TY - JOUR
T1 - The influence of multiple frequency perturbations on particle chaotization in a cell
AU - Guzev, M.A.
AU - Izrailsky, Y.G.
AU - Koshel, K.V.
AU - Dyskin, Arcady
AU - Pasternak, Elena
PY - 2015
Y1 - 2015
N2 - © 2014 Elsevier B.V. We consider the onset of chaotic regimes in a phase space of a particle interacting with its neighbors by means of Lennard-Jones potential. It was shown, that in the case of a single frequency cell excitation, the chaotization onset is of a threshold type in both amplitude and frequency. We propose a way to form a global chaos based upon the use of multi-frequency external excitation. The numerical experiments and asymptotic analysis show that in this case the global chaotization starts at excitation amplitudes and frequencies far below their critical values for single-frequency excitation.
AB - © 2014 Elsevier B.V. We consider the onset of chaotic regimes in a phase space of a particle interacting with its neighbors by means of Lennard-Jones potential. It was shown, that in the case of a single frequency cell excitation, the chaotization onset is of a threshold type in both amplitude and frequency. We propose a way to form a global chaos based upon the use of multi-frequency external excitation. The numerical experiments and asymptotic analysis show that in this case the global chaotization starts at excitation amplitudes and frequencies far below their critical values for single-frequency excitation.
U2 - 10.1016/j.cnsns.2014.10.034
DO - 10.1016/j.cnsns.2014.10.034
M3 - Article
VL - 23
SP - 28
EP - 38
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
SN - 1007-5704
IS - 1-3
ER -