Pullback Exponential Attractor for Second Order Nonautonomous Lattice System by Shengfan Zhou, Hong Chen, Zhaojuan Wang

“…Moreover, we obtain the upper bound of fractal dimension and attracting rate for the attractor.…”
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Renormalization Group Equation for Tsallis Statistics by Airton Deppman

“…The nonextensive statistics proposed by Tsallis has found wide applicability, being present even in the description of experimental data from high energy collisions. A system with a fractal structure in its energy-momentum space, named thermofractal, was shown to be described thermodynamically by the nonextensive statistics. …”
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Discrete dynamics in transitional economies by J. Barkley Rosser, Jr., Marina Vcherashnaya Rosser

“…During recovery, transitional cobweb labor market dynamics exhibit chaos, fractal basin boundaries between coexisting non-chaotic attractors, discontinuous phase transitions, strange attractors, and cascades of infinitely many period-doubling bifurcations.…”
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Inventing the savage: the Sapara people of the Ecuadorian Amazon in 19th-century travel writing by Erika Rosado-Valencia, Silke Jansen, Andrés Gerique-Zipfel

“…We frame our analysis in the theoretical proposal of Irvine and Gal for the ideological construction of cultural difference through the semiotic processes known as rhematization, fractal recursivity, and erasure.…”
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Drawing Dynamical and Parameters Planes of Iterative Families and Methods by Francisco I. Chicharro, Alicia Cordero, Juan R. Torregrosa

“…The complex dynamical analysis of the parametric fourth-order Kim’s iterative family is made on quadratic polynomials, showing the MATLAB codes generated to draw the fractal images necessary to complete the study. The parameter spaces associated with the free critical points have been analyzed, showing the stable (and unstable) regions where the selection of the parameter will provide us the excellent schemes (or dreadful ones).…”
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Integrating social narratives of flood events into a text network analysis-based decision support framework to reduce vulnerability to climate change in Africa by Thomas E. O’Shea, Lena C. Grobusch, Mary Zhang, Jeff Neal, Joseph Daron, Richard G. Jones, Christopher Jack, Alice McClure, Gilbert Siame, Dorothy Ndhlovu, Sukaina Bharwani

“…Using a well-established network from the Future Resilience for African Cities And Lands (FRACTAL) group, a cross-disciplinary approach of natural and social sciences to support decision-making for flood resilience is presented as the Participatory Climate Information Distillation for Urban Flood Resilience in Lusaka (FRACTAL-PLUS) project. …”
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Study on the Regulation Effect of Optogenetic Technology on LFP of the Basal Ganglia Nucleus in Rotenone-Treated Rats by Zongya Zhao, Yanxiang Niu, Peiqi Chen, Yu Zhu, Liangliang Shi, Xuewei Zhao, Chang Wang, Yehong Zhang, Zhixian Gao, Wenshuai Jiang, Wu Ren, Renjun Gu, Yi Yu

“…Approximate entropy and fractal dimension algorithm can be used as an effective index to study LFP changes in rotenone-treated rats.…”
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Simulation of the Radiation Reaction Orbits of a Classical Relativistic Charged Particle with Generalized Off-Shell Lorentz Force by Aviad Roitgrund, Lawrence Horwitz

“…The attractor may acquire fractal characteristics in the presence of an external field and thus become a strange attractor.…”
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Complex Dynamics of an Adnascent-Type Game Model by Baogui Xin, Junhai Ma, Qin Gao

“…Its complex dynamics is demonstrated by means of the largest Lyapunov exponents, fractal dimensions, bifurcation diagrams, and phase portraits. …”
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Nonlinear Behaviors of Tail Dependence and Cross-Correlation of Financial Time Series Model by Wei Deng, Jun Wang

“…Further, the multifractality of cross-correlations for return series is studied by multifractal detrended cross-correlation analysis, which indicates the analogous cross-correlations and some fractal characters for both actual data and simulative data and provides an intuitive evidence for market inefficiency.…”
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Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation by Jiuli Yin, Liuwei Zhao, Shanyu Ding

“…Besides some popular exotic solutions including peaked waves, and looped and cusped waves, this equation also admits some very particular waves, such as fractal-like waves, double stumpons, double kinked waves, and butterfly-like waves. …”
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The Question of Metropolitan Form: Introduction by Anne Vernez Moudon, François Claessens, David Prosperi

“…Soja’s six metaphors (post-Fordist industrial, cosmopolis, expolis, fractal city, carceral archipelago, simcities) are being indicative of the wide range of possible images.[2] The eight papers in this issue of Footprint take an opposite approach. …”
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Barrow holographic dark energy: a path to reconstructing f(R, T) gravity by P. S. Ens, A. F. Santos

“…We employ Barrow’s holographic dark energy model, derived from fractal surfaces of black holes, to investigate the reconstruction process. …”
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Bifurcation Analysis and Chaos Control in a Discrete-Time Predator-Prey System of Leslie Type with Simplified Holling Type IV Functional Response by S. M. Sohel Rana, Umme Kulsum

“…Furthermore, we compute numerically maximum Lyapunov exponents and fractal dimension to justify the chaotic behaviors of the system. …”
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Soliton outcomes and dynamical properties of the fractional Phi-4 equation by Md Mostafa, Mohammad Safi Ullah

“…Under the given parameters, 2D and 3D phase portraits, time series, return map, Lyapunov exponent, recurrence plot, strange attractor, bifurcation diagram, and fractal dimension plot are provided. These plots show the periodic, quasi-periodic, and chaotic nature of the suggested nonlinear problem. …”
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CHANNELING: SEARCH OF THE METAANTHROPOLOGIC MEAS-UREMENTS OF MIND BEING IN THE UNIVERSE (based on the World Wide Web) by Anatoly T. Tshedrin

“…In the development of channeling manifest fractal effects associated with the reproduction of their previous ideas about the history of ETI. …”
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Combined multi-scale characterization of pores in ultra-thick coal seams of Jurassic Xishanyao Formation, Tiaohu-Malang sags, Santanghu Basin by Yue CHEN, Qiqi LEI, Dongmin MA, Xin WANG, Xinggang WANG, Diefang HUANG, Gaoxiang RONG

“…For the 9-2 coal sample, the fractal dimensions of micropores and small pores are 2.53 and 2.63, respectively, indicating higher complexity and better permeability connectivity. …”
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CHANNELING: SEARCH OF THE METAANTHROPOLOGIC MEAS-UREMENTS OF MIND BEING IN THE UNIVERSE (based on the World Wide Web) by Anatoly T. Tshedrin

“…In the development of channeling manifest fractal effects associated with the reproduction of their previous ideas about the history of ETI. …”
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Can’t Help Lovin’:David Chidester’s Pop Culture Colonialism by Kathryn Lofton

“…West and Smith offer an opportunity to argue the connection between these two strands of scholarly observance, showing the fractal effects of colonialism in Africa on the preferences of pop culture consumption in America.The attraction to West’s unlikability is the other side of the easy adorationfor Jordan Smith: like those colonists who gave religion to those colonized subjects they dominated, pop consumers refuse to admit their intimate and needful connection to those idols who resist theircontrol. …”
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Node-Gosper Curve-Based Unknown Sensor Localization Using Single Mobile Anchor in Wireless Sensor Networks by Chi-Chang Chen, Sheng-Bo Wang

“…The node-Gosper curve is a fractal space-filling curve constructed by recursively replacing each node by a seven-segment generator curve. …”
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