S. Soskin, R. Mannella, O. Yevtushenko, I. Khovanov, P. McClintock
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A NEW APPROACH TO THE TREATMENT OF SEPARATRIX CHAOS
We review an approach to separatrix chaos that has allowed us to solve some significant problems by: (i) finding analytically the maximum width of the chaotic layer, a problem that lay unsolved for 40 years, and showing that the maximum may be much larger than had previously been assumed; (ii) describing the drastic facilitation of the onset of global chaos between neighboring separatrices, a phenomenon discovered eight years ago.