For citation:
Aslanov V. S., Ivanov B. V. Chaotic Motion of Nonlinear System. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, vol. 8, iss. 4, pp. 38-43. DOI: 10.18500/1816-9791-2008-8-4-38-43
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
17.11.2008
Full text:
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Language:
Russian
Heading:
UDC:
531.36: 534.1
Chaotic Motion of Nonlinear System
Autors:
Aslanov Vladimir Stepanovich, Samara National Research University
Ivanov Boris Vsevolodovich, Samara National Research University
Abstract:
Chaotic motion of a body of the blunted form in an atmosphere described is considered by the nonlinear differential equation of the second order. On a body the restoring moment, the small perturbed periodic moment and the damped moment operates. The phase portrait of the unperturbed system has points of unstable balance. On the basis of Melnikov method the criteria determining borders of chaos of system are found. The results of the numerical simulations confirming validity, received criterion are submitted.
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