UDC
621.396.677
Logical synthesis of antenna array on
the basis of the theory of fuzzy sets
D.
S. Makhov
Krasnodar highest military
college of a name of the general S.M. Shtemenko, Krasina str., 4, Krasnodar 350063,
Russia
The paper is received on May 5, 2019,
after correction – on May 22, 2019
Abstract. We
investigate the sufficient conditions of infinite to one transversal on the
level surface of known first integrals self-intersection of complex asymptotic
manifolds of hyperbolic equilibrium position of the system of ordinary
differential equations of the type of Hamiltonian with two degrees of freedom
(the number of known first integrals is three less than the dimension of the
system). The obtained results are applicable to the problem on motion of
dynamically symmetric rigid heavy body around a fixed point, Suslov’s problem
on the motion of a rigid body around a fixed point with non-holonomic
constraint, to the Henon-Heiles system, to the system, describing the stationary
flow of ideal non-compressive liquid, called ABC-dynamo.
Keywords:
self-intersection of complex asymptotic manifolds of hyperbolic equilibrium
position, nonexistence of first integrals.
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