Cluster Anti-Synchronization of Complex Networks with Nonidentical Dynamical Nodes by Shuguo Wang, Chunyuan He, Hongxing Yao

“…This paper investigates a new cluster antisynchronization scheme in the time-varying delays coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently between the nodes in one community that have direct connections to the nodes in other communities and the nodes without direct connections with the nodes in other communities strategy; some sufficient criteria are derived to ensure cluster anti-synchronization of the network model. …”
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Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes by Wei Shao

“…Moreover, the presented results here can also be applied to complex dynamical networks with single time delay case. …”
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Chaos in a Predator-Prey System with Impulsive Perturbations and Stage Structure for the Predator by Bin Zhang, Shuai Shi, Woye Liu

“…Furthermore, by using the method of numerical simulation, the influence of the impulsive control strategy on the inherent oscillation is investigated, which shows rich complex dynamic (such as periodic doubling bifurcation, periodic halving bifurcation, nonunique attractors, chaos, and periodic windows).…”
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Complexity Analysis of a Modified Predator-Prey System with Beddington–DeAngelis Functional Response and Allee-Like Effect on Predator by Shuangte Wang, Hengguo Yu

“…In this paper, complex dynamical behaviors of a predator-prey system with the Beddington–DeAngelis functional response and the Allee-like effect on predator were studied by qualitative analysis and numerical simulations. …”
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Solving Hyperchaotic Systems Using the Spectral Relaxation Method by S. S. Motsa, P. G. Dlamini, M. Khumalo

“…A new multistage numerical method based on blending a Gauss-Siedel relaxation method and Chebyshev pseudospectral method, for solving complex dynamical systems exhibiting hyperchaotic behavior, is presented. …”
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Bifurcation Analysis of a Singular Bioeconomic Model with Allee Effect and Two Time Delays by Xue Zhang, Qing-ling Zhang, Zhongyi Xiang

“…Finally, numerical simulations are included supporting the theoretical analysis and displaying the complex dynamical behavior of the model outside the domain of stability.…”
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Self-Organized Criticality of Rainfall in Central China by Zhiliang Wang, Chunyan Huang

“…Rainfall is a complexity dynamics process. In this paper, our objective is to find the evidence of self-organized criticality (SOC) for rain datasets in China by employing the theory and method of SOC. …”
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Differences and Similarities: Variability and Fractality in CDST by Zhizi Chen

“… Variability and fractality, two key concepts in Complex Dynamic Systems Theory (CDST)—the former concerning changes and variations, and the latter concerning recursiveness and self-similarities—may seem contradictory at first glance. …”
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Chaos and Control in Coronary Artery System by Yanxiang Shi

“…Numerical simulations including phase portraits, potential diagram, homoclinic bifurcation curve diagrams, bifurcation diagrams, and Poincaré maps not only prove the correctness of theoretical analysis but also show the interesting bifurcation diagrams and the more new complex dynamical behaviors. Numerical simulations are used to investigate the nonlinear dynamical characteristics and complexity of the two systems, revealing bifurcation forms and the road leading to chaotic motion. …”
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Generalized Outer Synchronization between Complex Networks with Unknown Parameters by Di Ning, Xiaoqun Wu, Jun-an Lu, Hui Feng

“…This paper investigates GOS between two different complex dynamical networks with unknown parameters according to two different methods. …”
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Consilience of Reductionism and Complexity Theory in Language Research: Adaptive Weight Model by Chao Zhang

“…This paper starts by discussing the adaptability of complex dynamic systems and combines cognitive processing model and artificial neural networks to construct and verify an adaptive weight model, showing that the study of reductionism is induction of high-weight elements and the study of complexity theory is a discussion of system complexity from adaptability, meaning that there is a good fit between the two frameworks. …”
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Assessment of dynamics of asynchronous drive by nonlinear transfer function. Correction of nonlinearity of asynchronous electric drive by A. A. Baldenkov, V. L. Kodkin, A. S. Anikin

“…Interpretation of nonlinearity made it possible to find a new better solution to the problem of controlling a complex dynamic object.…”
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Hopf Bifurcation Analysis for a Stochastic Discrete-Time Hyperchaotic System by Jie Ran, Yu-Qin Li, Shao-Juan Ma, Juan Wu

“…Numerical simulations are presented to exhibit the complex dynamical behaviors in the discrete-time hyperchaotic system. …”
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Correlation and Spectral Properties of a Coupled Nonlinear Dynamical System in the Context of Numerical Weather Prediction and Climate Modeling by Sergei Soldatenko, Denis Chichkine

“…Complex dynamical processes occurring in the earth’s climate system are strongly nonlinear and exhibit wave-like oscillations within broad time-space spectrum. …”
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Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy by Wenjie Qin, Guangyao Tang, Sanyi Tang

“…The numerical results show that predator-prey model with limited resource has complex dynamical behavior. In addition, it is confirmed that the model has the coexistence of pests and natural enemies for a wide range of parameters.…”
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Bifurcation Analysis and Chaos Control in a Discrete-Time Parasite-Host Model by Xueli Chen, Lishun Ren

“…The numerical simulations not only illustrate the consistence with the theoretical analysis, but also exhibit other complex dynamical behaviors, such as bifurcation diagrams, Maximum Lyapunov exponents, and phase portraits. …”
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Achieving Synchronization in Arrays of Coupled Differential Systems with Time-Varying Couplings by Xinlei Yi, Wenlian Lu, Tianping Chen

“…We study complete synchronization of the complex dynamical networks described by linearly coupled ordinary differential equation systems (LCODEs). …”
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Dynamic Response of a Beam Resting on a Nonlinear Foundation to a Moving Load: Coiflet-Based Solution by Piotr Koziol, Zdzislaw Hryniewicz

“…The aim of this article is to present an effective method of approximation for the analysis of complex dynamic nonlinear models related to the moving load problems.…”
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Secure Satellite Downlink With Hybrid RIS and AI-Based Optimization by Mian Muhammad Kamal, Syed Zain Ul Abideen, Syed Sikandar Shah, Nabila Sehito, Salahuddin Khan, Bal S. Virdee, Mohammad Alibakhshikenari, Patrizia Livreri

“…To address the highly complex, dynamic, and multidimensional nature of the beamforming design problem, deep reinforcement learning (DRL) techniques are employed. …”
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Lump-type kink wave phenomena of the space-time fractional phi-four equation by Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

“…The conformable fractional derivative played the role of improving the modeling of the complex dynamical systems. The obtained solutions, which were illustrated by giving 2D, 3D MATLAB plots and contour illustrations, were s eful in nuclear, particle physics and fluid mechanics. …”
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