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A NEW APPROACH TO THE TREATMENT OF SEPARATRIX CHAOS

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

Published
Publication date1/03/2022
Host publicationThe Random and Fluctuating World: Celebrating Two Decades of Fluctuation and Noise Letters
EditorsPeter McClintock, L. B. Kish
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages213-224
Number of pages12
ISBN (Electronic)9789811252150
ISBN (Print)9789811252136
<mark>Original language</mark>English

Abstract

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.