Title :
Images from chaos
Author :
Izquierdo, J. L Subias ; Sanchez, J. M Paricio
Author_Institution :
Zaragoza Univ., Spain
Abstract :
A new method for imaging and representing strange attractors is here presented. It is based on introduction gradation color as a new dimension that complement two-dimensionality of images. Color gradation represents, for a point of phase portrait, the probability what dynamical system go across that point. This concept (probability) is introduced based on the property of Chaotical System so-called `sensitive dependence of initial conditions´ what is only comparable to the transcendental limitation in Quantum Mechanics so-called `Heisenberg´s uncertainty´. Thus one useful parallel is established between Quantum Mechanics and Chaos Theory
Keywords :
Poincare mapping; chaos; probability; chaos; introduction gradation color; phase portrait; probability; sensitive dependence; strange attractors; transcendental limitation; two-dimensionality; Chaos; Clouds; Differential equations; Fractals; Image resolution; Mechanical factors; Orbital calculations; Quantum mechanics; Shape; Technical drawing;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873518