Abstract
We analyze the transients of a logistic map. The dependence of the transient duration on the initial conditions for different values of the control parameter is revealed. It is shown that as the control parameter λ increases, the dependence of the transient duration on the initial conditions becomes more complex, which can be explained by the appearance of unstable 2n-period cycles. It is also shown that several definite scaling laws exist for the discussed function.
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Koronovsky, A.A., Trubetskov, D.I., Khramov, A.E. et al. Universal Rules of Transient Processes. Radiophysics and Quantum Electronics 45, 806–812 (2002). https://doi.org/10.1023/A:1022436501970
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DOI: https://doi.org/10.1023/A:1022436501970