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  1. 101

    Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases by Gauhar Ali, Ghazala Nazir, Kamal Shah, Yongjin Li

    Published 2020-01-01
    “…This manuscript is devoted to investigate qualitative theory of existence and uniqueness of the solution to a dynamical system of an infectious disease known as measles. …”
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    Article
  2. 102

    Global attractor for the lattice dynamical system of a nonlinear Boussinesq equation by Ahmed Y. Abdallah

    Published 2005-01-01
    “…We will study the lattice dynamical system of a nonlinear Boussinesq equation. Our objective is to explore the existence of the global attractor for the solution semiflow of the introduced lattice system and to investigate its upper semicontinuity with respect to a sequence of finite-dimensional approximate systems. …”
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  3. 103
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    Exponential Attractor for a First-Order Dissipative Lattice Dynamical System by Xiaoming Fan

    Published 2008-01-01
    “…We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ℝ𝑘. …”
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  5. 105

    Exact Solutions of Travelling Wave Model via Dynamical System Method by Heng Wang, Longwei Chen, Hongjiang Liu

    Published 2016-01-01
    “…By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. …”
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  6. 106

    Dynamical System Analysis of Interacting Hessence Dark Energy in f(T) Gravity by Jyotirmay Das Mandal, Ujjal Debnath

    Published 2017-01-01
    “…We have carried out dynamical system analysis of hessence field coupling with dark matter in f(T) gravity. …”
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    Modeling of Macroeconomics by a Novel Discrete Nonlinear Fractional Dynamical System by Zhenhua Hu, Wen Chen

    Published 2013-01-01
    “…The application of discrete fractional economic model with linear and nonlinear structure is shown to illustrate the efficiency of modeling the macroeconomic data with discrete fractional dynamical system. The empirical study suggests that the nonlinear discrete fractional dynamical system can describe the actual economic data accurately and predict the future behavior more reasonably than the linear dynamic system. …”
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  9. 109

    On Inequalities of Lyapunov for Two-Dimensional Nonlinear Dynamic Systems on Time Scales by Qiao-Luan Li, Wing-Sum Cheung, Xu-Yang Fu

    Published 2013-01-01
    “…We establish some new Lyapunov-type inequalities for two-dimensional nonlinear dynamic systems on time scales. As for application, boundedness of the Emden-Fowler-type equation is proved.…”
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    A New Type of Distributed Parameter Control Systems: Two-Point Boundary Value Problems for Infinite-Dimensional Dynamical Systems by De-Xing Kong, Fa Wu

    Published 2013-01-01
    “…This survey note describes a new type of distributed parameter control systems—the two-point boundary value problems for infinite-dimensional dynamical systems, particularly, for hyperbolic systems of partial differential equations of second order, some of the discoveries that have been done about it and some unresolved questions.…”
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