ON NONLINEAR DYNAMICS OF THE PENDULUM WITH PERIODICALLY VARYING LENGTH Anton BELYAKOV, Alexander SEYRANIAN a_belyakov@inbox.ru, seyran@imec.msu.ru Institute of Mechanics, Moscow State Lomonosov University, Michurinsky pr. ... Keywords: Pendulum of variable length, Stability of regular rotation, Tumbling chaos, Averaging method, Stability of limit cycle, Quasi-linear oscillatory system, Basin of attraction. ... Fig. ... Thus, the first instability domain takes the form (11) Fig. ... first three terms. ...
... PHYSICAL INSTRUMENTS FOR ECOLOGY, MEDICINE, AND BIOLOGY LaserElectron X-Ray Source for Medical Applications E. G. Bessonov, A. V. Vinogradov, and A. G. Tourianskii Lebedev Physical Institute, Russian Academy of Sciences, Leninskii pr. ... It includes two electron storage rings (E 50 MeV) placed in the vertical plane and two laser resonators located in the horizontal and vertical planes. ... Electrons can be injected into the storage rings singly or during several cycles through the injectors. ...
... ctronic modules Detectors unit . Bicounter module . ... The base of the electronics design is the same as in original MASS: modular structure, data exchange via RS485 interface, PMTs as light detectors. ... Detailed design of the MASS electronic modules (circuit diagrams, printed circuit b oard views, their sp ecifications) is provided in the second Chapter. ... SS MOSI 6 VCC GND LINE A OVLIGHT LINE B STROB 12 13 Figure 2.2: Circuit diagram of the analog part of the Bicounter module electronics. ...
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