Active stabilization of a chaotic urban system by Günter Haag, Tilo Hagel, Timm Sigg

“…A new method to stabilize dynamical systems by forcing the system variables into the desired unstable stationary point is proposed. …”
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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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Approximate Prediction-Based Control Method for Nonlinear Oscillatory Systems with Applications to Chaotic Systems by Thiago P. Chagas, Pierre-Alexandre Bliman, Karl H. Kienitz

“…The approximate Prediction-Based Control method (aPBC) is the continuous-time version of the well-known Prediction-Based Chaos Control method applied to stabilize periodic orbits of nonlinear dynamical systems. The method is based on estimating future states of the free system response of continuous-time systems using the solution from the Runge-Kutta implicit method in real time. …”
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A One-Point Third-Derivative Hybrid Multistep Technique for Solving Second-Order Oscillatory and Periodic Problems by Mufutau Ajani Rufai, Ali Shokri, Ezekiel Olaoluwa Omole

“…This research is significant because it has numerous applications to real-life phenomena such as chaotic dynamical systems, almost periodic problems, and duffing equations. …”
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A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications by Baltazar Aguirre-Hernández, Raúl Villafuerte-Segura, Alberto Luviano-Juárez, Carlos Arturo Loredo-Villalobos, Edgar Cristian Díaz-González

“…This paper presents a brief review on the current applications and perspectives on the stability of complex dynamical systems, with an emphasis on three main classes of systems such as delay-free systems, time-delay systems, and systems with uncertainties in its parameters, which lead to some criteria with necessary and/or sufficient conditions to determine stability and/or stabilization in the domains of frequency and time. …”
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Discovering and Characterizing Hidden Variables Using a Novel Neural Network Architecture: LO-Net by Soumi Ray, Tim Oates

“…Experiments show the utility of the proposed approach using discrete time dynamical systems, in which some of the state variables are hidden, and sensor data obtained from the camera of a mobile robot, in which the sizes and locations of objects in the visual field are observed but their sizes and locations (distances) in the three-dimensional world are not. …”
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Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy by Christopher Fietkiewicz, Kenneth A. Loparo

“…Specifically, we analyze three aspects of the models: (1) Using dynamical systems analysis, we demonstrate and explain the presence of direct current potentials in the simulated EEG that were previously undocumented. (2) We explain how the system was not ideally formulated for numerical integration of stochastic differential equations. …”
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Dynamics Analysis and Intermittent Energy Feedback Control of m-HR Neuron Model under Electromagnetic Induction by Jiankui Peng, Suoping Li

“…Meanwhile, it should be emphasized that the intermittent control scheme has a wider range of regulation and robustness, which can be applied to other dynamical systems to obtain the desired oscillation modes. …”
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Qualitative Analysis of a Quadratic Integrate-and-Fire Neuron Model with State-Dependent Feedback Control by Guangyao Tang, Jin Yang, Sanyi Tang

“…Spiking neuron models which exhibit rich dynamics are usually defined by hybrid dynamical systems. It is revealed that mathematical analysis of these models has important significance. …”
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Normal Form for High-Dimensional Nonlinear System and Its Application to a Viscoelastic Moving Belt by S. P. Chen, Y. H. Qian

“…The improved method is described in detail by analyzing the four-dimensional nonlinear dynamical systems whose Jacobian matrices evaluated at an equilibrium point contain three different cases, that are, (i) two pairs of pure imaginary eigenvalues, (ii) one nonsemisimple double zero and a pair of pure imaginary eigenvalues, and (iii) two nonsemisimple double zero eigenvalues. …”
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Hidden Attractors in Chaotic Systems with Nonlinear Functions by Safara Bibi, Juan Hugo García López, Rider Jaimes-reategui, Hafiz Muhammad Zeeshan, Guillermo Huerta-cuellar

“…In the present work, an interesting mini-review of hidden attractors in dynamical systems with associated nonlinear functions is carried out. …”
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Neural Network and Hybrid Methods in Aircraft Modeling, Identification, and Control Problems by Gaurav Dhiman, Andrew Yu. Tiumentsev, Yury V. Tiumentsev

“…That is, it is required to solve also the identification problem for dynamical systems. We propose an approach to solving the above-mentioned problems based on artificial neural networks (ANNs) and hybrid technologies. …”
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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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Holling-Tanner Predator-Prey Model with State-Dependent Feedback Control by Jin Yang, Guangyao Tang, Sanyi Tang

“…In this paper, we propose a novel Holling-Tanner model with impulsive control and then provide a detailed qualitative analysis by using theories of impulsive dynamical systems. The Poincaré map is first constructed based on the phase portraits of the model. …”
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Marker and source-marker reprogramming of Most Permissive Boolean networks and ensembles with BoNesis by Paulevé, Loïc

“…Boolean networks (BNs) are discrete dynamical systems with applications to the modeling of cellular behaviors. …”
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Performance Enhancement of MRAC via Generalized Dynamic Inversion by Alharith Mahmoud, Abdulrahman H. Bajodah

“…Model Reference Adaptive Control (MRAC) guarantees closed loop stability and desired steady state performance of dynamical systems without undue dependence upon their mathematical models. …”
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Quantized Dissipative Observer-Based Output Feedback Control for a Class of Markovian Descriptor Jump Systems with Communication Delay by Muhammad Shamrooz Aslam, Xisheng Dai

“…The descriptor systems are presented as Markovian jump systems which give a more realistic presentation for a variety of nonlinear dynamical systems than conventional state-space representation. …”
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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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Diagenetic Self-Organization and Stochastic Resonance in a Model of Limestone-Marl Sequences by Ivan L’Heureux

“…The model exhibits interesting features typical of nonlinear dynamical systems: (i) the existence of self-organized oscillating patterns between a calcite-rich mode (“limestone”) and a calcite-poor one (“marl”) for fixed environmental conditions and (ii) bistability between these two modes. …”
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A Fully Operational Framework for Handling Cellular Automata Templates by Mauricio Verardo, Pedro P. B. de Oliveira

“…Cellular automata are fully discrete, computational, or dynamical systems, characterised by a local, totally decentralised action. …”
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