Analysis on Multistable Motion Characteristics of Supercavitating Vehicle by Tianhong Xiong, Yipin Lv, Wenjun Yi

“…With the aim of addressing this problem, based on the dynamic map, in the present work the multistable phenomena of attractor coexistence of the supercavitating vehicle system under various initial conditions were analyzed and the initial condition effects on the multistable motion characteristics were investigated through the domains of attraction, time, and frequency. …”
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Spontaneous thought separates into clusters of negative, positive, and flexible thinking by Marta Migó, Jessica A. Cooper, Philip A. Kragel, Michael T. Treadway

“…Here, we analyze free word-association data using attractor-state dynamic modeling, which conceptualizes stuck spontaneous thought as navigating a multidimensional semantic space while in the presence of strong attractor locations. …”
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The Role Of Time Delays, Slow Processes And Chaos In Modulating The Cell-Cycle Clock by E.V. Presnov, Z. Agur

“…Following the loss of stability of the double cycle, through a period-doubling bifurcation, another limit set—a strange attractor—is born. The complicated geometry of this strange attractor can be viewed as an unlimited reservoir of periods in the phase space.We hypothesize that the existence of such a reservoir is advantageous in morphogenetic tissues, such as the bone marrow, as it enables time- and site-specific selection of the optimal cell-cycle period for any specific micro- environment. …”
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Noise-Assisted Concurrent Multipath Traffic Distribution in Ad Hoc Networks by Narun Asvarujanon, Kenji Leibnitz, Naoki Wakamiya, Masayuki Murata

“…In this paper, we utilize a new concept, called attractor perturbation (AP), which enables controlling the network performance using only end-to-end information. …”
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Effect of Population Structures on Quantum-Inspired Evolutionary Algorithm by Nija Mani, Gursaran Srivastava, A. K. Sinha, Ashish Mani

“…The population in QEA is evolved by variation operators, which move the Q-bit towards an attractor. A modification for improving the performance of QEA was proposed by changing the selection of attractors, namely, versatile QEA. …”
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Unfolding the Phase Space Structure of Noisy Time Series by means of Angular First-Return Maps by Javier Villa Briongos, Jesús Gómez-Hernández, Daniel Serrano, Domingo Santana

“…The resulting representation provides a clear cut of the dynamical reconstructed attractor giving both quantitative information and qualitative information about the attractor structure. …”
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Type-K Exponential Ordering with Application to Delayed Hopfield-Type Neural Networks by Bin-Guo Wang

“…As an application, the model of delayed Hopfield-type neural networks with a type-K monotone interconnection matrix is considered, and the attractor result is obtained.…”
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Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation by Abdul Qadeer Khan, Hamdy El-Metwally

“…In this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. …”
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An Improved Multiobjective Quantum-Behaved Particle Swarm Optimization Based on Double Search Strategy and Circular Transposon Mechanism by Fei Han, Yu-Wen-Tian Sun, Qing-Hua Ling

“…Moreover, to alleviate the problem of the swarm converging to local minima during the local search, an improved attractor construction mechanism based on opposition-based learning is introduced to further search a better position locally as a new attractor for each particle. …”
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Noise Reduction Analysis of Radar Rainfall Using Chaotic Dynamics and Filtering Techniques by Soojun Kim, Huiseong Noh, Narae Kang, Keonhaeng Lee, Yonsoo Kim, Sanghun Lim, Dong Ryul Lee, Hung Soo Kim

“…The analysis for the evaluation of LF and KF techniques is performed by the correlation coefficient, standard error, the attractor, and the BDS statistic from chaos theory. …”
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Hyperbolic Relaxation of a Fourth Order Evolution Equation by Renato Colucci, Gerardo R. Chacón

“…We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in .…”
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Topological Entropy of One Type of Nonoriented Lorenz-Type Maps by Guo Feng

“…In this paper, a geometric model of nonoriented Lorenz-type attractor is studied using this method, and its dynamical property is described. …”
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A Stochastic Weakly Damped, Forced KdV-BO Equation by Guolian Wang

“…By energy type estimates and dispersive properties, we then prove that this system possesses a weak random attractor in the space H1(ℝ).…”
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A Novel Control Method for Integer Orders Chaos Systems via Fractional-Order Derivative by Ping Zhou, Fei Kuang

“…A fractional-order control method is obtained to stabilize the point in chaos attractor of integer orders chaos systems. The control law has simple structure and is designed easily. …”
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Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation by Nikos Karachalios, Nikos Stavrakakis, Pavlos Xanthopoulos

“…Also shown is the existence of a global attractor for the corresponding dynamical system.…”
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Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays by Zhiwen Long, Yanxiang Tan

“…Based on the fluctuation lemma and some differential inequality techniques, we prove that the positive equilibrium is a global attractor of the addressed system with small time delay. …”
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Some Properties of Solutions for the Sixth-Order Cahn-Hilliard-Type Equation by Zhao Wang, Changchun Liu

“…We also discuss the existence of global attractor.…”
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Dynamics of Mixed Dark Energy Domination in Teleparallel Gravity and Phase-Space Analysis by Emre Dil, Erdinç Kolay

“…We perform the phase-space analysis of the model by numerical methods and find the late-time accelerated attractor solutions implying the acceleration phase of universe.…”
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Dynamics of a New Hyperchaotic System with Only One Equilibrium Point by Xiang Li, Ranchao Wu

“…The compound structure and forming mechanism of the new hyperchaotic attractor are studied via a controlled system with constant controllers. …”
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Complex Dynamics in Nonlinear Triopoly Market with Different Expectations by Junhai Ma, Xiaosong Pu

“…We obtain the fractal dimension of the strange attractor, bifurcation diagrams, and Lyapunov exponents of the system.…”
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