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Nonlinear Dynamics and Pattern Formation

160 works

  1. Discrete solitons in arrays of positive and negative index waveguides

    Dmitry A. Zezyulin, V. V. Konotop, F. Kh. Abdullaev

    ArticleNonlinear Photonic SystemsOptics Letters20120 citations
    ABI

  2. A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions

    Jamol I. Baltaev, Milan Kučera, Martin Väth

    ArticleAdvanced Mathematical Modeling in EngineeringApplications of Mathematics20120 citations
    ABI

  3. On the Behaviour of the spectral characteristic of Feigenbaum’s map

    Akhtam Dzhalilov, Vatan Karakaya, Necip Şi̇mşek

    ArticleMathematical Dynamics and FractalsP-Adic Numbers Ultrametric Analysis and Applications20120 citations
    ABI

  4. On the Phase Portrait Phase Portrait of the System $${{\dot x} = {Ax} + {\langle a, x\rangle x}}$$

    Абдулла Азамов, Dilmurod Boytillaev

    ArticleNonlinear Dynamics and Pattern FormationQualitative Theory of Dynamical Systems20120 citations
    ABI

  5. Distortional Lifshitz Vectors and Helicity in Nematic Free Energy Density

    Amelia Carolina Sparavigna

    ArticleLiquid Crystal Research AdvancementsSSRN Electronic Journal20120 citations
    ABI

  6. Dynamics of fronts in optical media with linear gain and nonlinear losses

    Izzatjon Allayarov, E. N. Tsoy

    ArticleNonlinear Dynamics and Pattern FormationPhysics Letters A20130 citations
    ABI

  7. Moving discrete breathers in a monoatomic two-dimensional crystal

    Andrey A. Kistanov, Ramil T. Murzaev, Sergey V. Dmitriev +2

    ArticleNonlinear Photonic SystemsJournal of Experimental and Theoretical Physics Letters20140 citations
    ABI

  8. Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems?

    Elvise Berchio, Filippo Gazzola, Chiara Zanini

    PreprintQuantum chaos and dynamical systemsarXiv (Cornell University)20140 citations
    ABI

  9. Time-dependent quantum circular billiard

    D. Babajanov, D. U. Matrasulov, Z. A. Sobirov +2

    ArticleQuantum chaos and dynamical systemsNanosystems Physics Chemistry Mathematics20150 citations
    ABI

  10. Simulation of the temperature dependence of the Shubnikov-de Haas oscillations in semiconductors

    G. Gulyamov, Ulugbek Inayatillayevich Erkaboev

    ArticleQuantum and electron transport phenomenaUzbekiston Fizika Zhurnali20160 citations
    ABI

  11. Nonlinear standing waves on planar branched systems: shrinking into metric graph

    Z. A. Sobirov, D. Babajanov, D. U. Matrasulov

    ArticleNonlinear Photonic SystemsNanosystems Physics Chemistry Mathematics20170 citations
    ABI

  12. Introduction to nonlinear discrete systems: theory and modelling

    E. N. Tsoy, Bakhram Umarov

    ArticleNonlinear Photonic SystemsEuropean Journal of Physics20180 citations
    ABI

  13. Initial boundary value problems for a fractional differential equation with hyper-Bessel operator

    Fatma Al-Musalhi, Nasser Al-Salti, Erkinjon Karimov

    PreprintComplex Systems and Time Series AnalysisFractional Calculus and Applied Analysis20180 citations
    ABI

  14. Semisimple Leibniz algebras, their derivations and automorphisms

    Shavkat Ayupov, Karimbergen Kudaybergenov, B. A. Omirov +1

    ArticleAdvanced Topics in AlgebraLinear and Multilinear Algebra20190 citations
    ABI

  15. Nonlinearity managed dissipative solitons

    F. Kh. Abdullaev, Sadulla Sh. Tadjimuratov, A. A. Abdumalikov

    PreprintAdvanced Fiber Laser TechnologiesarXiv (Cornell University)20200 citations
    ABI

  16. Evolution algebras and dynamical systems of a worm propagation model

    Uygun Jamilov, M. Ladra

    ArticleNonlinear Dynamics and Pattern FormationLinear and Multilinear Algebra20210 citations
    ABI

  17. Macroscopic descriptions of follower-leader systems

    Sara Bernardi, Gissell Estrada-Rodriguez, Heiko Gimperlein +1

    PreprintInsect and Arachnid Ecology and BehaviorKinetic and Related Models20210 citations
    ABI

  18. 2D Reflexive CA Rules over ℤ<sub>p</sub>

    Doston Jumaniyozov, Shovkat Redjepov, Otaxon Khudayberganov

    ArticleCellular Automata and Applications20220 citations
    ABI

  19. Discrete Solitons of the Ginzburg-Landau Equation

    Mario Salerno, F. Kh. Abdullaev

    ChapterNonlinear Photonic SystemsSpringer series in optical sciences/SPringer series in optical sciences20220 citations
    ABI

  20. Dynamics of Stochastic Cesaro Operators

    Otabek Khakimov

    ChapterAdvanced Topics in AlgebraSpringer proceedings in mathematics & statistics20220 citations
    ABI

  21. Multistability and Four-Scroll Chaos in a Pair of Coupled Second-Order Damped Oscillators with Hyperbolic Sine Function: Theoretical Study and Circuit Simulation

    Sridevi Sriram, Lucas Kana Kemgang, M. F. Rakhmatullaeva +2

    ArticleChaos control and synchronizationCircuits Systems and Signal Processing20230 citations
    ABI

  22. Manakov System on Metric Graphs: Modeling the Reflectionless Propagation of Vector Solitons in Networks

    Jambul Yusupov, Khikmat Matyokubov, Matthias Ehrhardt +1

    ArticleNonlinear Dynamics and Pattern FormationSSRN Electronic Journal20230 citations
    ABI

  23. Discrete Sine-Gordon Equation on Metric Graphs: A Simple Model for Josephson Junction Networks

    M. Akramov, Jambul Yusupov, I. N. Askerzade +1

    PreprintNonlinear Photonic SystemsSSRN Electronic Journal20230 citations
    ABI

  24. Optimal control of the dynamics of nonlinear oscillating systems using synergetic principles of self-organization

    Isamiddin Siddikov, Umurzakova Dilnoza Maxamadjanovna

    ArticleGreenhouse Technology and Climate ControlInternational Journal of Power Electronics and Drive Systems/International Journal of Electrical and Computer Engineering20240 citations
    ABI

  25. Observational constraints on freezing quintessence in a nonlinear f(R,Lm) gravity

    Yerlan Myrzakulov, M. Koussour, S. Ayhan Çalışkan +3

    ArticleBlack Holes and Theoretical PhysicsInternational Journal of Geometric Methods in Modern Physics20240 citations
    ABI