Response mechanism of heat-sensitive neurons under combined noise stimulation by Yunhai Wang, Guodong Huang, Rui Zhu, Shu Zhou, Yuan Chai

“…Simulation results demonstrate that heat-sensitive neurons show a preferential response to stimuli that induce spike discharge over stimuli that induce r-clonic patterns, as seen in changes to the periodic attractor contours. When exposed to Chua's circuit stimulus, chaotic emission patterns reveal significant shifts in attractor contour, indicating a strong response to spike, r-clonic, and periodic stimuli. …”
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A note on the global attractivity of a discrete model of nicholson's blowflies by B. G. Zhang, H. X. Xu

“…We obtain a new criterion for the positive equilibrium N∗ to be a global attractor, which improve the corresponding results obtained by So and Yu (J. …”
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Bifurcation and Chaos of a Discrete-Time Population Model by Guo Feng, Song Xinghao

“…With the change of parameters, attractor crises and chaotic bands with periodic windows appear. …”
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Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations by Jiali Yu, Wenhuo Su, Dongmei Xu

“…We consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. Under some backwards assumptions of the nonautonomous force, it is shown that the theoretical existence result for such an attractor is derived from an increasing, bounded pullback absorbing and the backwards pullback flattening property. …”
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Boundedness and Global Attractivity of a Higher-Order Nonlinear Difference Equation by Xiu-Mei Jia, Wan-Tong Li

“…We show that the unique positive equilibrium of this equation is a global attractor under certain conditions.…”
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Interacting Dark Matter and q-Deformed Dark Energy Nonminimally Coupled to Gravity by Emre Dil

“…As a second issue, we perform the phase-space analysis of the model to check the reliability of our proposal by searching the stable attractor solutions implying the late-time accelerating expansion phase of the universe.…”
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Cosmological Dynamics of a Hybrid Chameleon Scenario by Kourosh Nozari, Narges Rashidi

“…We show that the hybrid chameleon domination solution is a stable attractor and the universe in this setup experiences a phantom divide crossing.…”
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Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay by Yantao Guo, Shuilin Cheng, Yanbin Tang

“…By a prior estimate and a contractive function, we give a sufficient condition for the existence of pullback attractor of NSV equation.…”
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Chaotic Convection in a Viscoelastic Fluid Saturated Porous Medium with a Heat Source by B. S. Bhadauria

“…Construction of four-scroll, or “two-butterfly,” and chaotic attractor has been examined.…”
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La croissance urbaine au Brésil : concentration dans les métropoles ou rééquilibrage du système urbain ? by Cathy Chatel, François Moriconi-Ebrard, Maria Encarnação Beltrão Sposito

“…This approach allows to verify that there is indeed an “attractor” of demographic size which is currently around 500 000 inhabitants. …”
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Chaotic Dynamics and Chaos Control of Hassell-Type Recruitment Population Model by Guo Feng

“…For certain parameters, the mapping of a Hassell-type recruitment population model has a chaotic attractor. The control parameter is disturbed slightly with time by the improvement OGY method. …”
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Dynamics of a predator-prey system with prey subject to Allee effects and disease by Yun Kang, Sourav Kumar Sasmal, Amiya Ranjan Bhowmick, Joydev Chattopadhyay

“…We provide basic dynamical properties for this general model and perform the detailed analysis on a concrete model (SIP-Allee Model) as well as its corresponding model in the absence of Allee effects (SIP-no-Allee Model); we obtain the complete dynamics of both models: (a) SIP-Allee Model may have only one attractor (extinction of all species), two attractors (bi-stability either induced by small values of reproduction number of both disease and predator or induced by competition exclusion), or three attractors (tri-stability); (b) SIP-no-Allee Model may have either one attractor (only S-class survives or the persistence of S and I-class or the persistence of S and P-class) or two attractors (bi-stability with the persistence of S and I-class or the persistence of S and P-class). …”
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A New Feigenbaum-Like Chaotic 3D System by Huitao Zhao, Yiping Lin, Yunxian Dai

“…The obtained results also show that the period-doubling sequence of bifurcations leads to a Feigenbaum-like strange attractor.…”
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Constraints and sources of nonequilibrium: a case of radical market transformation in Brazil by Andriani Pierpaolo

“…I show how the entry of Illycaffé worked as an attractor (pull-strategy) that caused the decommoditisation of the coffee sector, enabled the emergence of a network of quality producers, and caused the rise of a ‘long tail’ of diversity.…”
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Global Asymptotic Behavior of a Nonautonomous Competitor-Competitor-Mutualist Model by Shengmao Fu, Fei Qu

“…Under certain conditions, it is shown that the limit periodic system of this asymptotically periodic model admits two positive periodic solutions (u1T,u2T,u3T),  (u1T,u2T,u3T) such that uiT≤uiT  (i=1,2,3), and the sector {(u1,u2,u3):uiT≤ui≤uiT,  i=1,2,3} is a global attractor of the asymptotically periodic model. In particular, we derive sufficient conditions that guarantee the existence of a positive periodic solution which is globally asymptotically stable.…”
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Communication management in a millennium of chaos and change by Ursula Stroh

“…Communication management - and specifically constructive conflict management - could lead to 'positive chaos' and a culture (strange attractor) of constant change. Positive chaos implies an unstable, seemingly disordered situation that could bring about productive, creative, and improved results. …”
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Periodically forced discrete-time SIS epidemic model with diseaseinduced mortality by John E. Franke, Abdul-Aziz Yakubu

“…In addition, we use the Beverton-Holt recruitment function toshow that the infective population exhibits period-doubling bifurcationsroute to chaos where the disease-free susceptible population lives on a2-cycle (non-chaotic) attractor.…”
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Stabilization of the Fractional-Order Chua Chaotic Circuit via the Caputo Derivative of a Single Input by Chunde Yang, Hao Cai, Ping Zhou

“…A modified fractional-order Chua chaotic circuit is proposed in this paper, and the chaotic attractor is obtained for q=0.98. Based on the Mittag-Leffler function in two parameters and Gronwall’s Lemma, two control schemes are proposed to stabilize the modified fractional-order Chua chaotic system via the Caputo derivative of a single input. …”
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Phenotype control and elimination of variables in Boolean networks by Tonello, Elisa, Paulevé, Loïc

“…We examine the possible effects of variable elimination under three of the most popular approaches to control (attractor-based control, value propagation and control of minimal trap spaces), and under different update schemes (synchronous, asynchronous, generalized asynchronous). …”
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Research on the Complexity of Game Model about Recovery Pricing in Reverse Supply Chain considering Fairness Concerns by Ting Li, Dongyun Yan, Shuxia Sui

“…Through the method of system simulation and use of some indicators, such as the singular attractor, bifurcation diagram, attraction domain, power spectrum, and maximum Lyapunov exponent, the characteristics of the system at different times will be illustrated.…”
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