Irregular Attractors by Vadim S. Anishchenko, Galina I. Strelkova

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Attractors for maps with fractional inverse by M. R. Ferchichi, I. Djellit

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Alternative Attractors of Shallow Lakes by Marten Scheffer

“…These strongly contrasting ecosystem states have been found to represent alternative attractors with distinct stabilizing feedback mechanisms. …”
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Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study by Zeric Tabekoueng Njitacke, Theophile Fonzin Fozin, Christian Tchito Tchapga, Gervais Dolvis Leutcho, K. Marcel Wouapi, Jacques Kengne

“…Although the control of multistability has already been reported, the one with preselection of the desired attractor is still uncovered in systems with more than two coexisting attractors. …”
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Attractor States in Second Language Development by Ashley Beccia

“…Accordingly, serving as a stepping stone for those looking to foray into the CDST paradigm, this forum piece offers a definition of attractor state, identifies and describes different types of attractor states, clarifies some possible misconceptions about attractor states, and provides a few examples of attractor states in SLD. …”
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Place Cells, Grid Cells, Attractors, and Remapping by Kathryn J. Jeffery

“…Place and grid cells are thought to use a mixture of external sensory information and internal attractor dynamics to organize their activity. Attractor dynamics may explain both why neurons react coherently following sufficiently large changes to the environment (discrete attractors) and how firing patterns move smoothly from one representation to the next as an animal moves through space (continuous attractors). …”
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Uniform Attractors for Nonclassical Diffusion Equations with Memory by Yongqin Xie, Yanan Li, Ye Zeng

“…After that, the existence and the structure of a compact uniform attractor for the nonautonomous nonclassical diffusion equation with fading memory are proved under the following conditions: the nonlinearity f satisfies the polynomial growth of arbitrary order and the time-dependent forcing term g is only translation-bounded in Lloc2(R;L2(Ω)).…”
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Regularity of Global Attractor for the Reaction-Diffusion Equation by Hong Luo

“…By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space Hk for all k>0, which attracts any bounded subset of Hk(Ω) in the Hk-norm.…”
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Hidden Attractors in Chaotic Systems with Nonlinear Functions by Safara Bibi, Juan Hugo García López, Rider Jaimes-reategui, Hafiz Muhammad Zeeshan, Guillermo Huerta-cuellar

Subjects: “…hidden attractors…”
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Global Attractor for a Chemotaxis Model with Reaction Term by Xueyong Chen, Jianwei Shen

“…First, the existence of a global-in-time solution is given, and then a global attractor for this model is obtained.…”
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Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation by Min Zhao, Shengfan Zhou

“…Finally, we obtain the existence of an exponential attractor of the system.…”
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Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity by Zai-yun Zhang, Zhen-hai Liu

“…We discuss global attractor for the generalized dissipative KDV equation with nonlinearity under the initial condition u(x,0)=u0(x). …”
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Could the classical relativistic electron be a strange attractor? by L. P. Horwitz, N. Katz, O. Oron

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Hamilton Energy Control for the Chaotic System with Hidden Attractors by Meibo Wang, Shaojuan Ma

“…In this paper, the dynamic behavior and control of chaotic systems with hidden attractors are studied. Firstly, a class of autonomous chaotic systems without the equilibrium point is proposed. …”
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Random Attractors for Stochastic Retarded Lattice Dynamical Systems by Xiaoquan Ding, Jifa Jiang

“…We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within the set of tempered random bounded sets.…”
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Global Attractor of Solutions of a Rational System in the Plane by Miron B. Bekker, Martin J. Bohner, Hristo D. Voulov

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Exponential Attractors for Parabolic Equations with Dynamic Boundary Conditions by Zhao-hui Fan

“…We study exponential attractors for semilinear parabolic equations with dynamic boundary conditions in bounded domains. …”
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Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings by Azza Alghamdi, Maciej Klimek, Marta Kosek

“…The generating families can also be viewed as infinite iterated function systems with compact attractors. We show that such attractors can be approximated both deterministically and probabilistically in a manner of the classic chaos game.…”
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Attractors of semigroups associated with nonlinear systems for diffusive phase separation by Nobuyuki Kenmochi

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Synchronization of a Supply Chain Model with Four Chaotic Attractors by Jing Zheng, Qiongxin Zhang, Qi Xu, Fei Xu, Victor Shi

“…Our findings are summarized as follows: First, we find that the supply chain model is a system with four chaotic attractors. Second, we explore the synchronization of such a chaotic system. …”
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