ZhETF, Vol. 117,
No. 3,
p. 644 (March 2000)
(English translation - JETP,
Vol. 90, No. 3,
p. 562,
March 2000
available online at www.springer.com
)
ADIABATIC INVARIANCE AND SEPARATRIX: SINGLE SEPARATRIX CROSSING
Chirikov B.V., Vecheslavov V.V.
Received: June 22, 1999
PACS: 05.45.+b
Detailed numerical experiments on the dynamics and statistics of a single crossing the separatrix of a nonlinear resonance with a time-varying amplitude are described. The results are compared with a simple approximate theory first developed by Timofeev and further improved and generalized by Tennyson and coworkers. The main attention is paid to a new, ballistic, regime of separatrix crossing in which the violation of adiabaticity is maximal. Some unsolved problems and open questions are also discussed.
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