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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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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Spatiotemporal chaotic one-way Hash function construction based on coupled tent maps by LIU Jian-dong, FU Xiu-li

“…A novel coupled tent maps-based spatiotemporal chaotic cryptographic Hash function was proposed.Compared with the discrete tent map,the coupled discrete tent spatiotemporal chaotic maps have longer computer-realization-period,nearly uniform distribution and desired diffusion and confusion properties.Based on the coupled discrete tent spatiotemporal chaotic maps,a cryptographic Hashing function is constructed to generate 128-bit Hash value from a message with arbitrary length.The approach uses the initial value of coupled discrete tent chaotic dynamical system iteration as the secret key.The key space is very large.There is a high sensitivity and complex and strongly nonlinear coupling relation between the Hash value and the corresponding message and secret key.Theoretic analysis and simulation results are shown that the approach possess not only extremely high security in comparison with earlier chaotic Hash functions,but also the high execution speed.Therefore,the approach can satisfy all the performance requirements of Hash function,such as one-way,key sensitivity and collision resistance.…”
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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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The Coupled Orbit-Attitude Dynamics and Control of Electric Sail in Displaced Solar Orbits by Mingying Huo, He Liao, Yanfang Liu, Naiming Qi

“…In this paper, the equilibrium point of the coupled dynamical system in displaced orbit is obtained, and its stability is analyzed through a linearization. …”
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STABILITY RESEARCH OF FLOW-INDUCED VIBRATION OF HYBRID RIGID-FLEXIBLE PIPE CONVEYING FLUID (MT) by LIU MingJun, ZHANG ZhenJiu, YANG XianQing, Lü JianXing, LI YueAn

“…An articulated pipe composed of a flexible pipe and a rigid pipe is a typical hybrid rigid-flexible dynamical system involving flow-induced vibrations. Based on Hamilton′s principle, the governing equations of motion of the hybrid rigid-flexible pipe system were established. …”
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Research on the Numerical Simulation of the Nonlinear Dynamics of a Supercavitating Vehicle by Tianhong Xiong, Xianyi Li, Yipin Lv, Wenjun Yi

“…In this paper, based on a four-dimensional dynamical system of this vehicle, its complicated dynamical behaviors were analyzed in detail by numerical simulation, according to the phase trajectory diagram, the bifurcation diagram, and the Lyapunov exponential spectrum. …”
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Operating with External Arguments of Douady and Hubbard by G. Pastor, M. Romera, G. Alvarez, J. Nunez, D. Arroyo, F. Montoya

“…The external arguments of the external rays theory of Douady and Hubbard is a valuable tool in order to analyze the Mandelbrot set, a typical case of discrete dynamical system used to study nonlinear phenomena. We suggest here a general method for the calculation of the external arguments of external rays landing at the hyperbolic components root points of the Mandelbrot set. …”
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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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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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Approximate Super- and Sub-harmonic Response of a Multi-DOFs System with Local Cubic Nonlinearities under Resonance by Yang CaiJin

“…A multi-degree-of-freedom dynamical system with local cubic nonlinearities subjected to super/subharmonic excitation is considered in this paper. …”
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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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Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential Equations by Li Bai, Xinhua Wang, Rongwu Lu, Hao Yu, Dan Li

“…To study the regular pattern of behavior propagations in CMSM, a series of evolutionary dynamical system models are established by the delay and impulsive differential equations (DIDEs). …”
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Power Forecasting of Combined Heating and Cooling Systems Based on Chaotic Time Series by Liu Hai, Song Yong, Du Qingfu

“…Chaos is an inherent property of nonlinear dynamic system. A predicator of the output power of the distributed generation system is to establish a nonlinear model of the dynamic system based on real time series in the reconstructed phase space. …”
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Entanglement dynamics in 2d HCFTs on the curved background: the case of q-Möbius Hamiltonian by Chen Bai, Akihiro Miyata, Masahiro Nozaki

“…We discussed the low temperature system can be regarded as the dynamical system induced by the multi-joining quenches. …”
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Bianchi I Cosmology and Scalar Vector Tensor Brans Dicke Gravity by Hossein Ghaffarnejad, Hoda Gholipour

“…To seek stabilization of our obtained metric solution we apply dynamical system approach to obtain critical manifolds in phase space and determine which of them confirms the inflation with stable nature in presence of the anisotropy property of spacetime. …”
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Dynamical Analysis for the Hybrid Network Model of Delayed Predator-Prey Gompertz Systems with Impulsive Diffusion between Two Patches by Li Xiang, Yurong Zhang, Dan Zhang, Zhichun Yang, Lingzhi Huang

“…Using the discrete dynamical system determined by the stroboscopic map which has a globally stable positive fixed point, we obtain the global attractive condition of predator-extinction periodic solution for the network system. …”
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The local Bifurcation of Dynamic Behavior of Predator-Prey System with Refuge for both Species  by Intsar Matlob, Saad Naji

“… The main purpose of this paper is to study a predator – prey dynamical system consisting of three species prey, specialized predator and generalist predator namely H (t), I (t) and J (t) respectively, w food web and refuge for the prey and specialized predator population. …”
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Abundant Coexisting Multiple Attractors’ Behaviors in Three-Dimensional Sine Chaotic System by Huagan Wu, Han Bao, Quan Xu, Mo Chen

“…This paper presents a novel and simple three-dimensional (3-D) chaotic system by introducing two sine nonlinearities into a simple 3-D linear dynamical system. The presented sine system possesses nine equilibrium points consisting of five index-2 saddle foci and four index-1 saddle foci which allow the coexistence of various types of disconnected attractors, also known as multistability. …”
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Predictability of Extreme Waves in the Lorenz-96 Model Near Intermittency and Quasi-Periodicity by A. E. Sterk, D. L. van Kekem

“…We introduce a method for quantifying the predictability of the event that the evolution of a deterministic dynamical system enters a specific subset of state space at a given lead time. …”
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