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A software package for the simulation and investigation of dynamical
systems called AnT 4.669 will be presented in this paper. Due to its
flexible architecture, the AnT 4.669 software package is able to
cope with dynamical systems belonging to various classes, such as
ordinary and recurrent maps, ordinary, delayed, functional and
partial differential equations currently with only one spatial
component. Further supported classes are: coupled maps, coupled
ordinary and delayed differential equations lattices as well as
hybrid systems, stochastic systems and external data. Many
investigation methods are implemented in the AnT 4.669 software
package, like for instance general trajectory evaluations, basic
statistics, period and region analysis, calculation of bifurcation
diagrams, spectral analysis, principal component decomposition,
symbolic sequence evaluation and the calculation of Lyapunov
exponents using two different algorithms. Additionally a generalized
implementation of Poincaré sections and Poincaré return maps
exists, with several pre-implemented conditions and an additional
possibility with a user defined condition. Furthermore, the
box-counting based calculation of the invariant measure, the entropy
and several fractal dimensions are available. Additionally, a
collection of investigation methods based on the calculation of the
symbolic image of a dynamical system is implemented. Using these
methods, one is able to determine stable and unstable invariant
sets, stable and unstable manifolds of fixed points and periodic
orbits, as well as basins of attraction. For dynamical systems
discrete in time, the calculation of backward orbits is implemented.
Another important feature of the AnT 4.669 software package, is the
capability to perform so-called scan runs, that is the ability to
investigate a dynamical system by varying one, two or even more
relevant influence quantities, such as the control parameters,
initial values, or even some parameters of the investigation
methods, which is interesting in the context of optimizing the
results obtained by an investigation method. When dealing with scans
in high-dimensional parameter and/or state spaces, a significant
advantage of the AnT 4.669 software package is the distributed
computing capability. This capability is based on a client/server
architecture and allows the calculation of time consuming scan runs
on an arbitrary number of computing nodes (both, in homogeneous
clusters as well as in heterogeneous networks).
The AnT 4.669 software package possesses also an interactive
visualization module, based on the OpenGL standard, which supports
animations of trajectories and an intuitive graphical user
front-end, that guides a user of the system through the complex
initialization phase of a simulation run.
Finally there exists a web front-end to the AnT computation engine,
which allows the remote execution of simulation runs.
AnT 4.669 is free software (published under the GPL) and is
available for several UNIX as well as Windows platforms. More
information about the AnT-project can be found on the website:
www.AnT4669.de.
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