Cartoon Image Encryption Algorithm by a Fractional-Order Memristive Hyperchaos by Shu-ying Wang, Jian-feng Zhao, Xiao-yan Wang, Li-tao Zhang

“…Security and performance analysis indicates that the proposed chaos-based image encryption algorithm is highly resistant to statistical attacks.…”
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Complex dynamics in a simple model of interdependent open economies by Shahriar Yousef, Yuri Maistrenko, Svitlana Popovych

“…Among others, a general specification of the regions of stability of the equilibrium and main periodic cycles, the transition to chaos through torus destruction, chaotic synchronization, and the coexistence of different types of attractors in parameter space are described. …”
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Theory of Robust Quantum Many-Body Scars in Long-Range Interacting Systems by Alessio Lerose, Tommaso Parolini, Rosario Fazio, Dmitry A. Abanin, Silvia Pappalardi

“…Our theory unveils the stability mechanism of such QMBS for an arbitrary system size and predicts instances of its breakdown, e.g., near dynamical critical points or in the presence of semiclassical chaos, which we verify numerically in long-range quantum Ising chains. …”
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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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Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios by Viktor Avrutin, Michael Schanz, Björn Schenke

“…In this system, the region of ``robust" chaos is embedded between two periodic domains. One of them is organized by the period-adding scenario whereas the other one by the period-increment scenario with coexisting attractors. …”
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Chaotic Dynamics of Piezoelectric Composite Laminated Beams by Liangqiang Zhou, Wen Wang

“…Chaos in piezoelectric composite laminated beams has significant implications in the design of this model. …”
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Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties by Yun-An Hu, Hai-Yan Li, Chun-Ping Zhang, Liang Liu

“…And the convergence of the parameter errors is guaranteed in a finite time. The proposed method can be applied to a variety of chaos systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.…”
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Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances by Xiuchun Li, Jianhua Gu, Wei Xu

“…The analysis and proof are given by means of the Lyapunov stability theorem and Barbalat lemma. This approach has fewer constraints because many parameters related to chaotic system can be unknown, as shown in the paper. …”
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“This is not science. This is storytelling:” The Poetics of Science in Arcadia by Liliane Campos

“…After using catastrophe theory and quantum mechanics in his earlier texts Professional Foul and Hapgood, Stoppard borrows some of Arcadia’s key concepts from thermodynamics and chaos theory. This article explores the strong epistemological continuity of Stoppard’s references to science, which provide him with metaphors for the systematic instability of knowledge asserted by his plays. …”
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Impact of long-term cyanotoxin exposure on cattle: Biochemical, histological, and oxidative stress assessment by Mounira Bensalem, Amina Amrani, Hadjer Zaidi, Fateh Sedrati, Omar Laouar, Zhi Wang, Hichem Nasri

“…Blood and liver samples were analyzed to assess biochemical markers (ALT, AST, ALP, GGT, etc.), histopathological changes, and oxidative stress parameters (GPx, CAT, SOD, LPO and GSH). …”
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Complex Dynamics in Nonlinear Triopoly Market with Different Expectations by Junhai Ma, Xiaosong Pu

“…Numerical simulations are presented to show that the triopoly game model behaves chaotically with the variation of the parameters. …”
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Lyapunov Exponent-Based Study of Chaotic Mechanical Behavior of Concrete under Compression by Yuhu Quan, Xu Yang

“…Chaos theory is advantageous in achieving a deeper understanding of the nonlinearity and randomness of concrete behavior. …”
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Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses by Hongli Li, Long Zhang, Zhidong Teng, Yaolin Jiang

“…If the periods between individual growth and impulse perturbations match well, then the dynamics of species periodically change. If they mismatch each other, the dynamics differ from period to period until there is chaos.…”
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La Sante Nan Manje Granmoun: Nitrisyon E Dyabèt by Jennifer Hillan

“…Epi tou, l’ap ede moun ki gen pi fò risk pou yo gen dyabèt redwi chans pou pran maladisa-a. This document, FCS8612-Hai, is one in a series of the Department of Family, Youth and Community Sciences, Florida Cooperative Extension Service, Institute of Food and Agricultural Sciences, University of Florida, Gainesville, FL 32611. …”
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Sirombu in West Nias during the 2004 and 2005 earthquakes and tsunamis: A preliminary study by Anatona, Hakam Abdul, Muhajir Ahmad, Roja Azizah Hanifa, Yus Arimawati Nehe Lusia

“…Employing a historical methodology and drawing upon diverse data sources, the study reveals the rapid transformation of life in Sirombu from normalcy to chaos and fear as the disasters unfolded. The earthquakes and tsunamis resulted in significant loss of life and injuries, widespread destruction of homes, markets, the seaport, and other infrastructure, and the displacement of the local population.…”
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Vibration of the Duffing Oscillator: Effect of Fractional Damping by Marek Borowiec, Grzegorz Litak, Arkadiusz Syta

“…We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of the Duffing system with nonlinear fractional damping and external excitation. …”
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Adaptive Neural Networks Synchronization of a Four-Dimensional Energy Resource Stochastic System by Duo Meng

“…An adaptive neural networks chaos synchronization control method is proposed for a four-dimensional energy resource demand-supply system with input constraints. …”
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Multistability in a Fractional-Order Centrifugal Flywheel Governor System and Its Adaptive Control by Bo Yan, Shaobo He, Shaojie Wang

“…It shows that the minimum order for chaos of the fractional-order centrifugal flywheel governor system is q = 0.97, and the system has rich dynamics and produces multiple coexisting attractors. …”
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