Describing intrinsic noise in Chua's circuit |
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Authors: | Flavio Prebianca Holokx A Albuquerque Marcus W Beims |
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Institution: | 1. Departamento de Física, Universidade Federal do Paraná, 81531-980 Curitiba, PR, Brazil;2. Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, SC, Brazil |
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Abstract: | In this Letter we demonstrate that intrinsic inevitable noise effects, existing in realistic experiments with electronic circuits, are properly described theoretically using a Gaussian noise. For this we integrate numerically the equations of motion from the Chua circuit using a fourth-order stochastic Runge–Kutta integrator. Periodic structures in parameter space, related to periodic motion, start to be destroyed when the noise intensity is increased and vanish at a critical intensity value, for which only chaotic motion remains. We find the appropriate noise intensity interval which satisfactorily reproduces the parameter space from the corresponding experiment and it is in remarkable agreement with the estimated experimental noise. Present achievements should be applicable to describe noise effects in a wide number of electronic circuits. |
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Keywords: | Chua's circuit Lyapunov exponent Gaussian noise |
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