Modification of Homotopy Perturbation method for addressing systems of PDEs by Osama Alkhazaleh

“…These examples highlight MHPM’s utility in accurately resolving dynamic systems with real-world implications, including fluid flows, reaction kinetics, and engineering models, where computational efficiency and solution precision are critical.…”
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Performance analysis and improvement of link adaptation techniques in TDD-HSDPA/SA system by CHEN Shu-ping, DU Jiu-hui, WANG Wen-bo

“…The wireless channel fluctuation resulted from smart antennas in TDD-HSDPA/SA（time division duplex-high speed downlink packet access /smart antennas）system,which caused traditional link adaptation technologies invalid,was theoretically investigated.Two kinds of novel link adaptation schemes were proposed to deal with this issue.A dynamic system level simulator was established to evaluate the performances of the two schemes.Simulation results indicate that both of them have great improvement in system residual BLER and have certain system throughput gain.The first one suits for the hybrid networking case of TDD and FDD（frequency division duplex）mode,while the second one can serve the case of alone TDD networking.…”
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Research on the Evolutionary Game Model and Stable Strategy of Urban Management Law Enforcement by Fangkun Xin, Zijing Wang

“…Based on the evolutionary game theory, we achieved the evolutionary stable equilibrium points under complying with different constraint conditions by solving the replicator dynamic equations of parties in the dynamic system. Through the gradual stability analysis of the equilibrium point, the stable strategy of the evolutionary game can be calculated. …”
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Fractional Order Models of Industrial Pneumatic Controllers by Abolhassan Razminia, Dumitru Baleanu

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Some Further Results on Traveling Wave Solutions for the ZK-BBM() Equations by Shaoyong Li, Zhengrong Liu

“…We investigate the traveling wave solutions for the ZK-BBM() equations by using bifurcation method of dynamical systems. Firstly, for ZK-BBM(2, 2) equation, we obtain peakon wave, periodic peakon wave, and smooth periodic wave solutions and point out that the peakon wave is the limit form of the periodic peakon wave. …”
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Hamiltonian Dynamics and Adiabatic Invariants for Time-Dependent Superconducting Qubit-Oscillators and Resonators in Quantum Computing Systems by Jeong Ryeol Choi

“…An adiabatic invariant, which is a conserved quantity, is useful for studying quantum and classical properties of dynamical systems. Adiabatic invariants for time-dependent superconducting qubit-oscillator systems and resonators are investigated using the Liouville-von Neumann equation. …”
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Forecast of Chemical Export Trade Based on PSO-BP Neural Network Model by Na Li, Meng Li

“…The neural network is a nonlinear dynamic system, with strong nonlinear mapping ability, strong robustness, and fault tolerance. …”
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Buckling suppression of a cantilever structure with a modified fuzzy sliding mode control by Jianhua Pan, Lin Sun, Xiaopei Liu, Yuyuan Zhang, Yili Duo

“…Therefore, a new active control strategy for large-amplitude buckling suppression of a two-dimensional nonlinear dynamic system of a cantilever beam is established and implemented, effectively suppressing the large-amplitude buckling response in numerical studies.…”
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Adaptive Output Tracking of Driven Oscillators by Lili Diao, Martin Guay

“…For a class of nonlinear dynamic systems with unknown nonlinearities and nonaffine control input, a Lyapunov-based technique is used to develop a control law. …”
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Modeling and analysis of a simple manufacturing-oriented multi-agent system by P. Levi, M. Schanz, V. Avrutin

“…In order to develop appropriate tools for this task, the dynamic behaviour of the system is investigated using concepts and methods of synergetics and the theory of nonlinear dynamical systems.…”
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A Dynamic Motion Tracking Control Approach for a Quadrotor Aerial Mechanical System by Hugo Yañez-Badillo, Francisco Beltran-Carbajal, Ruben Tapia-Olvera, Antonio Valderrabano-Gonzalez, Antonio Favela-Contreras, Julio C. Rosas-Caro

“…Thus, differentiation of signals and real-time estimation of disturbances affecting the multi-input multioutput, underactuated nonlinear dynamic system are unnecessary. The presented active control approach can be directly extended for a class of vibrating mechanical systems. …”
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Digital model of a pseudo-random number generator based on a continuous chaotic system by Y. A. Drybin, S. V. Sadau, V. S. Sadau

“…It is shown that the choice of the time sampling parameter of the digital model of a continuous dynamic system with chaotic modes based on its dynamics makes it possible to control the characteristics of the output sequence, including avoiding short cycles and periodic behavior modes. …”
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On the structural stability of a simple cosmological model in R + αR2 theory of gravity by Orest Hrycyna

“…The theory of gravity with a quadratic contribution of scalar curvature is investigated using a dynamical systems approach. The simplest Friedmann–Robertson–Walker metric is employed to formulate the dynamics in both the Jordan frame and the conformally transformed Einstein frame. …”
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Resilient Multi-Agent Systems Against Denial of Service Attacks via Adaptive and Activatable Network Layers by Deepalakshmi Babu Venkateswaran, Zhihua Qu

“…This paper tackles the challenge of maintaining resilience in multi-agent systems under Denial of Service (DoS) attacks by proposing a robust architecture that includes an instantaneous detection algorithm for connectivity losses and a dynamic system to activate backup network layers when disruptions occur. …”
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An Improved Unscented Kalman Filter for Discrete Nonlinear Systems with Random Parameters by Yue Wang, Zhijian Qiu, Xiaomei Qu

“…This paper investigates the nonlinear unscented Kalman filtering (UKF) problem for discrete nonlinear dynamic systems with random parameters. We develop an improved unscented transformation by incorporating the random parameters into the state vector to enlarge the number of sigma points. …”
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Dynamic Models of Pollution Penalties and Rewards with Time Delays by Akio Matsumoto, Ferenc Szidarovszky

“…This environmental regulation is added to n-firm dynamic oligopolies, and the asymptotical behavior of the corresponding dynamic systems is examined. Two particular models are considered with linear and hyperbolic price functions. …”
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A Class of Pursuit Problems in 3D Space via Noncooperative Stochastic Differential Games by Yu Bai, Di Zhou, Zhen He

“…By introducing a novel polynomial value function capable of addressing high-dimensional dynamic systems, the forward–backward stochastic differential equations (FBSDEs) for optimal strategies are derived. …”
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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 developed approach provides solutions for both transverse displacement and angular rotation of the beam, which allows parametric analysis of the investigated dynamic system to be conducted in an efficient manner. …”
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Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations by Zhao Li, Peng Li, Tianyong Han

“…Then, the traveling wave solutions of the fractional generalized Hirota–Satsuma coupled KdV equations corresponding to phase orbits are easily obtained by applying the method of planar dynamical systems; these solutions include not only the bell solitary wave solutions, kink solitary wave solutions, anti-kink solitary wave solutions, and periodic wave solutions but also Jacobian elliptic function solutions. …”
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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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