A study on chaos and chaotic-image simulating instrument
Zhang Pu-li
Abstract
Zhang Pu-li
Abstract
Aim In order to study the characteristics of chaos.Methods Using phase image and bifurcation are composed of two kinds of sine wave that are produced by LC oscillator and RC phase shifter respectively,the phenomenon of chaos is simulated based on the chaos theory.Results By applying the nonlinear simulating circuit system,the chaotic-image simulating instrument is made.Conclusion The characteristic of chaos are analyzed by using the instrument;the single attractor,double attractor and period-doubling bifurcation are exhibited.
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Aim In order to study the characteristics of chaos.Methods Using phase image and bifurcation are composed of two kinds of sine wave that are produced by LC oscillator and RC phase shifter respectively,the phenomenon of chaos is simulated based on the chaos theory.Results By applying the nonlinear simulating circuit system,the chaotic-image simulating instrument is made.Conclusion The characteristic of chaos are analyzed by using the instrument;the single attractor,double attractor and period-doubling bifurcation are exhibited.
Key concepts: Attractor, Chaotic, Bifurcation, CHAOS (operating system), Control of chaos, Image (mathematics), Period-doubling bifurcation, Nonlinear system