"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 5, 2019

contents of issue      DOI  10.30898/1684-1719.2019.5.12    full text in Russian (pdf)  

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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For citation:

D. S. Makhov. Logical synthesis of antenna array on the basis of the theory of fuzzy sets. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 5. Available at http://jre.cplire.ru/jre/may19/12/text.pdf

DOI  10.30898/1684-1719.2019.5.12