| Does that introduce a new Boost dependency?
Victor
At 04:08 01/05/2008, you wrote:
>I have added two slightly different implementations of Chua's oscillator to
>the list of Csound opcodes. One implementation, chuap, uses a piecewise
>nonlinearity. The other implementation, cuac, uses a cubic polyonimial
>nonlinearity.
>
>Chua's oscillator is the first analog electronic circuit that was proved to
>exhibit chaotic behavior such as bifurcation, chaotic attractors, and so on.
>In the 1990s it was the focus of fairly intensive research and is still
>occasionally used in the context of radio encryption and the like.
>
>There are some videos on YouTube that demonstrate electronic forms of the
>oscillator with Lissajous plots on the oscilloscope and attractive sounds.
>
>The relevance of Chua's oscillator to computer music was explored in some
>papers and demonstrations in the 1990s.
>
>The relevance of Chua's oscillator me personally is that I really like some
>of the sounds I heard on the YouTube clips.
>
>The implementation in Csound also demonstrates the use of the OpcodeBase.hpp
>C++ wrapper for Csound opcodes, and of boost::numeric::ublas for numerical
>computing and digital signal processing. As it happens, there is a MATLAB
>package simulating Chua's oscillator, called ABC++, by James Patrick McEvoy.
>I was able to virtually cut and paste the McEvoy's MATLAB code into C++ code
>because boost::numeric::ublas::vector is coded to be used with the same
>syntax as MATLAB vectors. I suppose this is not likely to be an accident.
>There are probably a number of DSP explorations in MATLAB that could be
>adapted to Csound opcodes this way.
>
>The algorithm uses a difference equation with Runge-Kutta integration to
>simulate the circuit.
>
>I also have booked in an example with 3 sample attractors. This work is not
>finished. I need to improve the example, test the cubic nonlinearity, and
>provide a Python application with sliders to control the parameters for more
>interactive exploration of the oscillator.
>
>
>
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Victor Lazzarini
Music Technology Laboratory
Music Department
National University of Ireland, Maynooth
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