Rights statement: Electronic version of this article published as A new approach to the treatment of Separatrix Chaos in Fluctuation and Noise Letters, 11, 1, 2012, 1240002 10.1142/S0219477512400020 © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0219477512400020
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - A new approach to the treatment of Separatrix Chaos
AU - Soskin, Stanislav M.
AU - Mannella, Riccardo
AU - Yevtushenko, Oleg M.
AU - Khovanov, Igor A.
AU - McClintock, Peter V. E.
N1 - Electronic version of this article published as A new approach to the treatment of Separatrix Chaos in Fluctuation and Noise Letters, 11, 1, 2012, 1240002 10.1142/S0219477512400020 © copyright World Scientific Publishing Company http://www.worldscientific.com/doi/abs/10.1142/S0219477512400020
PY - 2012/3
Y1 - 2012/3
N2 - 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.
AB - 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.
KW - Chaotic layer
KW - separatrix map
KW - nonlinear resonance
KW - global chaos
KW - superlattice
KW - meandering flow
U2 - 10.1142/S0219477512400020
DO - 10.1142/S0219477512400020
M3 - Journal article
VL - 11
SP - -
JO - Fluctuation and Noise Letters
JF - Fluctuation and Noise Letters
SN - 0219-4775
IS - 1
M1 - 1240002
ER -