Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays by Li Wan, Qinghua Zhou, Zhigang Zhou, Pei Wang

“…By employing the theory of stochastic functional differential equations and linear matrix inequality (LMI) approach, some novel criteria on asymptotic stability, ultimate boundedness, and weak attractor are derived. Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results.…”
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Numerical Solutions of a Variable-Order Fractional Financial System by Shichang Ma, Yufeng Xu, Wei Yue

“…Moreover, the stable equilibrium point, quasiperiodic trajectory, and chaotic attractor are found in the variable-order fractional financial system with proper order functions.…”
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Light of Planck-2015 on Noncanonical Inflation by Kh. Saaidi, A. Mohammadi, T. Golanbari

“…Employing the last observational data, the free parameters of the model are constrained, and the predicted form of the potential and attractor behavior of the model are studied in detail.…”
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The place of peripheral rural areas in the construction, by and for tourism, of the identity of the region of Dalat (Vietnam) by Truong Thi Lan Huong, Pierre Dérioz

“…The objective of this article is to understand the place that peripheral spaces and landscapes hold in matters of tourism development, both in the tourist offer and in the construction of the local identity of a region where main center attractor is the city of Dalat, a recognized tourist destination in the Highlands of Vietnam. …”
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Control of Hopf Bifurcation and Chaos in a Delayed Lotka-Volterra Predator-Prey System with Time-Delayed Feedbacks by Huitao Zhao, Yaowei Sun, Zhen Wang

“…We find that these control laws can be applied to control Hopf bifurcation and chaotic attractor. Finally, some numerical simulations are given to illustrate the effectiveness of the results found.…”
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A New Memristor-Based 5D Chaotic System and Circuit Implementation by Rui Wang, Mingjin Li, Zhaoling Gao, Hui Sun

“…The Multisim simulation and the physical experiments are conducted, compared, and matched with each other which can demonstrate the existence of the attractor for the new system.…”
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Chaos and bifurcation analysis of tumor-immune controlled system with time delay by Danni Wang, Hongli Yang, Liangui Yang

“…The Gram–Schmidt orthonormalization (GSO) method is used to interpret the attractor properties of uncontrolled and controlled systems, it is revealed that the attractors of controlled systems are smaller than those of uncontrolled systems, and the theoretical and numerical results are consistent. …”
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Hamilton–Jacobi method in non-minimal coupling inflation: metric vs. Palatini by Feng-Yi Zhang, Wenbin Lin

“…Using a power-law Hubble parameter in the Jordan frame, we find that both formalisms satisfy the attractor condition, with a slight suppression in the Palatini case. …”
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Physiologically structured populations with diffusion and dynamicboundary conditions by József Z. Farkas, Peter Hinow

“…We also show thatsolutions of the model exhibit balanced exponential growth, that is, our modeladmits a finite-dimensional global attractor. In case of strictly positivefertility we are able to establish that solutions in fact exhibit asynchronousexponential growth.…”
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Active stabilization of a chaotic urban system by Günter Haag, Tilo Hagel, Timm Sigg

“…The algorithm is applied to an urban system within a metropolitan area obeying a Lorenz-type dynamics as well as to the Hénon attractor as an example for a discrete scenario.…”
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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. …”
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Stabilization of the FO-BLDCM Chaotic System in the Sense of Lyapunov by Ping Zhou, Rongji Bai, Hao Cai

“…There exists a chaotic attractor for fractional-order 0.95<q≤1 in the FO-BLDCM system. …”
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Self-Confirming Biased Beliefs in Organizational “Learning by Doing” by Sanghyun Park, Phanish Puranam

“…We provide a formal definition for self-confirming biased beliefs as an attractor that can lock learning by doing systems into suboptimal actions and provide illustrations based on simulations. …”
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Delayed population models with Allee effects and exploitation by Eduardo Liz, Alfonso Ruiz-Herrera

“…Moreover, we show that the persistent attractor can exhibit bubbling: a stable equilibrium loses its stability as harvesting effort increases, giving rise to sustained oscillations, but higher mortality rates stabilize the equilibrium again.…”
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Spatial “Artistic” Networks: From Deconstructing Integer-Functions to Visual Arts by Ernesto Estrada, Puri Pereira-Ramos

“…We claim that the aesthetic of network research, and not only its applicability, would be an attractor for new minds to this field.…”
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Complex Dynamical Behaviors in a Predator-Prey System with Generalized Group Defense and Impulsive Control Strategy by Shunyi Li

“…Numerical examples show that the system considered has more complicated dynamics, including (1) high-order quasiperiodic and periodic oscillation, (2) period-doubling and halving bifurcation, (3) nonunique dynamics (meaning that several attractors coexist), and (4) chaos and attractor crisis. …”
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The Complex Dynamics of Bertrand-Stackelberg Pricing Models in a Risk-Averse Supply Chain by Junhai Ma, Qiuxiang Li

“…We study the effect of the price adjustment speed, the risk preference, and the uncertain demand on the stability of the risk-averse supply chain using bifurcation, power spectrum, attractor, and so forth. It is observed that there exists slip bifurcation when the price adjustment speed across some critical value, the stable region, and total profit of the risk-averse supply chain will increase with increase of RM1 and decrease with increase of σ. …”
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Analysis of the Dynamics of a $\phi^{6}$ Duffing Type Jerk System by Ulises Uriostegui-legorreta, Eduardo Salvador Tututi-hernández, Alejandro Bucio

“…The dynamics and stability of the resulting system are analyzed, through phase space, bifurcation diagrams and Lyapunov exponents by varying the relevant parameters, finding the existence of a strange attractor. The dynamics of system with potential smoothed was studied by varying the smoothing parameter $\alpha$, finding that this parameter can be used to controlling chaos, since the exponential factor keeps the same fixed points and it regulates smoothly the amplitude of the potential.…”
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Analysis of an HIV infection model incorporating latency age and infection age by Jinliang Wang, Xiu Dong

“…By rigorous analysis for the model, this paper is devoted to the global dynamics of an HIV infection model subject to latency age and infection age from theoretical point of view, where the model formulation, basic reproduction number computation, and rigorous mathematical analysis, such as relative compactness and persistence of the solution semiflow, and existence of a global attractor are involved. By constructing Lyapunov functions, the global dynamics of a threshold type is established. …”
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An Age-Structured Model of HIV Latent Infection with Two Transmission Routes: Analysis and Optimal Control by Chunyang Qin, Xia Wang, Libin Rong

“…We established the global asymptotic dynamical behavior by proving the existence of the global compact attractor and uniform persistence of the system and by applying the method of Lyapunov functionals. …”
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