Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Marginal resonances and intermittent behaviour in the motion in the vicinity of a separatrix. / Shevchenko, Ivan I.
в: Physica Scripta, Том 57, № 2, 01.01.1998, стр. 185-191.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Marginal resonances and intermittent behaviour in the motion in the vicinity of a separatrix
AU - Shevchenko, Ivan I.
PY - 1998/1/1
Y1 - 1998/1/1
N2 - A condition upon which sporadic bursts (intermittent behaviour) of the relative energy become possible is derived for the motion in the chaotic layer around the separatrix of a non-linear resonance. This is a condition for the existence of a marginal resonance, i.e. a resonance located at the border of the layer. A separatrix map in Chirikov's form [Chirikov, B. V., Phys. Reports 52, 263 (1979)] is used to describe the motion. In order to provide a straightforward comparison with numeric integrations, the separatrix map is synchronized to the surface of the section farthest from the saddle point. The condition of intermittency is applied to clear out the nature of the phenomenon of bursts of the eccentricity of chaotic asteroidal trajectories in the 3/1 mean motion commensurability with Jupiter. On the basis of the condition, a new intermittent regime of resonant asteroidal motion is predicted and then identified in numeric simulations.
AB - A condition upon which sporadic bursts (intermittent behaviour) of the relative energy become possible is derived for the motion in the chaotic layer around the separatrix of a non-linear resonance. This is a condition for the existence of a marginal resonance, i.e. a resonance located at the border of the layer. A separatrix map in Chirikov's form [Chirikov, B. V., Phys. Reports 52, 263 (1979)] is used to describe the motion. In order to provide a straightforward comparison with numeric integrations, the separatrix map is synchronized to the surface of the section farthest from the saddle point. The condition of intermittency is applied to clear out the nature of the phenomenon of bursts of the eccentricity of chaotic asteroidal trajectories in the 3/1 mean motion commensurability with Jupiter. On the basis of the condition, a new intermittent regime of resonant asteroidal motion is predicted and then identified in numeric simulations.
UR - http://www.scopus.com/inward/record.url?scp=0000582239&partnerID=8YFLogxK
U2 - 10.1088/0031-8949/57/2/004
DO - 10.1088/0031-8949/57/2/004
M3 - Article
AN - SCOPUS:0000582239
VL - 57
SP - 185
EP - 191
JO - Physica Scripta Topical Issues
JF - Physica Scripta Topical Issues
SN - 0031-8949
IS - 2
ER -
ID: 45990060