Vaguery + nonlinearity 2
[1007.4790] Oscillons: chaotic attractors and neuronal bursting in 1953
august 2010 by Vaguery
"Although Laposky, a draftsman by profession, had received a proper recognition as a pioneer of electronic art, at no time his name has emerged in the context of dynamical chaos theory. The circuits he had implemented for generation of “oscillons” on the screen of a cathode ray tube oscilloscope, remain a mystery. It is known that some of his thirty-seven circuits [2] had “as many as 70 different setting of controls”[3] and that ac-voltage has been used for the circuit feeding. Our analysis is based on the vanity press booklet with the still photos of the fifty-six oscillons, which were exhibited at the Sanford Museum (Cherokee, Iowa) in 1953 [2]."
chaos
nonlinearity
dynamical-systems
nanohistory
august 2010 by Vaguery
[1007.3373] A wavelet-based tool for studying non-periodicity
july 2010 by Vaguery
"This paper presents a new numerical approach to the study of non-periodicity in signals, which can complement the maximal Lyapunov exponent method for determining chaos transitions of a given dynamical system. The proposed technique is based on the continuous wavelet transform and the wavelet multiresolution analysis. A new parameter, the \textit{scale index}, is introduced and interpreted as a measure of the degree of the signal's non-periodicity. This methodology is successfully applied to three classical dynamical systems: the Bonhoeffer-van der Pol oscillator, the logistic map, and the Henon map."
dynamical-systems
nonlinearity
physics
complex-systems
chaos
algorithms
signal-processing
july 2010 by Vaguery
related tags
algorithms ⊕ chaos ⊕ complex-systems ⊕ dynamical-systems ⊕ nanohistory ⊕ nonlinearity ⊖ physics ⊕ signal-processing ⊕Copy this bookmark: