• C. Кір’янов
  • A. Mashkantsev
  • I. Bilan
  • A. Ignatenko




Нелінійна хаотична динаміка хаотичних лазерних діодів з додатковою оптичної інжекцією розраховується в рамках моделі швидкісних рівнянь, зокрема, моделі, заснованої на системі швидкісних рівнянь для комплексної електричної амплітуди лазера і густини носіів. Для аналізу динаміки системи в хаотичному режимі використані методи нелінійного аналізу та теорії хаосу, у т.ч., метод кореляційного інтеграла, аналіз на основі показників Ляпунова, ентропії Колмогорова т.і. Надані  дані обчислення динамічних і топологічних інваріантів: розмірностей  кореляційної, вкладення, Каплана-Йорка,  показників Ляпунова, та інших.


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Pavlov E.V., Ignatenko A.V., Krianov S.V., ,Mashkantsev A.A., Dynamical and topological invariants of PbO dynamics in a resonant electromagnetic field. Photoelectronics. 2019, 28, 121-126.

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Glushkov, A.V. Spectroscopy of atom and nucleus in a strong laser field: Stark effect and multiphoton resonances. J. Phys.: Conf. Ser. 2014, 548, 012020.

Ignatenko A., Buyadzhi A., Buyadzhi V., Kuznetsova, A.A., Mashkantsev, A.A., Ternovsky E. Nonlinear chaotic dynamics of quantum systems: molecules in an electromagnetic field. Adv. Quant Chem. 2019, 78, 149-170.

Glushkov, A., Buyadzhi, V., Kvasikova, A., Ignatenko, A., Kuznetsova, A., Prepelitsa, G., Ternovsky, V. Non-Linear chaotic dynamics of quantum systems: Molecules in an electromagnetic field and laser systems. In: Quantum Systems in Physics, Chemistry, and Biology. Springer, Cham. 2017, 30, 169-180

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Glushkov A., Ternovsky V., Buyadzhi V, Prepelitsa G. Geometry of a relativistic quantum chaos: New approach to dynamics of quantum systems in electromagnetic field and uniformity and charm of a chaos. Proc. Int. Geom. Center. 2014, 7(4), 60-71.

Glushkov A.V.; Ivanov, L.N. DC strong-field Stark effect: consistent quantum-mechanical approach. J. Phys. B: At. Mol. Opt. Phys. 1993, 26, L379-386.

Ignatenko, A.; Buyadzhi ,A.; Buyadzhi, V.; Kuznetsova,A.; Mashkantsev, A.; Ternovsky E. Nonlinear chaotic dynamics of quantum systems: molecules in an electromagnetic field. Adv. Quant. Chem. 2019, 78, 149-170.

Glushkov, A.V. True effective molecular valency Hamiltonian in a logical semiempricial theory. Journal of Structural Chem. 1988, 29(4), 495-501.

Glushkov, A.V. Operator Perturbation Theory for Atomic Systems in a Strong DC Electric Field. In Advances in Quantum Methods and Applications in Chemistry, Physics, and Biology,; Hotokka, M., Brändas, E., Maruani, J., Delgado-Barrio, G., Eds.; Springer: Cham, 2013; 27, pp 161–177.

Malinovskaya, S.V.; Glushkov, A.V.; Khetselius, O.Yu.; Svinarenko, A.A.; Mischenko, E.V.; Florko, T.A. Optimized perturbation theory scheme for calculating the interatomic potentials and hyperfine lines shift for heavy atoms in the buffer inert gas. Int. J. Quant. Chem. 2009, 109(4), 3325-3329.

Glushkov A; Khetselius O; Malinovskaya S. Optics and spectroscopy of cooperative laser-electron nuclear processes in atomic and molecular systems – new trend in quantum optics. Europ. Phys. Journ. ST 2008, 160, 195-204.

Glushkov, A.V.; Khetselius, O.Yu.; Malinovskaya, S.V. Spectroscopy of cooperative laser–electron nuclear effects in multiatomic molecules. Molec. Phys. 2008, 106, 1257-1260.

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Glushkov, A.V. Methods of a Chaos Theory. OSENU: Odessa, 2012.

Glushkov, A.V.; Khetselius, O.Yu.; Brusentseva, S.V.; Zaichko, P.A.; Ternovsky, V.B. Studying interaction dynamics of chaotic systems within a non-linear prediction method: Application to neurophysiology In Advances in Neural Networks, Fuzzy Systems and Artificial Intelligence, Series: Recent Advances in Computer Engineering; Balicki, J., Ed.; WSEAS Press: Gdansk, 2014; Vol 21, pp 69-75.

Glushkov, A.; Prepelitsa, G.; Svinarenko, A.; Zaichko, P. Studying interaction dynamics of the non-linear vibrational systems within non-linear prediction method (application to quantum autogenerators) In Dynamical Systems Theory; Awrejcewicz, J., Kazmierczak, M., Olejnik, P., Mrozowski, J., Eds.; Łódz, 2013; Vol T1, pp 467-477.

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Khetselius, O.; Brusentseva, S.; Tkach, T. Studying interaction dynamics of chaotic systems within non-linear prediction method: Application to neurophysiology In Dynamical Systems Applications, Awrejcewicz, J, Kazmierczak, M, Olejnik, P., Mrozowski, J., Eds.; Łódz, 2013; T2, pp 251-259.

Glushkov, A.; Khetselius, O.; Brusentseva, S.; Duborez, A. Modeling chaotic dynamics of complex systems with using chaos theory, geometric attractors, quantum neural networks. Proc Int. Geom. Center. 2014, 7(3), 87-94.

Glushkov, A.V.; Bunyakova, Yu.Ya.; Zaichko, P.A. Geometry of Chaos: Consistent combined approach to treating chaotic dynamics atmospheric pollutants and its forecasting. Proc. Intern. Geom. Center. 2013, 6(3),6-14.

Khetselius, O.Yu.; Florko, T.A.; Svinarenko, A.A.; Tkach, T.B. Radiative and collisional spectroscopy of hyperfine lines of the Li-like heavy ions and Tl atom in an atmosphere of inert gas. Phys. Scripta. 2013, T153, 014037

Khetselius, O.Yu. Relativistic calculating the hyperfine structure parameters for heavy-elements and laser detecting the isotopes and nuclear reaction products. Phys. Scripta. 2009, T135, 014023.

Svinarenko, A.A. Study of spectra for lanthanides atoms with relativistic many- body perturbation theory: Rydberg resonances. J. Phys.: Conf. Ser. 2014, 548, 012039

Khetselius, O.Yu. Atomic parity non-conservation effect in heavy atoms and observing P and PT violation using NMR shift in a laser beam: To precise theory. J. Phys.: Conf. Ser. 2009, 194, 022009.

Glushkov, A.; Loboda, A.; Gurnitskaya, E.; Svinarenko, A. QED theory of radiation emission and absorption lines for atoms in a strong laser field. Phys. Scripta. 2009, 135, 014022.

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Glushkov, A.V.; Khetselius,O.Yu.; Svinarenko,A.A.; Buyadzhi, V.V. Spectroscopy of autoionization states of heavy atoms and multiply charged ions (Odessa: TEC) -2015.

Glushkov, A.V.; Buyadzhi, V.V.; Ponomarenko, E.L. Geometry of Chaos: Advanced approach to treating chaotic dynamics in some nature systems. Proc. Int. Geom. Center. 2014 7(1),24-30.

Glushkov A., Khetselius O., Kruglyak Yu., Ternovsky V. Calculational Methods in Quantum Geometry and Chaos theory. P.3. Odessa , 2014.

Glushkov A., Khetselius O., Svinarenko A, Buyadzhi V. Methods of computatio-nal mathematics and mathematical phys. P.1.TES, Odessa, 2015.