Abstract
Superpersistent chaotic transients are characterized by the following scaling law for its average lifetime: t~exp [C(p - pc)-? ], where C > 0 and ? > 0 are constants, p = pc is a bifurcation parameter, and pc is its critical value. As p approaches pc from above, the exponent in the exponential dependence diverges, leading to an extremely long transient lifetime. Historically the possibility of such transient raised the question of whether asymptotic attractors are relevant to turbulence.
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© 2010 Springer-Verlag Berlin Heidelberg
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Lai, YC. (2010). Superpersistent Chaotic Transients. In: Thiel, M., Kurths, J., Romano, M., Károlyi, G., Moura, A. (eds) Nonlinear Dynamics and Chaos: Advances and Perspectives. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04629-2_7
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DOI: https://doi.org/10.1007/978-3-642-04629-2_7
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Online ISBN: 978-3-642-04629-2
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