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Within the research work in the non-linear dynamics group, the
software package AnT (Version 4.669)
was developed and implemented.
It is a gerneric simulation and Analysis
Tool
for dynamical systems.
This software package can be applied in several
scientific disciplines in both research and education areas. Hence,
the target group may be scientists and engineers as well as
lecturers, teachers and students.
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The kernel of the package allows the simulation and
analysis of a broad spectrum of dynamical systems. According to our
project, the term of a dynamical system was kept very general. Hence,
with the implemented investigation methods we are able to analyze not
only time-discrete maps, recurrent time-discrete maps, ordinary,
time-delay and functional differential equations, but also
stochastical systems, hybrid systems and even external input data,
which will be interpreted as a time series. The simulation tool allows
the investigation of dynamical systems in single-run mode or
scan-mode, which can be one- or high-dimensional. During such a scan,
not only the parameters of the investigated dynamical system can be
varied, but also the initial values as well as specific parameters of
the applied investigation methods. Hence, using the
AnT 4.669 software package, one can
investigate bifurcation scenarios, determine the basins of attraction
e.g. in the case of coexisting attractors and even find optimal parameter
settings for some specific investigation methods.
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Many investigation methods are implemented, such as general trajectory
evaluations, basic statistics, period and region analysis, spectral
analysis, principal component decomposition, symbolic sequence
evaluation, calculation of Lyapunov exponents and generalized Poincaré
sections. Furthermore the box-counting based calculation of the
invariant measure, the entropy and several fractal dimensions as well
as the symbolic image based calculation of the morse spectrum,
invariant sets and basins of attraction are available.
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To simplify the input of simulation parameters as well as
other user interactions, the simulation package provides a graphical
user interface, based on the GTK+ toolkit.
Another important feature is the possibility of automatically
distributing scan-runs among many machines, thus executing the
simulations in parallel. Therefore a client/server architecture
is used.
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The simulation package posesses an open architecture
and can be easily extended by further modules. We have already
provided the possibility to link against the external (open source)
libraries listed here. Many features are
based on proved software concepts, combining the advantages of
procedural and object-oriented programming techniques.
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Each investigation method stores its results in
corresponding data files, which can be visualized and evaluated by the
user after the simulation has completed. Furthermore, 2D and 3D
online-visualization routines are implemented, which can be used
during single-run simulations. The provided integration methods for
ordinary, delayed and even functional differential equations and the
online-visualization make the simulation package interesting not only
for scientists but also for professors and teachers.
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