Title :
Novel circuit implementation of the Nóse-Hoover thermostated dynamic system
Author :
Hrubos, Zdenek ; Gotthans, Tomas ; Petrzela, Jiri
Author_Institution :
Dept. of Radio Electron., Brno Univ. of Technol., Brno, Czech Republic
Abstract :
It came as a surprise to most scientists when Lorenz in 1963 discovered chaos in a simple system of three autonomous ordinary differential equations with two quadratic nonlinearities. This paper reviews the numerical analysis, simulation and circuit implementation of conservative chaotic oscillator. There is reason to believe that the algebraically simplest examples of chaotic flows with quadratic and piecewise linear nonlinearities have now been identified. A special case of the simple Nóse-Hoover system where the chaotic attractor can be observed without the need to set parameters of the system (or all are equal to one) is described.
Keywords :
circuit simulation; numerical analysis; oscillators; Nose-Hoover thermostated dynamic system; chaotic attractor; chaotic flows; circuit implementation; conservative chaotic oscillator; numerical analysis; numerical simulation; piecewise linear nonlinearity; Bifurcation; Chaos; Differential equations; Mathematical model; Oscillators; Space vehicles; Trajectory; Chaos; autonomous oscillator; bifurcation; differential equations; integrator synthesis; strange attractor;
Conference_Titel :
Telecommunications and Signal Processing (TSP), 2011 34th International Conference on
Conference_Location :
Budapest
Print_ISBN :
978-1-4577-1410-8
DOI :
10.1109/TSP.2011.6043720
