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[Licence| Download | New Version Template] aeap_v2_0.tar.gz(6 Kbytes)
Manuscript Title: A new version of Scilab software package for the study of dynamical systems
Authors: C.C. Bordeianu, D. Felea, C. Besliu, Al. Jipa, I.V. Grossu
Program title: Chaos v2.0
Catalogue identifier: AEAP_v2_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 180(2009)2398
Programming language: Scilab 5.1.1.
Scilab 5.1.1 should be installed before running the program. Information about the installation can be found at http://wiki.scilab.org/howto/install/windows.
Computer: PC-compatible running Scilab on MS Windows or Linux.
Operating system: Windows XP, Linux.
RAM: below 150 Megabytes
Keywords: Lyapunov exponent, Kolmogorov - Sinai entropy, Power spectrum, Autocorrelation, Phase portrait, ODE, Nonlinear dynamics, Fractals.
PACS: 01.50.H-, 05.45-a.
Classification: 6.2.

Does the new version supersede the previous version?: Yes

Nature of problem:
Any physical model containing linear or nonlinear ordinary differential equations (ODE).

Solution method:
  1. Numerical solving of ordinary differential equations for the study of chaotic flows. The chaotic behavior of the nonlinear dynamical system is analyzed using Poincare sections, phase-space maps, autocorrelation functions, power spectra, Lyapunov exponents and Kolmogorov - Sinai entropies.
  2. Numerical solving of iterative equations for the study of maps and fractals.

Reasons for new version:
The program has been updated to use the new version 5.1.1 of Scilab with new graphical capabilities. Moreover, new use cases have been added which make the handling of the program easier and more efficient.

Summary of revisions:
  1. A new use case concerning coupled predator-prey models has been added.
  2. Three new use cases concerning fractals (Sierpinsky gasket, Barnsley's Fern and Tree) have been added.
  3. The graphical user interface (GUI) of the program has been reconstructed to include the new use cases.
  4. The program has been updated to use Scilab 5.1.1 with the new graphical capabilities.

Additional comments:
The program package contains 12 subprograms.
  • interface.sce - the graphical user interface (GUI) that permits the choice of a routine as follows
  • 1.sci - Lorenz dynamical system
  • 2.sci - Chua dynamical system
  • 3.sci - Rosler dynamical system
  • 4.sci - Henon map
  • 5.sci - Lyapunov exponents for Lorenz dynamical system
  • 6.sci - Lyapunov exponent for the logistic map
  • 7.sci - Shannon entropy for the logistic map
  • 8.sci - Coupled predator-prey model
  • 1f.sci - Sierpinsky gasket
  • 2f.sci - Barnsley's Fern
  • 3f.sci - Barnsley's Tree

Running time:
10 to 20 seconds for problems that do not involve Lyapunov exponents calculation; 60 to 1000 seconds for problems that involve high orders ODE, Lyapunov exponents calculation and fractals.

[1] C. C. Bordeianu, C. Besliu, Al. Jipa, D. Felea, I. V. Grossu, Comput. Phys. Comm. 178 (2008) 788
[2] S. Campbell, J.P. Chancelier, R. Nikoukhah, Modeling and Simulation in Scilab/Scicos, Springer, 2006.
[3] R.H. Landau, M.J. Paez, C.C. Bordeianu, A Survey of Computational Physics, Introductory Computational Science, Princeton University Press, 2008