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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Aeroengine High-Attitude/Low Mach Number Oscillations: Mechanism and Prevention Design by Jiqiang Wang

“…Consequently, a dynamical system approach is proposed in this paper to demonstrate that engine oscillations are recurring over high-attitude and low-speed flight envelope, yet they can be suppressed through appropriate control designs. …”
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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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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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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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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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Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model by Kazuki Sone, Motohiko Ezawa, Zongping Gong, Taro Sawada, Nobuyuki Yoshioka, Takahiro Sagawa

“…Specifically, we unveil the underlying dynamical system describing the spatial distribution of zero modes and show the emergence of chaos. …”
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Economic-Oriented Stochastic Optimization in Advanced Process Control of Chemical Processes by László Dobos, András Király, János Abonyi

“…The concept is illustrated throughout by a well-known benchmark problem related to the control of a linear dynamical system and the model predictive control of a more complex nonlinear polymerization process.…”
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Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control by Yuan Tian, Zhantao Zhang, Kaibiao Sun

“…The analysis on the existence of order-1 or order-2 periodic orbit is carried out by the construction of Poincaré map of semicontinuous dynamical system. The stability and attractiveness of the periodic state are obtained by geometry approach, which ensures a certain robustness of control. …”
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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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Stability of the Evolutionary Game System and Control Strategies of Behavior Instability in Coal Mine Safety Management by Xinhua Wang, Rongwu Lu, Hao Yu, Dan Li

“…A combined mechanism of incentive rewards and flexible penalty is put forward to improve the stability of the dynamical system and control the instability of behaviors effectively. …”
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Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays by Ahmed A. Mahmoud, Sarat C. Dass, Mohana S. Muthuvalu, Vijanth S. Asirvadam

“…Our methodology estimates correctly the delay parameters as well as other unknown parameters (such as the initial starting values) of the dynamical system based on simulation data. We also develop methodology to compute the information matrix and confidence intervals for all unknown parameters based on the likelihood inferential framework. …”
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Optimal Combination of EEFs for the Model Reduction of Nonlinear Partial Differential Equations by Jun Shuai, Xuli Han

“…The present new EEFs can keep the dynamical information of neglectful modes and generate a lower-dimensional and more precise dynamical system for the PDEs. The numerical example shows its effectiveness and feasibility for model reduction of the nonlinear PDEs.…”
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Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response by Prakash Daliparthi Bhanu, Vamsi Dasu Krishna Kiran

“…This article consists of a detailed and novel stochastic optimal control analysis of a coupled non-linear dynamical system. The state equations are modelled as an additional food-provided prey–predator system with Holling type III functional response for predator and intra-specific competition among predators. …”
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Exploration of Complex Dynamics for Cournot Oligopoly Game with Differentiated Products by S. S. Askar, Mona F. EL-Wakeel, M. A. Alrodaini

“…The game is modeled by a 3-dimensional discrete dynamical system. The equilibria of the system are numerically studied to detect their complex characteristics due to difficulty to get an explicit form for those equilibria. …”
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Quantitative Analysis of the Relationship between Three Psychological Parameters Based on Swallowtail Catastrophe Model by Asti Meiza, Sutawanir Darwis, Agus Yodi Gunawan, Efi Fitriana

“…A sudden jump in the value of the state variable in a certain dynamical system can be studied through a catastrophe model. …”
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Economic Growth and Foreign Direct Investment in Africa: The Mediating Role of State Fragility and Natural Resources. by Barugahara, Florence, Munyambonera, Ezra

“…Using data from 43 African countries from 2000-2018, the study employed the Dynamic System GMM approach to examine the moderating effect of state fragility and natural resources on the FDI–economic growth nexus. …”
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Lyapunov Stability in the Cournot Duopoly Game by Dan Zhu, Debing Ni

“…We first explore the relationship between Lyapunov stability at a point, nonsensitivity and non-Devaney chaos and find that a dynamical system is nonsensitive and non-Devaney chaotic if there is a point in this system such that it is Lyapunov stable at that point. …”
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Self-organization and the Process of Dynamic Learner Language Development by Shan An

“… Adopting Complex Dynamic Systems Theory (CDST) in Second Language Acquisition (SLA) is a testament to the revolutionary and evolutionary advancement in theory and empirical practice in the field. …”
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