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Vahid Rashtchi

V. Rashtchi, M. Nourazar
Detecting The State Of The Duffing Oscillator By Phase Space Trajectory Autocorrelation 
Abstract


Detecting the state of the Duffingoscillator, a type of well-known chaotic oscillator, deeply affects the accuracy of its application. Considering this, the present paper introduced a novel method for detecting the state of the Duffingoscillator. Binary outputs, simple calculation, high precision and fast response time were the main advantages of the phasespacetrajectory autocorrelation. Also, this study explained the largest Lyapunov exponent as well as a number of other methods commonly employed in detecting the state of the Duffingoscillator. The precision and effectiveness of the method introduced wascompared with other well-known state detection methods such as the 0-1 test and the largest Lyapunovexponent.

 

 

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