces.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b1.dat, IC_b2.dat, and IC_b3.dat.

Figure 9

Folder Figure 9

The internal winding number profiles in Figure 9(a1), 9(a2), and 9(a3) can be obtained by runnig: $ gfortran Win.f90; ./a.out .

For the phase spaces in Figure 9(b1),and 9(b2), and 9(b3), run: $ gfortran PhaseSpaces.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b1.dat, IC_b2.dat, and IC_b3.dat.

Figure 10

Folder Figure 10

The internal winding number profiles in Figure 10(a1), 10(a2), and 10(a3) can be obtained by runnig: $ gfortran Win.f90; ./a.out .

For the phase spaces in Figure 10(b1),and 10(b2), and 10(b3), run: $ gfortran PhaseSpaces.f90; ./a.out .
- The initial conditions for each phase space are in files IC_b1.dat, IC_b2.dat, and IC_b3.dat.