22 August 2025
Mathematics | Top 10 Highly Viewed Papers in 2023–2024 in the “Dynamical Systems” Section

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We would like to invite you to explore the top 10 highly viewed papers in 2023–2024 in the “Dynamical Systems” Section. These papers have been carefully selected for their exceptional quality and relevance and represent cutting-edge research in dynamical systems.
1. “Dynamic Behavior Analysis and Synchronization of Memristor-Coupled Heterogeneous Discrete Neural Networks”
by Minglin Ma, Kangling Xiong, Zhijun Li and Yichuang Sun
Mathematics 2023, 11(2), 375; https://doi.org/10.3390/math11020375
Full text available online: https://www.mdpi.com/2227-7390/11/2/375
2. “Neimark–Sacker Bifurcation of a Discrete-Time Predator–Prey Model with Prey Refuge Effect”
by Binhao Hong and Chunrui Zhang
Mathematics 2023, 11(6), 1399; https://doi.org/10.3390/math11061399
Full text available online: https://www.mdpi.com/2227-7390/11/6/1399
3. “A Mathematical Solution to the Computational Fluid Dynamics (CFD) Dilemma”
by Stefan Heinz
Mathematics 2023, 11(14), 3199; https://doi.org/10.3390/math11143199
Full text available online: https://www.mdpi.com/2227-7390/11/14/3199
4. “Modeling Wave Packet Dynamics and Exploring Applications: A Comprehensive Guide to the Nonlinear Schrödinger Equation”
by Natanael Karjanto
Mathematics 2024, 12(5), 744; https://doi.org/10.3390/math12050744
Full text available online: https://www.mdpi.com/2227-7390/12/5/744
5. “Identification of Linear Time-Invariant Systems: A Least Squares of Orthogonal Distances Approach”
by Luis Alberto Cantera-Cantera, Rubén Garrido, Luis Luna, Cristóbal Vargas-Jarillo and Erick Asiain
Mathematics 2023, 11(5), 1238; https://doi.org/10.3390/math11051238
Full text available online: https://www.mdpi.com/2227-7390/11/5/1238
6. “Hopf Bifurcation in a Predator–Prey Model with Memory Effect in Predator and Anti-Predator Behaviour in Prey”
by Wenqi Zhang, Dan Jin and Ruizhi Yang
Mathematics 2023, 11(3), 556; https://doi.org/10.3390/math11030556
Full text available online: https://www.mdpi.com/2227-7390/11/3/556
7. “Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets”
by Ashish Rayal, Bhagawati Prasad Joshi, Mukesh Pandey and Delfim F. M. Torres
Mathematics 2023, 11(11), 2503; https://doi.org/10.3390/math11112503
Full text available online: https://www.mdpi.com/2227-7390/11/11/2503
8. “General Solutions for MHD Motions of Ordinary and Fractional Maxwell Fluids through Porous Medium When Differential Expressions of Shear Stress Are Prescribed on Boundary”
by Dumitru Vieru and Constantin Fetecau
Mathematics 2024, 12(2), 357; https://doi.org/10.3390/math12020357
Full text available online: https://www.mdpi.com/2227-7390/12/2/357
9. “Semi-Analytical Closed-Form Solutions for the Rikitake-Type System through the Optimal Homotopy Perturbation Method”
by Remus-Daniel Ene and Nicolina Pop
Mathematics 2023, 11(14), 3078; https://doi.org/10.3390/math11143078
Full text available online: https://www.mdpi.com/2227-7390/11/14/3078
10. “Markov Chains and Kinetic Theory: A Possible Application to Socio-Economic Problems”
by Bruno Carbonaro and Marco Menale
Mathematics 2024, 12(10), 1571; https://doi.org/10.3390/math12101571
Full text available online: https://www.mdpi.com/2227-7390/12/10/1571