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Category: Software for continuation

CANDYS/QA

CANDYS/QA is a software package for numerical bifurcation analysis of dynamical systems; its name is an abbreviation of Computer Analysis of Nonlinear DYnamical Systems/Qualitative Analysis.

The package is written for autonomous systems, periodically forced systems, and autonomous systems with discrete time steps. CANDYS/QA computes equilibria and periodic orbits and determines their stability. Furthermore, CANDYS/QA can follow these solutions in parameter space and it detects and computes codimension-1, codimension-2, and some kinds of higher order codimension bifurcation points.

CANDYS/QA has a few special features compared to, for example, the continuation package AUTO, and it is similar to CONTENT.

• CANDYS/QA includes a book-keeping of the structure of the bifucation graphs obtained so far, which allows an easy start of continuation at interesting points.
• The package allows to compute bifurcation curves of higher codimension defined by the combination of different bifurcation types, e.g. simultaneously a cusp and a Hopf bifurcation.

The latest version of CANDYS/QA is written in C++. User's manual, source codes, and installation guide can be downloaded.

Contact person for CANDYS/QA is Wolfgang Jansen ( wjansen@agnld.uni-potsdam.de)

References

• Feudel, Ulrike and Jansen, Wolfgang
  "CANDYS/QA - A Software System for the Qualitative Analysis of Nonlinear Dynamical Systems"
  Intern. J. for Bifurcation & Chaos 2 : 773-794, 1992.
  
  
• Jansen, Wolfgang
  "CANDYS/QA: Algorithms, Programs, and User's Manual"
  Technical report, Interdisziplinäres Zentrum fuer nichtlineare Dynamik, Universität Potsdam, NLD-027, 1995.