Nonlinear Dynamical Analysis for the Cable Excited with Parametric and Forced Excitation by C. Z. Qian, C. P. Chen, G. W. Zhou

“…Despite the parameters analysis, the bifurcation characters of the dynamical system are studied. At last, by means of numerical method and software MATHMATIC, the effect rules of system parameters to the dynamical behavior of the system are studied, and some useful conclusions are obtained.…”
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Nonlinear Dynamics and Multistability in a Cobweb Model by S. S. Askar

“…The model’s producers are taken to be boundedly rational, and then the model is studied as a 1D and 2D discrete time dynamical system. Due to the lack of information in the market regarding the function of demand, the producers depend on the estimation of the marginal profit variations so as to update their prices next period. …”
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Travelling Wave Solutions of Wu–Zhang System via Dynamic Analysis by Hang Zheng, Yonghui Xia, Yuzhen Bai, Guo Lei

“…In this paper, based on the dynamical system method, we obtain the exact parametric expressions of the travelling wave solutions of the Wu–Zhang system. …”
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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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A Fractional Epidemiological Model for Bone Remodeling Process by Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abuasbeh

“…The next goal is to investigate how similar is the proposed approach to the method based on system classical differential equations. The dynamical system of equations used is built upon three main parameters. …”
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Mutation and Chaos in Nonlinear Models of Heredity by Nasir Ganikhodjaev, Mansoor Saburov, Ashraf Mohamed Nawi

“…We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. …”
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Soliton outcomes and dynamical properties of the fractional Phi-4 equation by Md Mostafa, Mohammad Safi Ullah

“…The dynamic characteristic of the governing model is investigated for its planar dynamical system by applying the bifurcation method. Under the given parameters, 2D and 3D phase portraits, time series, return map, Lyapunov exponent, recurrence plot, strange attractor, bifurcation diagram, and fractal dimension plot are provided. …”
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Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response by C. Gokila, M. Sambath, K. Balachandran, Yong-Ki Ma

“…We discuss the boundedness of the dynamical system and find all feasible equilibrium solutions. …”
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Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications by Amjad Ali, Monairah Alansari, Fahim Uddin, Muhammad Arshad, Awais Asif, Ghada Ali Basendwah

“…At the end, we will give an application to prove the existence behavior for the system of functional equation in dynamical system and integral inclusion.…”
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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…The model is converted into a dynamical system, enabling qualitative and sensitivity analysis. …”
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The Existence and Structure of Rotational Systems in the Circle by Jayakumar Ramanathan

“…By a rotational system, we mean a closed subset X of the circle, T=R/Z, together with a continuous transformation f:X→X with the requirements that the dynamical system (X,f) be minimal and that f respect the standard orientation of T. …”
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Stability Analysis of SIRS Model considering Pulse Vaccination and Elimination Disturbance by Yanli Ma, Xuewu Zuo

“…Firstly, according to the stroboscopic mapping method of the discrete dynamical system, the disease-free T periodic solution of the model under the condition of pulse vaccination and pulse elimination is obtained. …”
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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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King-Type Derivative-Free Iterative Families: Real and Memory Dynamics by F. I. Chicharro, A. Cordero, J. R. Torregrosa, M. P. Vassileva

“…Moreover, in order to study the real behavior of the parametric class with memory, we associate it with a discrete multidimensional dynamical system. By analyzing the fixed and critical points of its vectorial rational function, we can select those methods with best stability properties.…”
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The Role of Constraints in a Segregation Model: The Asymmetric Case by Davide Radi, Laura Gardini, Viktor Avrutin

“…The model is described by a two-dimensional piecewise smooth dynamical system in discrete time, where the entry constraints represent possible exogenous controls imposed by an authority in order to regulate the maximum number of members of the two populations allowed to enter the system, usually the district in which they live in. …”
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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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Identification of Industrial Furnace Temperature for Sintering Process in Nuclear Fuel Fabrication Using NARX Neural Networks by Dede Sutarya, Benyamin Kusumoputro

“…The main contribution of this paper is to identify the appropriate model and structure to be applied in control temperature in the sintering process in nuclear fuel fabrication, that is, a nonlinear dynamical system. Satisfactory agreement between identified and experimental data is found with normalized sum square error 1.9e-03 for heating step and 6.3859e-08 for soaking step. …”
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Analysis of the Dynamics of a $\phi^{6}$ Duffing Type Jerk System by Ulises Uriostegui-legorreta, Eduardo Salvador Tututi-hernández, Alejandro Bucio

“…The Jerk is transformed into a dynamical system of dimension three. The dynamics and stability of the resulting system are analyzed, through phase space, bifurcation diagrams and Lyapunov exponents by varying the relevant parameters, finding the existence of a strange attractor. …”
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Hybrid quantum-classical control problems by Emanuel-Cristian Boghiu, Jesús Clemente-Gallardo, Jorge A. Jover-Galtier, David Martínez-Crespo

“…The notion of hybrid quantum-classical control system was introduced as a control dynamical system which combined classical and quantum degrees of freedom. …”
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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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