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Regular and Chaotic Dynamics

Regular and Chaotic Dynamics,A. J. Lichtenberg,M. A. Lieberman

Regular and Chaotic Dynamics   (Citations: 804)
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Published in 1992.
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    • ...We have confirmed numerically (not shown here) that the distance between two adjacent resonances is smaller than the sum of the half‐ widths of the two resonance islands, resulting in stochastic behavior of electrons [Lichtenberg and Lieberman, 1983, pp. 245–265]...

    X. Taoet al. Comparison of quasilinear diffusion coefficients for parallel propagat...

    • ...We have confirmed numerically (not shown here) that the distance between two adjacent resonances is smaller than the sum of the half‐ widths of the two resonance islands, resulting in stochastic behavior of electrons [Lichtenberg and Lieberman, 1983, pp. 245–265]...

    X. Taoet al. Comparison of quasilinear diffusion coefficients for parallel propagat...

    • ...Once the existence of the invariant is established, we can use the usual method of obtaining a symplectic map 14...

    G. V. Khazanovet al. Bursty precipitation driven by chorus waves

    • ...[27]). To check its validity we use the values si obtained for the groundstate configuration and extract from them the kick function gφ =s in 2 φ from the values ¯ v − v =2 a 2 gv(v)gφ(φ )w ith gv(v )=1 − cos v. Such a check shows that the map (2) indeed gives a good description of actual electron positions si up to moderate values of a (Fig. 5)...
    • ...Locally the dynamics is approximately described by the Chirikov standard map with the chaos parameter K ≈ 4a 2 (1 − cos v). According to [22,27] the KAM curves are destroyed at K> 1 which is in a good agreement with our numerical 66 The European Physical Journal B...

    O. V. Zhirovet al. Wigner crystal in snaked nanochannels

    • ...In recent years, scholars at home and abroad put a great attention on the generation and application of chaos and hyperchaos [1,2]...

    Bing Qiet al. A Novel Hyperchaotic System and Its Synchronization Based on Neural Ne...

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