Hausdorff Dimension of a Random Attractor for Stochastic Boussinesq Equations with Double Multiplicative White Noises by Yin Li, Ruiying Wei, Donghong Cai

“…This paper investigates the existence of random attractor for stochastic Boussinesq equations driven by multiplicative white noises in both the velocity and temperature equations and estimates the Hausdorff dimension of the random attractor.…”
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Upper Semicontinuous Property of Uniform Attractors for the 2D Nonautonomous Navier-Stokes Equations with Damping by Xin-Guang Yang, Jun-Tao Li

“…Our aim is to investigate the long-time behavior in terms of upper semicontinuous property of uniform attractors for the 2D nonautonomous Navier-Stokes equations with linear damping and nonautonomous perturbation external force, that is, the convergence of corresponding attractors when the perturbation tends to zero.…”
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Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows by Inga Timofejeva, Kristina Poskuviene, Maosen Cao, Minvydas Ragulskis

“…A simple and effective algorithm for the identification of optimal time delays based on the geometrical properties of the embedded attractor is presented in this paper. A time series synchronization measure based on optimal time delays is derived. …”
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Random Attractors for Stochastic Three-Component Reversible Gray-Scott System with Multiplicative White Noise by Anhui Gu

“…The paper is devoted to proving the existence of a compact random attractor for the random dynamical system generated by stochastic three-component reversible Gray-Scott system with multiplicative white noise.…”
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Dynamic Behavior Analysis and Robust Synchronization of a Novel Fractional-Order Chaotic System with Multiwing Attractors by Chenhui Wang

“…The most important contribution of this FOCS consists in the coexistence of multiple multiwing chaotic attractors, including 2-wing, 3-wing, and 4-wing attractors. …”
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Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate by Bo You, Shan Ma

“…Finally, we obtain the existence of - and -global attractors for the three-dimensional viscous primitive equations of large-scale atmosphere in log-pressure coordinate by using the Sobolev compactness embedding theory.…”
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Birth of Catastrophe and Strange Attractors through Generalized Hopf Bifurcations in Covid-19 Transmission Mathematical Model by Yuvita Andriani Kusumadewi, Azimatus Nur Safitri, Aulia Nurmalitasari, Triyanto Triyanto, Laila Fitriana, Yudi Ari Adi, Ario Wiraya

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Image Encryption Algorithm Based on a Novel Improper Fractional-Order Attractor and a Wavelet Function Map by Jian-feng Zhao, Shu-ying Wang, Li-tao Zhang, Xiao-yan Wang

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A Novel Hypothesis for Migraine Disease Mechanism: The Creation of a New Attractor Responsible for Migraine Disease Symptoms by Elham Baradari, Farnaz Garehdaghi, Yashar Sarbaz

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On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term by Jin Zhang, Chengkui Zhong

“…We consider the existence and properties of the global attractor for a class of reaction-diffusion equation ∂u/∂t-Δu-u+κ(x)|u|p-2u+f(u)=0,  in  Rn×R+;  u(x,0)=u0(x),  in  Rn. …”
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A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation by Faqiang Wang, Yufang Xiao

“…The under mechanism for the generation of multiscroll chaotic attractors and the reason for the arrangement of saddle shapes and being symmetric about y-axis are presented, and the rule for controlling the number of scroll chaotic attractors with saddle shapes is designed. …”
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A Novel Method for Constructing Grid Multi-Wing Butterfly Chaotic Attractors via Nonlinear Coupling Control by Yun Huang

“…A new method is presented to construct grid multi-wing butterfly chaotic attractors. Based on the three-dimensional Lorenz system, two first-order differential equations are added along with one linear coupling controller, respectively. …”
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Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic by Taher S. Hassan, E. M. Elabbasy, A.E. Matouk, Rabie A. Ramadan, Alanazi T. Abdulrahman, Ismoil Odinaev

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A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario by Zeraoulia Elhadj

“…It is proved numerically that this model can display two different chaotic attractors, one is new and the other is a Lozi-type attractor. …”
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H1-Random Attractors and Asymptotic Smoothing Effect of Solutions for Stochastic Boussinesq Equations with Fluctuating Dynamical Boundary Conditions by Yijin Zhang

“…Using a method based on the theory of omega-limit compactness of a random dynamical system, we prove that the L2-random attractor for the generated random dynamical system is exactly the H1-random attractor. …”
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Uniqueness of limit cycles and multiple attractors in a Gause-typepredator-prey model with nonmonotonic functional response and Allee effecton prey by Eduardo González-Olivares, Betsabé González-Yañez, Jaime Mena-Lorca, José D. Flores

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Assist-as-needed control based on region attractor for power-assist of knee joint taking into account differences in human and orthotic motion by Ken MASUYA, Yuta IDE, Masafumi OKADA

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In Search of Chaos in Genetic Systems by Felix Sadyrbaev, Olga Kozlovska

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Dynamic Analysis, Circuit Design, and Synchronization of a Novel 6D Memristive Four-Wing Hyperchaotic System with Multiple Coexisting Attractors by Fei Yu, Li Liu, Hui Shen, Zinan Zhang, Yuanyuan Huang, Changqiong Shi, Shuo Cai, Xianming Wu, Sichun Du, Qiuzhen Wan

“…When a suitable set of parameters are chosen, the system exhibits a rich repertoire of dynamic behaviors including double-period bifurcation of the quasiperiod, a single two-wing, and four-wing chaotic attractors. Further analysis of the novel system shows that the multiple coexisting attractors can be observed with different system parameter values and initial values. …”
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The possibility of occurrence of chaotic modes of operation of electrical system with distributed generation by G. A. Koshuk, B. A. Kosarev, V. K. Fedorov, A. A. Okhotnikov

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