A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems by Brahim Benhammouda

“…Index-3 differential-algebraic equations (DAEs) are mathematical models for the dynamics of constrained multibody mechanical systems that arise in many applications. …”
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Stability and Bifurcation Analysis of a Discrete Singular Bioeconomic System by Qamar Din, A. M. Yousef, A. A. Elsadany

“…Firstly, we establish a discrete singular bioeconomic system, which is based on the discretization of a system of differential algebraic equations. It is shown that the discretized system exhibits much richer dynamical behaviors than its corresponding continuous counterpart. …”
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Topology in nonlinear extensions of hypernumbers by M. S. Burgin

“…Modern theory of dynamical systems is mostly based on nonlinear differential equations and operations. …”
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Discretized representations of harmonic variables by bilateral Jacobi operators by Andreas Ruffing

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Invariant Solutions for Nonhomogeneous Discrete Diffusion Equation by M. N. Qureshi, A. Q. Khan, M. Ayub, Q. Din

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Stability of Runge-Kutta Methods for Neutral Delay Differential Equations by Liping Wen, Xiong Liu, Yuexin Yu

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Time-Compact Scheme for the One-Dimensional Dirac Equation by Jun-Jie Cao, Xiang-Gui Li, Jing-Liang Qiu, Jing-Jing Zhang

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Strategic Deconfliction of 4D Trajectory and Perturbation Analysis for Air Traffic Control and Automation System by Xinmin Tang, Yu Zhang, Ping Chen, Bo Li, Songchen Han

“…To resolve potential conflicts during strategic 4D conflict-free trajectory planning, a protection-zone conflict-control model based on air traffic control separation constraints was proposed, in which relationships between expected arrival time and adjusted arrival time at conflicting waypoints for aircraft queues were built and transformed into dynamic linear equations under the definition of max-plus algebra. …”
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Algebro-Geometric Solutions for a Discrete Integrable Equation by Mengshuang Tao, Huanhe Dong

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Number of Forts in Iterated Logistic Mapping by Kaixuan Yu, Zhiheng Yu

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An Algorithm to Compute the H-Bases for Ideals of Subalgebras by Rabia, Muhammad Ahsan Binyamin, Nazia Jabeen, Adnan Aslam, Kraidi Anoh Yannick

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Bifurcation Analysis and Chaos Control in a Discrete-Time Predator-Prey System of Leslie Type with Simplified Holling Type IV Functional Response by S. M. Sohel Rana, Umme Kulsum

“…The dynamic behavior of a discrete-time predator-prey system of Leslie type with simplified Holling type IV functional response is examined. …”
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Kinetics of quantum reaction-diffusion systems by Federico Gerbino, Igor Lesanovsky, Gabriele Perfetto

“…We discuss many-body fermionic and bosonic systems subject to dissipative particle losses in arbitrary spatial dimensions $d$, within the Keldysh path-integral formulation of the quantum master equation. This open quantum dynamics represents a generalisation of classical reaction-diffusion dynamics to the quantum realm. …”
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Geometric Representations of Interacting Maps by Tsuyoshi Kato

“…Tropical geometry is a kind of dynamical scale transform which connects automata with real rational dynamics. …”
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Bifurcations and Structures of the Parameter Space of a Discrete-Time SIS Epidemic Model by Yun Liu, Xijuan Liu

“…The dynamics of a discrete-time SIS epidemic model are reported in this paper. …”
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Quantum complexity phase transitions in monitored random circuits by Ryotaro Suzuki, Jonas Haferkamp, Jens Eisert, Philippe Faist

“…Recently, the dynamics of quantum systems that involve both unitary evolution and quantum measurements have attracted attention due to the exotic phenomenon of measurement-induced phase transitions. …”
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The Sum and Difference of Two Lognormal Random Variables by C. F. Lo

“…We have presented a new unified approach to model the dynamics of both the sum and difference of two correlated lognormal stochastic variables. …”
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Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies by Junwei Wang, Kairui Chen, Yun Zhang

“…In this paper, we investigate such a problem for nonlinear multiagent systems with Lipschitz dynamics. To reflect communication constraints, the topology is assumed to switch within a finite set of digraphs characterised by an average dwell time switching signal. …”
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Bifurcation Analysis of a Singular Bioeconomic Model with Allee Effect and Two Time Delays by Xue Zhang, Qing-ling Zhang, Zhongyi Xiang

“…The singular prey-predator model is transformed into its normal form by using differential-algebraic system theory. We study its dynamics in terms of local analysis and Hopf bifurcation. …”
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Adaptive Fuzzy Control for Attitude Stabilization of Spacecraft with Deployable Composite Laminated Solar Array by Wei Zhang, Weibing Zhu, Shijie Zhang, Xiangtian Zhao

“…In addition, the spacecraft dynamic model which integrated the adaptive fuzzy PD controller was derived as a set of differential-algebraic equations. …”
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