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Nonlinear Dynamics and Pattern Formation

160 works

  1. Non-Markovian dynamics of quantum systems. I. Formalism and transport coefficients

    Z. Kanokov, Yu. V. Palchikov, G. G. Adamian +2

    ArticleAdvanced Thermodynamics and Statistical MechanicsPhysical Review E200525 citations
    ABI

  2. Soliton transport in tubular networks: Transmission at vertices in the shrinking limit

    Hannes Uecker, Daniel Grieser, Z. A. Sobirov +2

    ArticleNonlinear Photonic SystemsPhysical Review E201523 citations
    ABI

  3. Fertile HC models with three states on a cayley tree

    U. A. Rozikov, Sh. A. Shoyusupov

    ArticleNonlinear Dynamics and Pattern FormationTheoretical and Mathematical Physics200822 citations
    ABI

  4. Transparent nonlinear networks

    Jambul Yusupov, K.K. Sabirov, Matthias Ehrhardt +1

    ArticleNonlinear Photonic SystemsPhysical review. E201916 citations
    ABI

  5. Discrete Dynamical Systems of Lotka–Volterra and Their Applications on the Modeling of the Biogen Cycle in Ecosystem

    Sh. J. Seytov, Dilfuza Eshmamatova

    ArticleMathematical and Theoretical Epidemiology and Ecology ModelsLobachevskii Journal of Mathematics202315 citations
    ABI

  6. A chain of evolution algebras

    J. M. Casas, M. Ladra, U. A. Rozikov

    ArticleNonlinear Dynamics and Pattern FormationLinear Algebra and its Applications201114 citations
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  7. Study parabolic type diffusion equations with double nonlinearity

    D K Muhamediyeva

    ArticleMathematical and Theoretical Epidemiology and Ecology ModelsJournal of Physics Conference Series202014 citations
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  8. Numerical Investigation of Solutions to a Reaction-diffusion System with Variable Density

    Shahlo A. Sadullaeva

    ArticleDifferential Equations and Numerical MethodsJournal of Siberian Federal University Mathematics & Physics201614 citations
    ABI

  9. An asymptotic analysis of a self-similar solution for the double nonlinear reaction-diffusion system

    Мерсаид Арипов, Shakhlo Sadullaeva

    ArticleNonlinear Dynamics and Pattern FormationNanosystems Physics Chemistry Mathematics201513 citations
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  10. Transport in simple networks described by an integrable discrete nonlinear Schrödinger equation

    Katsuhiro Nakamura, Z. A. Sobirov, D. U. Matrasulov +1

    ArticleNonlinear Photonic SystemsPhysical Review E20119 citations
    ABI

  11. Stochastic regimes in some autowave and oscillator systems with periodic perturbations

    Akhmadjon Soleev, Isay Rozet, Yaxyo Mukhtarov

    ArticleNonlinear Dynamics and Pattern FormationAIP conference proceedings20246 citations
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  12. Krause Mean Processes Generated by Cubic Stochastic Diagonally Primitive Matrices

    Khikmat Saburov

    ArticleOpinion Dynamics and Social InfluenceMathematical Notes20235 citations
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  13. Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field

    Obid Sh. Karshiboev

    ArticleQuantum chaos and dynamical systemsTheoretical and Mathematical Physics20225 citations
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  14. Phase transition for the SOS model under inhomogeneous external field on a Cayley tree

    M. M. Rahmatullaev, Obid Sh. Karshiboev

    ArticleNonlinear Dynamics and Pattern FormationPhase Transitions20225 citations
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  15. About one exact solution to the nonlinear problem of a biological population with absorption in a heterogeneous medium

    Мерсаид Арипов, Maftuha Sayfullayeva, Firuza Kabiljanova +1

    ArticleAdvanced Mathematical Physics ProblemsAIP conference proceedings20243 citations
    ABI

  16. A unified analytical framework for chaos, sensitivity, and modulation instability with exact solutions of a newer form of Boussinesq equation

    Melike Kaplan, Nauman Raza, I.Yu. Davletov +2

    ArticleNonlinear Waves and SolitonsPhysics Letters A20253 citations
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  17. Soliton dynamics in directional couplers with variable coupling

    S. A. Darmanyan

    ArticleNonlinear Photonic SystemsOptics Communications19923 citations
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  18. Autosoliton in Ablowitz–Ladik chain with linear damping and nonlinear amplification

    F. Kh. Abdullaev, A. A. Abdumalikov, Bakhram Umarov

    ArticleNonlinear Photonic SystemsPhysics Letters A20023 citations
    ABI

  19. Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation

    E. N. Tsoy, Adrian Ankiewicz, Nail Akhmediev

    ArticleNonlinear Dynamics and Pattern FormationPhysical Review E20062 citations
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  20. Protocol of networks using energy sharing collisions of bright solitons

    Katsuhiro Nakamura, T. Kanna, K. Sakkaravarthi

    ArticleNonlinear Photonic SystemsPramana20152 citations
    ABI

  21. A simple anti-parallel diodes based chaotic jerk circuit with arcsinh function: theoretical analysis and experimental verification

    Jacques Kengne, Léandre Kamdjeu Kengne, Jean Chamberlain Chedjou +1

    ArticleChaos control and synchronizationAnalog Integrated Circuits and Signal Processing20212 citations
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  22. Orbital stability analysis of trajectories of highly nonlinear dynamic systems with feedback coupling

    G. K. Annakulova

    ArticleAdvanced Differential Equations and Dynamical SystemsJournal of Physics Conference Series20212 citations
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  23. Implicit Finite-Difference Scheme for a Duffing Oscillator with a Derivative of Variable Fractional Order of the Riemann-Liouville Type

    Valentine Aleksandrovich Kim, Roman Parovik, Zafar Rakhmonov

    ArticleFractional Differential Equations SolutionsMathematics20232 citations
    ABI

  24. Pulse Tunneling Effect. Features Interaction with Substance

    R.KH. RAKHIMOV, V.P. YERMAKOV

    ArticleLaser Design and ApplicationsComputational nanotechnology20242 citations
    ABI

  25. Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks

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

    ArticleNonlinear Photonic SystemsPhysica Scripta20232 citations
    ABI