But, I should add, it's no more boost than is required for CsoundAC.

Regards,
Mike

----- Original Message ----- 
From: "Victor Lazzarini" 
To: "Developer discussions" 
Sent: Thursday, May 01, 2008 4:28 AM
Subject: Re: [Cs-dev] Chua's Oscillator


> 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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