42 research outputs found
The variation of the magnetic field of the Ap star HD~50169 over its 29 year rotation period
Context. The Ap stars that rotate extremely slowly, with periods of decades
to centuries, represent one of the keys to the understanding of the processes
leading to the differentiation of stellar rotation.
Aims. We characterise the variations of the magnetic field of the Ap star HD
50169 and derive constraints about its structure.
Methods. We combine published measurements of the mean longitudinal field
of HD 50169 with new determinations of this field moment from circular
spectropolarimetry obtained at the 6-m telescope BTA of the Special
Astrophysical Observatory of the Russian Academy of Sciences. For the mean
magnetic field modulus , literature data are complemented by the analysis of
ESO spectra, both newly acquired and from the archive. Radial velocities are
also obtained from these spectra.
Results. We present the first determination of the rotation period of HD
50169, Prot = (29.04+/-0.82) y. HD 50169 is currently the longest-period Ap
star for which magnetic field measurements have been obtained over more than a
full cycle. The variation curves of both and have a significant degree
of anharmonicity, and there is a definite phase shift between their respective
extrema. We confirm that HD 50169 is a wide spectroscopic binary, refine its
orbital elements, and suggest that the secondary is probably a dwarf star of
spectral type M.
Conclusions. The shapes and mutual phase shifts of the derived magnetic
variation curves unquestionably indicate that the magnetic field of HD 50169 is
not symmetric about an axis passing through its centre. Overall, HD 50169
appears similar to the bulk of the long-period Ap stars.Comment: 10 pages, 3 figures, accepted for publication in A&
HD 965: An extremely peculiar A star with an extremely long rotation period
Context. One of the keys to understanding the origin of the Ap stars and
their significance in the general context of stellar astrophysics is the
consideration of the most extreme properties displayed by some of them. In that
context, HD 965 is particularly interesting, as it combines some of the most
pronounced chemical peculiarities with one of the longest rotation periods
known.
Aims. We characterise the variations of the magnetic field of the Ap star HD
965 and derive constraints about its structure.
Methods. We combine published measurements of the mean longitudinal field
of HD 965 with new determinations of this field moment from circular
spectropolarimetry obtained at the 6-m telescope BTA of the Special
Astrophysical Observatory of the Russian Academy of Sciences. For the mean
magnetic field modulus , literature data are complemented by the analysis of
ESO archive spectra.
Results. We present the first determination of the rotation period of HD 965,
P = (16.5+/-0.5) y. HD 965 is only the third Ap star with a period longer than
10 years for which magnetic field measurements have been obtained over more
than a full cycle. The variation curve of is well approximated by a cosine
wave. does not show any significant variation. The observed behaviour of
these field moments is well represented by a simple model consisting of the
superposition of collinear dipole, quadrupole and octupole. The distribution of
neodymium over the surface of HD 965 is highly non-uniform. The element appears
concentrated around the magnetic poles, especially the negative one.
Conclusions. The shape of the longitudinal magnetic variation curve of HD 965
indicates that its magnetic field is essentially symmetric about an axis
passing through the centre of the star. Overall, as far as its magnetic field
is concerned, HD 965 appears similar to the bulk of the long-period Ap stars.Comment: 7 pages, 4 figures, accepted for publication in Astronomy &
Astrophysics. arXiv admin note: text overlap with arXiv:1902.0586
HD 178892 - a cool Ap star with extremely strong magnetic field
We report a discovery of the Zeeman resolved spectral lines, corresponding to
the extremely large magnetic field modulus =17.5 kG, in the cool Ap star HD
178892. The mean longitudinal field of this star reaches 7.5 kG, and its
rotational modulation implies the strength of the dipolar magnetic component
Bp>=23 kG. We have revised rotation period of the star using the All Sky
Automated Survey photometry and determined P=8.2478 d. Rotation phases of the
magnetic and photometric maxima of the star coincide with each other. We
obtained Geneva photometric observation of HD 178892 and estimated
Teff=7700+/-250 K using photometry and the hydrogen Balmer lines. Preliminary
abundance analysis reveals abundance pattern typical of rapidly oscillating Ap
stars.Comment: Accepted by Astronomy & Astrophysics; 4 pages, 4 figure
Comprehensive study of the magnetic stars HD 5797 and HD 40711 with large chromium and iron overabundances
We present the results of a comprehensive study of the chemically peculiar
stars HD 5797 and HD 40711. The stars have the same effective temperature, Teff
= 8900 K, and a similar chemical composition with large iron (+1.5 dex) and
chromium (+3 dex) overabundances compared to the Sun. The overabundance of
rare-earth elements typically reaches +3 dex. We have measured the magnetic
field of HD 5797. The longitudinal field component Be has been found to vary
sinusoidally between -100 and +1000 G with a period of 69 days. Our estimate of
the evolutionary status of the stars suggests that HD 5797 and HD 40711, old
objects with an age t \approx 5 \times 108 yr, are near the end of the core
hydrogen burning phase.Comment: 26 pages, 5 Encapsulated Postscript figure
Study of chemically peculiar stars β I. High-resolution spectroscopy and K2 photometry of Am stars in the region of M44
ABSTRACT We present a study based on the high-resolution spectroscopy and K2 space photometry of five chemically peculiar stars in the region of the open cluster M44. The analysis of the high-precision photometric K2 data reveals that the light variations in HD 73045 and HD 76310 are rotational in nature and caused by spots or cloud-like co-rotating structures, which are non-stationary and short-lived. The time-resolved radial velocity measurements, in combination with the K2 photometry, confirm that HD 73045 does not show any periodic variability on time-scales shorter than 1.3 d, contrary to previous reports in the literature. In addition to these new rotational variables, we discovered a new heartbeat system, HD 73619, where no pulsational signatures are seen. The spectroscopic and spectropolarimetric analyses indicate that HD 73619 belongs to the peculiar Am class, with either a weak or no magnetic field, considering the 200-G detection limit of our study. The least-squares deconvolution profiles for HD 76310 indicate a complex structure in its spectra, suggesting that this star is either part of a binary system or surrounded by a cloud shell. When placed in the HertzsprungβRussell diagram, all studied stars are evolved from the main sequence and situated in the Ξ΄ Scuti instability strip. This work is relevant for further detailed studies of chemically peculiar stars, for example on inhomogeneities (including spots) in the absence of magnetic fields and the origin of the pulsational variability in heartbeat systems
ΠΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΠΏΡΠ΅Π²Π΄ΠΎΡΠ»ΡΡΠ°ΠΉΠ½ΠΎΠΉ ΠΏΠΎΡΠ»Π΅Π΄Π²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Ρ Π°ΠΎΡΠ° Π΄Π»Ρ ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΡΠΈΡΠΎΠΊΠΎΠΏΠΎΠ»ΠΎΡΠ½ΡΡ ΡΠ΅Π»Π΅ΠΊΠΎΠΌΠΌΡΠ½ΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΡΡ ΡΠΈΡΡΠ΅ΠΌΡ Ρ ΡΠ»ΡΡΡΠ΅Π½Π½ΡΠΌΠΈ Ρ Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠ°ΠΌΠΈ
ΠΡΠΎΠ±Π»Π΅ΠΌΠ°ΡΠΈΠΊΠ°. Π’Π΅Π»Π΅ΠΊΠΎΠΌΡΠ½ΡΠΊΠ°ΡΡΠΉΠ½Ρ ΡΠΈΡΡΠ΅ΠΌΠΈ Π· ΡΠΈΡΠΎΠΊΠΎΡΠΌΡΠ³ΠΎΠ²ΠΈΠΌ ΡΠΈΠ³Π½Π°Π»ΠΎΠΌ ΠΌΠ°ΡΡΡ Π±Π΅Π·ΠΏΠ΅ΡΠ΅ΡΠ½Ρ ΠΏΠ΅ΡΠ΅Π²Π°Π³ΠΈ: ΠΏΡΠ΄Π²ΠΈΡΠ΅Π½Ρ Π·Π°Π²Π°Π΄ΠΎΡΡΡΠΉΠΊΡΠΉΠΊΡΡΡΡ ΠΏΡΠΈ Π²ΡΠ·ΡΠΊΠΎΡΠΌΡΠ³ΠΎΠ²ΠΈΡ
Ρ ΡΠΈΡΠΎΠΊΠΎΡΠΌΡΠ³ΠΎΠ²ΠΈΡ
ΠΏΠ΅ΡΠ΅ΡΠΊΠΎΠ΄Π°Ρ
, ΠΊΠΎΠ½ΡΡΠ΄Π΅Π½ΡΡΠΉΠ½ΡΡΡΡ ΠΏΠ΅ΡΠ΅Π΄Π°ΡΡ ΡΠ½ΡΠΎΡΠΌΠ°ΡΡΡ, Π° ΡΠ°ΠΊΠΎΠΆ ΠΏΠΎΠ»ΡΠΏΡΠ΅Π½Ρ Π΅Π»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΡΡΠ½Ρ ΡΡΠΌΡΡΠ½ΡΡΡΡ Π· ΡΡΡΡΠ΄Π½ΡΠΌΠΈ ΡΠ°Π΄ΡΠΎΠ΅Π»Π΅ΠΊΡΡΠΎΠ½Π½ΠΈΠΌΠΈ ΠΏΡΠΈΡΡΡΠΎΡΠΌΠΈ. Π¨ΠΈΡΠΎΠΊΠΎΡΠΌΡΠ³ΠΎΠ²ΠΈΠΉ ΡΠΈΠ³Π½Π°Π» ΡΠΎΡΠΌΡΡΡΡΡΡ ΡΠΊ ΠΏΡΠ°Π²ΠΈΠ»ΠΎ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΏΡΡΠΌΠΎΠ³ΠΎ ΡΠΎΠ·ΡΠΈΡΠ΅Π½Π½Ρ ΡΠΏΠ΅ΠΊΡΡΡ Π· Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½ΡΠΌ Π²ΡΠ΄ΠΎΠΌΠΈΡ
ΠΊΠ»Π°ΡΠΈΡΠ½ΠΈΡ
ΠΏΡΠ΅Π²Π΄ΠΎΠ²ΠΈΠΏΠ°Π΄ΠΊΠΎΠ²ΠΈΡ
ΠΏΠΎΡΠ»ΡΠ΄ΠΎΠ²Π½ΠΎΡΡΠ΅ΠΉ (ΠΠΠ) : m- ΠΏΠΎΡΠ»ΡΠ΄ΠΎΠ²Π½ΠΎΡΡΠ΅ΠΉ, ΠΏΠΎΡΠ»ΡΠ΄ΠΎΠ²Π½ΠΎΡΡΠ΅ΠΉ ΠΠ°ΡΠ°ΠΌΠΈ, ΠΠΎΠ»Π΄Π°,,Π£ΠΎΠ»ΡΠ°, ΡΠΊΡ Π² ΠΏΡΠΈΠΉΠΌΠ°ΡΡ ΠΌΠΎΠΆΠ½Π° ΠΏΡΠ΄ΡΠ±ΡΠ°ΡΠΈ Ρ ΠΏΡΠΈΠΉΠ½ΡΡΠΈ ΡΠΈΠ³Π½Π°Π».
ΠΠ΅ΡΠ° Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Ρ. Π‘ΡΠ²ΠΎΡΠ΅Π½Π½Ρ ΠΠΠ Π½Π° ΠΎΡΠ½ΠΎΠ²Ρ Ρ
Π°ΠΎΡΡ, ΡΠΊΡ ΠΏΡΠΈΠΉΠΌΠ°ΡΡΠΈΠΉ Π°Π±ΠΎΠ½Π΅Π½Ρ ΠΏΡΠ°ΠΊΡΠΈΡΠ½ΠΎ Π½Π΅ Π·ΠΌΠΎΠΆΠ΅ ΠΏΡΠ΄ΡΠ±ΡΠ°ΡΠΈ, Ρ ΡΠ°ΠΊΠΈΠΌ ΡΠΈΠ½ΠΎΠΌ Π·Π°Π±Π΅Π·ΠΏΠ΅ΡΠΈΡΠΈ ΠΏΡΠ΄Π²ΠΈΡΠ΅Π½Ρ ΠΊΠΎΠ½ΡΡΠ΄Π΅Π½ΡΡΠΉΠ½ΡΡΡΡ ΠΏΡΠΈΠΉΠΎΠΌΡ ΡΠ½ΡΠΎΡΠΌΠ°ΡΡΡ.
ΠΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΡΠ΅Π°Π»ΡΠ·Π°ΡΡΡ. Π Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½ΡΠΌ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΎΡ ΠΌΠΎΠ΄Π΅Π»Ρ Ρ
Π°ΠΎΡΠΈΡΠ½ΠΎΠ³ΠΎ Π»ΠΎΠ³ΡΡΡΠΈΡΠ½ΠΎΠ³ΠΎ Π²ΡΠ΄ΠΎΠ±ΡΠ°ΠΆΠ΅Π½Π½Ρ, ΡΠΊΠ°, ΡΠΊ ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ ΠΏΠΎΠΏΠ΅ΡΠ΅Π΄Π½Ρ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Π½Ρ, Π·Π°Π±Π΅Π·ΠΏΠ΅ΡΡΡ Π½Π°ΠΉΠΊΡΠ°ΡΡ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΈ, Π° ΡΠ°ΠΊΠΎΠΆ Π·Π²Π΅ΡΡΠ°ΡΡΠΈΡΡ Π΄ΠΎ Π±ΡΡΡΡΠΊΠ°ΡΡΠΉΠ½ΠΎΡ Π΄ΡΠ°Π³ΡΠ°ΠΌΠΈ Π€Π΅ΠΉΠ³Π΅Π½Π±Π°ΡΠΌΠ°, Π²ΠΈΠ·Π½Π°ΡΠ°ΡΡΡΡΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈ 3-Ρ
ΡΠ΅ΠΊΡΠ΅ΡΠ½ΠΈΡ
ΠΊΠ»ΡΡΡΠ² Ρ ΡΡΠ²ΠΎΡΡΡΡΡΡΡ ΠΠΠ Π²ΠΈΠ±ΡΠ°Π½ΠΎΡ Π΄ΠΎΠ²ΠΆΠΈΠ½ΠΈ. ΠΠ° ΠΎΡΠ½ΠΎΠ²Ρ Π·Π°ΡΡΠΎΡΡΠ²Π°Π½Π½Ρ ΡΠΎΠ·ΡΠΎΠ±Π»Π΅Π½ΠΎΠ³ΠΎ Π² ΡΠΈΡΡΠ΅ΠΌΡ ΠΠΠ’ΠΠΠ Π³ΡΠ°ΡΡΡΠ½ΠΎΠ³ΠΎ ΡΠ½ΡΠ΅ΡΡΠ΅ΠΉΡΡ ΠΊΠΎΡΠΈΡΡΡΠ²Π°ΡΠ° Π·Π΄ΡΠΉΡΠ½ΡΡΡΡΡΡ ΠΊΠΎΡΠ΅Π»ΡΡΡΠΉΠ½ΠΈΠΉ Π°Π½Π°Π»ΡΠ· ΠΎΡΡΠΈΠΌΠ°Π½ΠΈΡ
ΠΠΠ Ρ Π²ΠΈΠ·Π½Π°ΡΠ°ΡΡΡΡΡ ΠΠΠ Π· ΠΌΡΠ½ΡΠΌΠ°Π»ΡΠ½ΠΈΠΌ ΡΡΠ²Π½Π΅ΠΌ Π±ΡΡΠ½ΠΈΡ
ΠΏΠ΅Π»ΡΡΡΠΎΠΊ Π°Π²ΡΠΎΠΊΠΎΡΠ΅Π»ΡΡΡΠΉΠ½ΠΎΡ ΡΡΠ½ΠΊΡΡΡ.
Π Π΅Π·ΡΠ»ΡΡΠ°ΡΠΈ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Ρ. Π¨Π»ΡΡ
ΠΎΠΌ Π΅ΠΌΠΏΡΡΠΈΡΠ½ΠΎΠ³ΠΎ Π²ΠΈΠ±ΠΎΡΡ 3 - Ρ
ΡΠ΅ΠΊΡΠ΅ΡΠ½ΠΈΡ
ΠΊΠ»ΡΡΡΠ²-Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° Π΄ΡΠ°Π³ΡΠ°ΠΌΠΈ Π€Π΅ΠΉΠ³Π΅Π½Π±Π°ΡΠΌΠ°, ΠΏΠΎΡΠ°ΡΠΊΠΎΠ²ΠΎΠ³ΠΎ Π·Π½Π°ΡΠ΅Π½Π½Ρ ΠΏΠΎΡΠ»ΡΠ΄ΠΎΠ²Π½ΠΎΡΡΡ Ρ Π½ΠΎΠΌΠ΅ΡΠ° ΠΏΠΎΡΠ°ΡΠΊΠΎΠ²ΠΎΠ³ΠΎ ΡΠΌΠΏΡΠ»ΡΡΡ ΠΠΠ, Π° ΡΠ°ΠΊΠΎΠΆ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Π½Ρ Π°Π²ΡΠΎΠΊΠΎΡΠ΅Π»ΡΡΡΠΉΠ½ΠΎΡ ΡΡΠ½ΠΊΡΡΡ ΠΎΡΡΠΈΠΌΠ°Π½Ρ ΠΠΠ Π· ΠΏΡΠΈΠΉΠ½ΡΡΠ½ΠΈΠΌ Π΄Π»Ρ ΠΏΡΠ°ΠΊΡΠΈΡΠ½ΠΎΠ³ΠΎ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½Ρ ΡΡΠ²Π½Π΅ΠΌ Π±ΡΡΠ½ΠΈΡ
ΠΏΠ΅Π»ΡΡΡΠΎΠΊ Π°Π²ΡΠΎΠΊΠΎΡΠ΅Π»ΡΡΡΠΉΠ½ΠΎΡ ΡΡΠ½ΠΊΡΡΡ Π½Π΅ Π±ΡΠ»ΡΡΠ΅ 0,25.
ΠΠΈΡΠ½ΠΎΠ²ΠΊΠΈ. ΠΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½Ρ Π²ΡΠ΄ΠΎΠΌΠΈΡ
ΠΏΡΠ΅Π²Π΄ΠΎΠ²ΠΈΠΏΠ°Π΄ΠΊΠΎΠ²ΠΈΡ
ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠ΅ΠΉ-Π£ΠΎΠ»ΡΠ°, ΠΠ°ΡΠ°ΠΌΠΈ, ΠΠΎΠ»Π΄Π° ΠΏΡΠΈ ΡΡΠ²ΠΎΡΠ΅Π½Π½Ρ ΡΠΈΡΡΠ΅ΠΌ Π· ΡΡΠΌΠΎΠΏΠΎΠ΄ΡΠ±Π½ΠΈΠΌ ΡΠΈΠ³Π½Π°Π»ΠΎΠΌ Π½Π΅ Π·Π°Π±Π΅Π·ΠΏΠ΅ΡΡΡ ΠΏΠΎΠ²Π½Ρ ΠΊΠΎΠ½ΡΡΠ΄Π΅Π½ΡΡΠΉΠ½ΡΡΡΡ ΠΏΠ΅ΡΠ΅Π΄Π°ΡΡ ΡΠ½ΡΠΎΡΠΌΠ°ΡΡΡ, ΠΎΡΠΊΡΠ»ΡΠΊΠΈ ΡΡ
ΠΌΠΎΠΆΠ½Π° ΠΏΡΠ΄ΡΠ±ΡΠ°ΡΠΈ Π² ΠΏΡΠΈΠΉΠΌΠ°ΡΡ. ΠΠ°ΠΉΠ±ΡΠ»ΡΡ ΠΏΡΠΈΠΉΠ½ΡΡΠ½ΠΈΠΌ Π·Π° ΠΊΡΠΈΡΠ΅ΡΡΡΠΌ ΠΌΡΠ½ΡΠΌΡΠΌΡ Π±ΡΡΠ½ΠΎΡ ΠΏΠ΅Π»ΡΡΡΠΊΠΈ Π°Π²ΡΠΎΠΊΠΎΡΠ΅Π»ΡΡΡΠΉΠ½ΠΎΡ ΡΡΠ½ΠΊΡΡΡ -Π½Π΅ Π³ΡΡΡΠ΅ 0,25,Ρ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½Ρ Ρ
Π°ΠΎΡΡ Π½Π° ΠΎΡΠ½ΠΎΠ²Ρ Π»ΠΎΠ³ΡΡΡΠΈΡΠ½ΠΎΠ³ΠΎ Π²ΡΠ΄ΠΎΠ±ΡΠ°ΠΆΠ΅Π½Π½Ρ Π€Π΅ΠΉΠ³Π΅Π½Π±Π°ΡΠΌΠ°. ΠΡΠΈ ΡΡΠ²ΠΎΡΠ΅Π½Π½Ρ ΠΏΡΠ΅Π²Π΄ΠΎΠ²ΠΈΠΏΠ°Π΄ΠΊΠΎΠ²ΠΈΡ
ΠΏΠΎΡΠ»ΡΠ΄ΠΎΠ²Π½ΠΎΡΡΠ΅ΠΉ Π½Π° ΠΎΡΠ½ΠΎΠ²Ρ Ρ
Π°ΠΎΡΡ Π½Π°ΠΉΠΊΡΠ°ΡΡ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΈ Π΄Π°Ρ Π²ΠΈΠ±ΡΡ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ Π·Π½Π°ΡΠ΅Π½Π½Ρ Π΄ΠΈΠ½Π°ΠΌΡΡΠ½ΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° Π΄ΡΠ°Π³ΡΠ°ΠΌΠΈ Π€Π΅ΠΉΠ³Π΅Π½Π±Π°ΡΠΌΠ° Π½Π° ΡΡΠ²Π½Ρ Π³ΡΠ°Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π·Π½Π°ΡΠ΅Π½Π½Ρ, ΡΡΠ²Π½ΠΎΠ³ΠΎ 4, Π· ΡΠΎΡΠ½ΡΡΡΡ 0,05.Background. Telecommunication systems with a broadband signal have undoubted advantages: increased noise immunity with narrowband and wideband interference, confidentiality of information transmission, as well as improved electromagnetic compatibility with neighboring radio-electronic devices. A broadband signal is usually formed by direct spread spectrum using well-known classical pseudo-random sequences (PRS): m-sequences, Kasami, Gold, Walsh sequences, which can be decoded and received at the receiver.
Objective. The aim of the paper is creating PRS on the basis of chaos, which the subscriber is practically unable to decode, and thus ensure increased confidentiality of information transmission.
Methods. Using the mathematical model of chaotic logistic mapping, which, as shown by preliminary studies, provides the best results, as well as referring to the bifurcation diagram of Feigenbaum, the parameters of 3-secret keys are defined and the PRS of the selected length is created. Based on the application of the graphical user interface developed in the MATLAB system, a correlation analysis of the resulting PRS is performed and the PRS is determined with the minimum side lobes of the autocorrelation function.
Results. By empirical decision of 3 secret keys of the dynamic parameter of the Feigenbaum diagram, the initial value of the sequence and the number of the initial pulse of the PRS, as well as the study of the autocorrelation function, we obtained a PRS with a side lobe level of the autocorrelation function acceptable for practical use of no more than 0.25.
Conclusions. The use of well-known pseudo-random sequence: Walshβs, Kasamiβs, Goldβs, creating a system with a noise-like signal doesnβt ensure complete confidentiality of information transmission, since they can be decoded. The most acceptable by the criterion of the side lobe minimum of the autocorrelation function β no worse than 0.25 β is the use of chaos based on the Feigenbaum logistic map. When creating pseudo-random sequences based on chaos, the best results are obtained by choosing the maximum value of the dynamic parameter of the Feigenbaum diagram at the level of the boundary value equal to 4, with an accuracy of 0.05.ΠΡΠΎΠ±Π»Π΅ΠΌΠ°ΡΠΈΠΊΠ°. Π’Π΅Π»Π΅ΠΊΠΎΠΌΠΌΡΠ½ΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΡΠ΅ ΡΠΈΡΡΠ΅ΠΌΡ Ρ ΡΠΈΡΠΎΠΊΠΎΠΏΠΎΠ»ΠΎΡΠ½ΡΠΌ ΡΠΈΠ³Π½Π°Π»ΠΎΠΌ ΠΈΠΌΠ΅ΡΡ Π½Π΅ΡΠΎΠΌΠ½Π΅Π½Π½ΡΠ΅ ΠΏΡΠ΅ΠΈΠΌΡΡΠ΅ΡΡΠ²Π°: ΠΏΠΎΠ²ΡΡΠ΅Π½Π½ΡΠ΅ ΠΏΠΎΠΌΠ΅Ρ
ΠΎΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΡΡΠΈ ΠΏΡΠΈ ΡΠ·ΠΊΠΎΠΏΠΎΠ»ΠΎΡΠ½ΡΡ
ΠΈ ΡΠΈΡΠΎΠΊΠΎΠΏΠΎΠ»ΠΎΡΠ½ΡΡ
ΠΏΠΎΠΌΠ΅Ρ
Π°Ρ
, ΠΊΠΎΠ½ΡΠΈΠ΄Π΅Π½ΡΠΈΠ°Π»ΡΠ½ΠΎΡΡΡ ΠΏΠ΅ΡΠ΅Π΄Π°ΡΠΈ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ, Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠ»ΡΡΡΠ΅Π½Π½ΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΡ ΡΠΎΠ²ΠΌΠ΅ΡΡΠΈΠΌΠΎΡΡΡ Ρ ΡΠΎΡΠ΅Π΄Π½ΠΈΠΌΠΈ ΡΠ°Π΄ΠΈΠΎΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΡΠΌΠΈ ΡΡΡΡΠΎΠΉΡΡΠ²Π°ΠΌΠΈ. Π¨ΠΈΡΠΎΠΊΠΎΠΏΠΎΠ»ΠΎΡΠ½ΡΠΉ ΡΠΈΠ³Π½Π°Π» ΡΠΎΡΠΌΠΈΡΡΠ΅ΡΡΡ ΠΊΠ°ΠΊ ΠΏΡΠ°Π²ΠΈΠ»ΠΎ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠΌ ΠΏΡΡΠΌΠΎΠ³ΠΎ ΡΠ°ΡΡΠΈΡΠ΅Π½ΠΈΡ ΡΠΏΠ΅ΠΊΡΡΠ° Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΈΠ·Π²Π΅ΡΡΠ½ΡΡ
ΠΊΠ»Π°ΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΡΠ΅Π²Π΄ΠΎΡΠ»ΡΡΠ°ΠΉΠ½ΡΠ΅ ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠ΅ΠΉ (ΠΠ‘Π): m-ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠ΅ΠΉ, ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠ΅ΠΉ ΠΠ°ΡΠ°ΠΌΠΈ, ΠΠΎΠ»Π΄Π°,,Π£ΠΎΠ»ΡΠ° ,ΠΊΠΎΡΠΎΡΡΠ΅ Π² ΠΏΡΠΈΠ΅ΠΌΠ½ΠΈΠΊΠ΅ ΠΌΠΎΠΆΠ½ΠΎ ΠΏΠΎΠ΄ΠΎΠ±ΡΠ°ΡΡ ΠΈ ΠΏΡΠΈΠ½ΡΡΡ ΡΠΈΠ³Π½Π°Π». Π¦Π΅Π»Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ. Π‘ΠΎΠ·Π΄Π°Π½ΠΈΠ΅ ΠΠ‘Π Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Ρ
Π°ΠΎΡΠ°, ΠΊΠΎΡΠΎΡΡΠ΅ ΠΏΡΠΈΠ½ΠΈΠΌΠ°ΡΡΠΈΠΉ Π°Π±ΠΎΠ½Π΅Π½Ρ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈ Π½Π΅ ΡΠΌΠΎΠΆΠ΅Ρ ΠΏΠΎΠ΄ΠΎΠ±ΡΠ°ΡΡ, ΠΈ ΡΠ°ΠΊΠΈΠΌ ΠΎΠ±ΡΠ°Π·ΠΎΠΌ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΡΡ ΠΏΠΎΠ²ΡΡΠ΅Π½Π½ΡΡ ΠΊΠΎΠ½ΡΠΈΠ΄Π΅Π½ΡΠΈΠ°Π»ΡΠ½ΠΎΡΡΡ ΠΏΡΠΈΠ΅ΠΌΠ° ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ.
ΠΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ. Π‘ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ Ρ
Π°ΠΎΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π»ΠΎΠ³ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΎΡΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΡ, ΠΊΠΎΡΠΎΡΠ°Ρ, ΠΊΠ°ΠΊ ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ ΠΏΡΠ΅Π΄Π²Π°ΡΠΈΡΠ΅Π»ΡΠ½ΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ, ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°Π΅Ρ Π½Π°ΠΈΠ»ΡΡΡΠΈΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ, Π° ΡΠ°ΠΊΠΆΠ΅ ΠΎΠ±ΡΠ°ΡΠ°ΡΡΡ ΠΊ Π±ΠΈΡΡΡΠΊΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΉ Π΄ΠΈΠ°Π³ΡΠ°ΠΌΠΌΠ΅ Π€Π΅ΠΉΠ³Π΅Π½Π±Π°ΡΠΌΠ° ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΡΡΡΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ 3-ΡΠ΅ΠΊΡΠ΅ΡΠ½ΡΡ
ΠΊΠ»ΡΡΠ΅ΠΉ ΠΈ ΡΠΎΠ·Π΄Π°ΡΡΡΡ ΠΠ‘Π Π²ΡΠ±ΡΠ°Π½Π½ΠΎΠΉ Π΄Π»ΠΈΠ½Ρ. ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΠΎΠ³ΠΎ Π² ΡΠΈΡΡΠ΅ΠΌΠ΅ ΠΠΠ’ΠΠΠ Π³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΈΠ½ΡΠ΅ΡΡΠ΅ΠΉΡΠ° ΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΠ΅Π»Ρ ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΠ΅ΡΡΡ ΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
ΠΠ‘Π ΠΈ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΡΡΡΡ ΠΠ‘Π Ρ ΠΌΠΈΠ½ΠΈΠΌΠ°Π»ΡΠ½ΡΠΌ ΡΡΠΎΠ²Π½Π΅ΠΌ Π±ΠΎΠΊΠΎΠ²ΡΡ
Π»Π΅ΠΏΠ΅ΡΡΠΊΠΎΠ² Π°Π²ΡΠΎΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΠΎΠΉ ΡΡΠ½ΠΊΡΠΈΠΈ.
Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ. ΠΡΡΠ΅ΠΌ ΡΠΌΠΏΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π²ΡΠ±ΠΎΡΠ° 3- Ρ
ΡΠ΅ΠΊΡΠ΅ΡΠ½ΡΡ
ΠΊΠ»ΡΡΠ΅ΠΉ-Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° Π΄ΠΈΠ°Π³ΡΠ°ΠΌΠΌΡ Π€Π΅ΠΉΠ³Π΅Π½Π±Π°ΡΠΌΠ°, Π½Π°ΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ Π·Π½Π°ΡΠ΅Π½ΠΈΡ ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ ΠΈ Π½ΠΎΠΌΠ΅ΡΠ° Π½Π°ΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΈΠΌΠΏΡΠ»ΡΡΠ° ΠΠ‘Π, Π° ΡΠ°ΠΊΠΆΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ Π°Π²ΡΠΎΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΠΎΠΉ ΡΡΠ½ΠΊΡΠΈΠΈ ΠΏΠΎΠ»ΡΡΠ΅Π½Ρ ΠΠ‘Π Ρ ΠΏΡΠΈΠ΅ΠΌΠ»Π΅ΠΌΡΠΌ Π΄Π»Ρ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ ΡΡΠΎΠ²Π½Π΅ΠΌ Π±ΠΎΠΊΠΎΠ²ΡΡ
Π»Π΅ΠΏΠ΅ΡΡΠΊΠΎΠ² Π°Π²ΡΠΎΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΠΎΠΉ ΡΡΠ½ΠΊΡΠΈΠΈ Π½Π΅ Π±ΠΎΠ»Π΅Π΅ 0,25.
ΠΡΠ²ΠΎΠ΄Ρ. ΠΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΈΠ·Π²Π΅ΡΡΠ½ΡΡ
ΠΏΡΠ΅Π²Π΄ΠΎΡΠ»ΡΡΠ°ΠΉΠ½ΡΡ
ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠ΅ΠΉ-Π£ΠΎΠ»ΡΠ°, ΠΠ°ΡΠ°ΠΌΠΈ, ΠΠΎΠ»Π΄Π° ΠΏΡΠΈ ΡΠΎΠ·Π΄Π°Π½ΠΈΠΈ ΡΠΈΡΡΠ΅ΠΌ Ρ ΡΡΠΌΠΎΠΏΠΎΠ΄ΠΎΠ±Π½ΡΠΌ ΡΠΈΠ³Π½Π°Π»ΠΎΠΌ Π½Π΅ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡ ΠΏΠΎΠ»Π½ΡΡ ΠΊΠΎΠ½ΡΠΈΠ΄Π΅Π½ΡΠΈΠ°Π»ΡΠ½ΠΎΡΡΡ ΠΏΠ΅ΡΠ΅Π΄Π°ΡΠΈ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ, ΠΏΠΎΡΠΊΠΎΠ»ΡΠΊΡ ΠΈΡ
ΠΌΠΎΠΆΠ½ΠΎ ΠΏΠΎΠ΄ΠΎΠ±ΡΠ°ΡΡ Π² ΠΏΡΠΈΠ΅ΠΌΠ½ΠΈΠΊΠ΅. ΠΠ°ΠΈΠ±ΠΎΠ»Π΅Π΅ ΠΏΡΠΈΠ΅ΠΌΠ»Π΅ΠΌΡΠΌ ΠΏΠΎ ΠΊΡΠΈΡΠ΅ΡΠΈΡ ΠΌΠΈΠ½ΠΈΠΌΡΠΌΠ° Π±ΠΎΠΊΠΎΠ²ΠΎΠ³ΠΎ Π»Π΅ΠΏΠ΅ΡΡΠΊΠ° Π°Π²ΡΠΎΠΊΠΎΡΡΠ΅Π»ΡΡΠΈΠΎΠ½Π½ΠΎΠΉ ΡΡΠ½ΠΊΡΠΈΠΈ βΠ½Π΅ Ρ
ΡΠΆΠ΅ 0,25 ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ Ρ
Π°ΠΎΡΠ° Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π»ΠΎΠ³ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΎΡΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΡ Π€Π΅ΠΉΠ³Π΅Π½Π±Π°ΡΠΌΠ°. ΠΡΠΈ ΡΠΎΠ·Π΄Π°Π½ΠΈΠΈ ΠΏΡΠ΅Π²Π΄ΠΎΡΠ»ΡΡΠ°ΠΉΠ½ΡΡ
ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠ΅ΠΉ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Ρ
Π°ΠΎΡΠ° Π½Π°ΠΈΠ»ΡΡΡΠΈΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ Π΄Π°Π΅Ρ Π²ΡΠ±ΠΎΡ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ Π·Π½Π°ΡΠ΅Π½ΠΈΡ Π΄ΠΈΠ½Π°ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° Π΄ΠΈΠ°Π³ΡΠ°ΠΌΠΌΡ Π€Π΅ΠΉΠ³Π΅Π½Π±Π°ΡΠΌΠ° Π½Π° ΡΡΠΎΠ²Π½Π΅ Π³ΡΠ°Π½ΠΈΡΠ½ΠΎΠ³ΠΎ Π·Π½Π°ΡΠ΅Π½ΠΈΡ, ΡΠ°Π²Π½ΠΎΠ³ΠΎ 4, Ρ ΡΠΎΡΠ½ΠΎΡΡΡΡ 0,05
LARVAL STAGES OF TREMATODES IN FRESHWATER SNAILS OF THE CHORNOBYL ZONE OF RADIOACTIVE CONTAMINATION
In 1986, at the Chornobyl Nuclear Power Plant in the Exclusion Zone after an industrial accident, ecosystems began to have several features that distinguish them from the objects of the natural reserve fund. Parasitic systems are an informative indicator of the state of the ecosystem, which is now sporadically applied in the Exclusion Zone. Any change in the parasite population can lead to changes in the host population. The degree of imbalance in the βparasite-hostβ system depends on the strength and nature of the influence of external factors. At the same time, the presence of mutual adaptations of parasitic organisms and snails gives grounds to consider the βparasitehostβ system comprehensively. Freshwater gastropod snails of various systematic groups, which can be intermediate and secondary hosts for trematode agents, were selected as an object of the study. In order to study freshwater gastropod snails for the presence of larval stages of helminths, snails were collected from such locations as Krasne Lake, Ilya River, Chernobyl Nuclear Power Plant cooling pond, bypass channel of the Chernobyl Nuclear Power Plant cooling pond, left bank of the Prypiat floodplain, Koshevka oxbow lake, Hrubchanskyi canal in the Meshevo village. Based on the results of the research, the presence of larval stages of trematode agents at different stages of their development (redia and metacercaria) parasitizing in the freshwater snails Lymnae stagnalis and Radix auricularia was establishe