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- W1978114211 abstract "The influence of noise on the accumulation of the period-doubling cascade has been analysed mostly for independent Gaussian noise. Universality extends to much more general situations including the case of periodic noises although some differences occur in the value of the critical exponents. We propose an explanation for these apparent discrepancies based on numerical and theoretical results. We report on simulations of discrete systems which show a cross-over in the behaviour of the Lyapunov exponent as a function of the amplitude of the periodic noise. Within a renormalization group approach, we discuss this phenomenon in terms of the competition between the usual deterministic fixed point and a noise-dependent fixed point." @default.
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- W1978114211 date "1987-03-15" @default.
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- W1978114211 title "Transitions to Chaos in the Presence of an External Periodic Field: Cross-Over Effect in the Measure of Critical Exponents" @default.
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- W1978114211 doi "https://doi.org/10.1209/0295-5075/3/6/001" @default.
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