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  1. 41
  2. 42

    Rank One Strange Attractors in Periodically Kicked Lorenz System with Time-Delay by Wenjie Yang, Yiping Lin, Yunxian Dai

    Published 2015-01-01
    “…Rank one strange attractor in periodically kicked Lorenz system with time-delay is investigated. …”
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    Article
  3. 43

    Abundant Coexisting Multiple Attractors’ Behaviors in Three-Dimensional Sine Chaotic System by Huagan Wu, Han Bao, Quan Xu, Mo Chen

    Published 2019-01-01
    “…The presented sine system possesses nine equilibrium points consisting of five index-2 saddle foci and four index-1 saddle foci which allow the coexistence of various types of disconnected attractors, also known as multistability. The coexisting multiple attractors are depicted by the phase plots and attraction basins. …”
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    Article
  4. 44

    Pullback Attractor for Nonautonomous Primitive Equations of Large-Scale Ocean and Atmosphere Dynamics by Kun Li, Fang Li

    Published 2013-01-01
    “…We consider the existence of -pullback attractor for nonautonomous primitive equations of large-scale ocean and atmosphere dynamics in a three-dimensional bounded cylindrical domain by verifying pullback condition.…”
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    Article
  5. 45

    Pullback Exponential Attractors for Nonautonomous Klein-Gordon-Schrödinger Equations on Infinite Lattices by Chunqiu Li, Min Zhao, Caidi Zhao

    Published 2013-01-01
    “…This paper proves the existence of the pullback exponential attractor for the process associated to the nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices.…”
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    Article
  6. 46

    Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations by Jie Xin, Hong Lu

    Published 2011-01-01
    “…We prove the existence of the random attractor for the stochastic discrete long wave-short wave resonance equations in an infinite lattice. …”
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    Article
  7. 47
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  9. 49

    Existence of Solution and Self-Exciting Attractor in the Fractional-Order Gyrostat Dynamical System by Muhammad Marwan, Gauhar Ali, Ramla Khan

    Published 2022-01-01
    “…Furthermore, we obtained five equilibrium points, including four unstable spirals and one saddle node, using local dynamical analysis which acted as self-exciting attractors and a separatrix in a global domain.…”
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    Article
  10. 50

    Upper Semicontinuity of Attractors for a Non-Newtonian Fluid under Small Random Perturbations by Jianxin Luo

    Published 2014-01-01
    “…This paper investigates the limiting behavior of attractors for a two-dimensional incompressible non-Newtonian fluid under small random perturbations. …”
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    Article
  11. 51

    Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems by Ahmed Y. Abdallah

    Published 2005-01-01
    “…We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert space l2×l2. …”
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    Article
  12. 52

    Hypercrater Bifurcations, Attractor Coexistence, and Unfolding in a 5D Model of Economic Dynamics by Toichiro Asada, Panagiotis Markellos

    Published 2011-01-01
    “…In the third case a remarkable feature is the apparent unfolding of an attracting CIC before it evolves to a chaotic attractor. Examples of CICs and chaotic attractors are given in subspaces of phase space.…”
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    Article
  13. 53

    Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF by J. L. Echenausía-Monroy, J. H. García-López, R. Jaimes-Reátegui, D. López-Mancilla, G. Huerta-Cuellar

    Published 2018-01-01
    “…The proposed system has richer dynamics than the original, not only presenting the generation of a global attractor; it is capable of generating monostable and bistable multiscrolls. …”
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    Article
  14. 54

    Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise by Chunxiao Guo, Yanfeng Guo, Xiaohan Li

    Published 2019-01-01
    “…In this paper, the existence of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise has been proved through Ornstein-Uhlenbeck transformation. …”
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    Article
  15. 55

    Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise by Xiaoyao Jia, Xiaoquan Ding

    Published 2018-01-01
    “…In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained. …”
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    Article
  16. 56

    Bifurcations of a New Fractional-Order System with a One-Scroll Chaotic Attractor by Xiaojun Liu, Ling Hong, Lixin Yang, Dafeng Tang

    Published 2019-01-01
    “…In this paper, a new fractional-order system which has a chaotic attractor of the one-scroll structure is presented. …”
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    Article
  17. 57

    Random Attractors for Stochastic Three-Component Reversible Gray-Scott System on Infinite Lattices by Anhui Gu, Zhaojuan Wang, Shengfan Zhou

    Published 2012-01-01
    “…We prove the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with a multiplicative white noise on infinite lattices.…”
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    Article
  18. 58

    Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator by Nguyen Dinh Binh

    Published 2012-01-01
    “…We prove the regularity and exponential growth of a pullback attractor in the space S02(Ω)∩L2p−2(Ω) for the nonautonomous dynamical system associated to the problem. …”
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    Article
  19. 59

    Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations by Xinguang Yang, Xiaosong Wang, Juntao Li, Lingrui Zhang

    Published 2014-01-01
    “…We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. …”
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    Article
  20. 60

    Pullback 𝒟-Attractor of Nonautonomous Three-Component Reversible Gray-Scott System on Unbounded Domains by Anhui Gu

    Published 2013-01-01
    “…The existence of a pullback global attractor for the equation is established in L2ℝn3 and H1ℝn3, respectively. …”
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    Article