ДИНАМІЧНІ І ТОПОЛОГІЧНІ ІНВАРІАНТИ НЕЛІНІЙНОЇ ДИНАМИКИ ХАОТИЧНИХ ЛАЗЕРНИХ ДІОДІВ З ДОДАТКОВОЮ ОПТИЧНОЮ ІНЖЕКЦІЄЮ
DOI:
https://doi.org/10.18524/0235-2435.2020.29.225636Ключові слова:
хаотична динаміка, лазерні діоди, динамічні та топологічні інваріантиАнотація
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.
Посилання
Wang A.-B, , Wang Y.-C., Wang J.-F., Route to broadband chaos in a chaotic laser diode subject to optical injection. Optics Letters. 2009, 34(8), 1144-1146.
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.
Zhang C.; Katsouleas T.; Joshi C. Harmonic frequency generation & chaos in laser driven molecular vibrations. In Proc. of Short-wavelength Physics with Intense Laser Pulses, San-Diego. 1993.
Berman, G.; Bulgakov, E.; Holm, D. Nonlinear resonance and dynamical chaos in diatomic molecule driven by a resonant IR field. Phys. Rev. A 1995, 52, 3074
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
Mashkantsev, A. A. ; Ignatenko, A.V. ; Kirianov, S.V. ; Pavlov, E.V. Chaotic dynamics of diatomic molecules in an electromagneic field. Photoelectronics. 2018, 27, 103-112.
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.
Danilov, V., Kruglyak, Y., Pechenaya, V. Electron density-bond order matrix and the spin density in the restricted CI method. Theor. Chim Acta. 1969, 13(4), 288-296.
Danilov, V., Kruglyak, Y., Kuprievich, V., Ogloblin, V. Electronic aspects of photodimerization of the pyrimidine bases and of their derivatives. Theor. Chim.Acta. 1969, 14(3), 242-249.
Gottwald, G.A. ; Melbourne, I. Testing for chaos in deterministic systems with noise. Physica D. 2005, 212, 100-110.
Abarbanel, H.; Brown, R.; Sidorowich, J; Tsimring, L. The analysis of observed chaotic data in physical systems. Rev. Mod. Phys. 1993, 65, 1331- 1392.
Packard, N.; Crutchfield, J; Farmer, J.; Shaw, R. Geometry from a time series Phys. Rev. Lett. 1988, 45, 712-716.
Kennel, M.; Brown, R.; Abarbanel, H. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A. 1992, 45, 3403-3412.
Gallager, R. Information theory and reliable communication. N.-Y., 1986.
Grassberger, P. ; Procaccia, I. Measuring the strangeness of strange attractors. Physica D. 1983, 9, 189-208.
Theiler, J.; Eubank, S.; Longtin, A.; Galdrikian, B.; Farmer, J. Testing for nonlinearity in time series: The method of surrogate data. Phys.D. 1992, 58, 77-94.
Sano, M.; Sawada, Y. Measurement of Lyapunov spectrum from chaotic time series. Phys.Rev.Lett. 1995, 55, 1082.
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.
Khetselius, O. Forecasting evolutionary dynamics of chaotic systems using advanced non-linear prediction method In Dynamical Systems Applications; Awrejcewicz, J., Kazmierczak, M., Olejnik, P., Mrozowski, J., Eds.; Łódz, 2013; Vol T2, pp 145-152.
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.
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.
Khestelius, O.Yu. Hyperfine structure of atomic spectra. Astroprint: Odessa, 2008.
Glushkov A.; Khetselius O.; Svinarenko A. Theoretical spectroscopy of auto ionization resonances in spectra of lanthanide atoms. Phys. Scr. 2013, T153, 014029.
Glushkov A. Spectroscopy of cooperative muon-gamma-nuclear processes: Energy and spectral parameters J. Phys.: Conf. Ser. 2012, 397, 012011
Khetselius O Spectroscopy of cooperative electron-gamma-nuclear processes in heavy atoms: NEET effect. J. Phys.: Conf. Ser. 2012, 397, 012012.
Ivanova, E., Ivanov, L., Glushkov, A., Kramida, A. High order corrections in the relativistic perturbation theory with the model zeroth approximation, Mg-Like and Ne-Like Ions. Phys. Scr. 1985, 32, 513-522
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.
##submission.downloads##
Опубліковано
Номер
Розділ
Ліцензія
Ця робота ліцензується відповідно до Creative Commons Attribution-NonCommercial 4.0 International License.
авторське право переходить до видання.