This second version of ChuaSynth music is pretty wild
I had posted the below abstract on my old gnn blog back in 2005. Below is the follow up from this research -- whereby a totally new chaos-generated Matrix A.I. reality is modeled as navigated by the ChuaSynth, an interactive chaotic music generator device.
Title: Reading complexity in Chua’s oscillator through music. Part 1: A new way of understanding chaos
Author(s): Bilotta E, Gervasi S, Pantano P
Source: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 15 (2): 253-382 FEB 2005
Document Type: Review
Language: English
Cited References: 118 Times Cited: 0
Abstract: Modern Science is finding new methods of looking at biological, physical or social phenomena. Traditional methods of quantification are no longer sufficient and new approaches are emerging. These approaches make it apparent that the phenomena the observer is looking at are not classifiable by conventional methods. These phenomena are complex. A complex system, as Chua’s oscillator, is a nonlinear configuration whose dynamical behavior is chaotic. Chua’s oscillator equations allow to define the basic behavior of a dynamical system and to detect the changes in the qualitative behavior of a system when bifurcation occurs, as parameters are varied. The typical set of behavior of a dynamical system can be detailed as equilibrium points, limit cycles, strange attractors. The concepts, methods and paradigms of Dynamical Systems Theory can be applied to understand human behavior. Human behavior is emergent and behavior patterns emerge thanks to the way the parts or the processes are coordinated among themselves. In fact, the listening process in humans is complex and it develops over time as well. Sound and music can be both inside and outside humans. This tutorial concerns the translation of Chua’s oscillators into music, in order to find a new way of understanding complexity by using music. By building up many computational models which allow the translation of some quantitative features of Chua’s oscillator into sound and music, we have created many acoustical and musical compositions, which in turn present the characteristics of dynamical systems from a perceptual point of view. We have found interesting relationships between dynamical systems behavior and their musical translation since, in the process of listening, human subjects perceive many of the structures as possible to perceive in the behavior of Chua’s oscillator. In other words, human cognitive abilities can analyze the large and complicated patterns produced by Chua’s systems translated into music, achieving the cognitive economy and the coordination and synthesis of countless data at our disposal that occur in the perception of dynamic events in the real world. Music can be considered the semantics of dynamical systems, which gives us a powerful method for interpreting complexity.
Author Keywords: Chaos; Chua’s oscillator; sounds and music
KeyWords Plus: DOUBLE SCROLL; UNIVERSAL CIRCUIT; CELLULAR AUTOMATA; GENERATING CHAOS; ARTIFICIAL LIFE; SYSTEMS; COMPUTER; HARMONY; PITCH; REPRESENTATION
Addresses: Bilotta E (reprint author), Univ Calabria, Dept Linguist, Commenda Di Rende, I-87030 Italy
Univ Calabria, Dept Linguist, Commenda Di Rende, I-87030 Italy
Univ Calabria, Dept Math, Commenda Di Rende, I-87030 Italy
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Subject Category: MATHEMATICS, APPLIED; MULTIDISCIPLINARY SCIENCES
IDS Number: 923JR
Here's a wild 4 minute video along with quicker access audio samples of the ChuaSynth
Here's the ChuaSynth masking as master-slave synchronization
Remember Order Out of Chaos!
Here's a 2006 description of how chaotic masking works:
Institute for Nonlinear Science
Digital Communications Using Chaos and Nonlinear Dynamics
10.1007/0-387-29788-X_3
Lawrence E. Larson, Lev S. Tsimring and Jia-Ming Liu
3. Spread Spectrum Communication with Chaotic Frequency Modulation
Alexander R. Volkovskii5 Contact Information, Lev S. Tsimring5 Contact Information, Nikolai F. Rulkov5 Contact Information, Ian Langmore6 Contact Information and Stephen C. Young7
(5) Institute for Nonlinear Science, University of California, San Diego, La Jolla, CA, 92093-0402
(6) Dept. of Electrical and Computer Engineering, University of California, San Diego, CA, 92093-0354
(7) Dept. of Physics, University of Southern California, Los Angeles, CA, 90089-0484
Summary
We describe two different approaches to employ chaotic signals in spread-spectrum (SS) communication systems with phase and frequency modulation. In the first one a chaotic signal is used as a carrier. We demonstrate that using a feedback loop controller, the local chaotic oscillator in the receiver can be synchronized to the transmitter. The information can be transmitted using phase or frequency modulation of the chaotic carrier signal. In the second system the chaotic signal is used for frequency modulation of a voltage controlled oscillator (VCO) to provide a SS signal similar to frequency hopping systems. We show that in a certain parameter range the receiver VCO can be synchronized to the transmitter VCO using a relatively simple phase lock loop (PLL) circuit. The same PLL is used for synchronization of the chaotic oscillators. The information signal can be transmitted using a binary phase shift key (BPSK) or frequency shift key (BFSK) modulation of the frequency modulated carrier signal. Using an experimental circuit operating at radio frequency band and a computer modeling we study the bit error rate (BER) performance in a noisy channel as well as multiuser capability of the system.
There's been various advances in chaotic masking to ensure it can't be cracked
When we get into chaotic masking of lasers then we're entering Matrix A.I. territory, the goal of the ChuaSynth
Here's a more recent update on the ChuaSynth crew
The Double Scroll Attractor of the Chua Circuit is also a model for the full-lotus Klein Bottle pyramid power vortex alchemy
This paper is the secret double-scroll "musification triangle" behind the ChuaSynth and the Avatar-Slave Synchronization
In this part of the tutorial, we would like to
study the complexity of Chua’s attractors by music.
Since “the double scroll circuit is the first real
physical system where chaos is observed in laboratory,
confirmed by computer simulation and
proven mathematically by two independent methods”
[Matsumoto et al., 1988], we try to demonstrate
how it is possible to find out the routes to
chaos [Kennedy, 1993a] using the musical approach.
Possibly, we would explain the emerging structures
in Chua’s attractor translating them into
music, thus demonstrating new ways of analyzing
and entertaining, giving students new approaches
in the study of this important topic of modern
Science. Furthermore, many modifications in
the musical compositions realized by means of
Chua’s attractors show different auditory ways
of interpreting and understanding complexity and
emergence in dynamical systems....In order to highlight the complexity of Chua’s
attractor and the possibility to take advantage
of that, by creating infinite musical compositions,
we have used other kinds of codes to translate
Chua’s attractors into music. We employed a geometrical
code, which exploits the geometries of
the curves x, y and z and their Pythagorean
relationships.
And if anyone doubts the Freemason-Science-Matrix conspiracy -- the Chua Circuit is considered the secret for artificial life
Here's a telling title:
Marti, James, ``Chaos might be the new world order'', Utne Reader n48 (Nov-Dec, 1991):30.
Here's an early, 1993 form of ChuaSynth music with detailed prose analysis featuring the "torus breakdown"
One of the authors is a Santa Fe Institute scientist, the locale of my "Matrix Plan Updates" and is serious about this quantum chaos future with the below 2001 agenda
From Intelligent Networks to the Global Brain, Evolutionary Social Organization through Knowledge Technology, The First Global Brain Workshop, Brussels, 2001
And as the grande finale the ChuaSynth interactive website featuring "cultural products"
Think I'm joking -- the 2009 updated AVATAR ChuaSynth interactive initiation of Matrix reality
We want to exploit the
cognitive advantages of learning by a virtual museum in
an immersive audio-visual three-dimensional scene. The
complexity of many physical phenomena can’t be easily
understood, this is even at the base of the chaos basilar
mythological concept developed by the ancient Greeks....
Moving round the museum, the avatar (and the user)
can interact with attractors, listen to music and sounds
produced. The environment supports other forms of
interaction. By controlling the avatar users can move
from room to room interacting with the objects they find
there. Moreover he can visualize, modify and hear the
evolution of chaotic trajectory. But the success of such
virtual “direct experience” depends heavily on the design