| # | Title | Journal | Year | Citations |
|---|
| 1 | The sine-Gordon Model and its Applications | Advances in Dynamics, Patterns, Cognition | 2014 | 93 |
| 2 | Network Centrality: An Introduction | Advances in Dynamics, Patterns, Cognition | 2019 | 85 |
| 3 | Mathematical Methods in Engineering | Advances in Dynamics, Patterns, Cognition | 2019 | 67 |
| 4 | Introduction to Fractional Differential Equations | Advances in Dynamics, Patterns, Cognition | 2019 | 46 |
| 5 | Regularity and Complexity in Dynamical Systems | Advances in Dynamics, Patterns, Cognition | 2012 | 39 |
| 6 | Comparison of Exact and Numerical Solutions for the Sharma–Tasso–Olver Equation | Advances in Dynamics, Patterns, Cognition | 2020 | 31 |
| 7 | Neural Networks with Discontinuous/Impact Activations | Advances in Dynamics, Patterns, Cognition | 2014 | 27 |
| 8 | A Dynamical Perspective on the ɸ4 Model | Advances in Dynamics, Patterns, Cognition | 2019 | 24 |
| 9 | Fractional Maps as Maps with Power-Law Memory | Advances in Dynamics, Patterns, Cognition | 2014 | 22 |
| 10 | Nonlinearity + Networks: A 2020 Vision | Advances in Dynamics, Patterns, Cognition | 2020 | 21 |
| 11 | Nonlinear Continuous Dynamical Systems | Advances in Dynamics, Patterns, Cognition | 2012 | 20 |
| 12 | Dynamical System Synchronization | Advances in Dynamics, Patterns, Cognition | 2013 | 18 |
| 13 | Infectious Disease Modeling | Advances in Dynamics, Patterns, Cognition | 2017 | 18 |
| 14 | Exact Travelling Wave Solutions for Local Fractional Partial Differential Equations in Mathematical Physics | Advances in Dynamics, Patterns, Cognition | 2019 | 18 |
| 15 | Energy-Efficient Buildings as Complex Socio-technical Systems: Approaches and Challenges | Advances in Dynamics, Patterns, Cognition | 2017 | 16 |
| 16 | Physics-Informed Learning Machines for Partial Differential Equations: Gaussian Processes Versus Neural Networks | Advances in Dynamics, Patterns, Cognition | 2020 | 15 |
| 17 | A Transient Flow of a Non-Newtonian Fluid Modelled by a Mixed Time-Space Derivative: An Improved Integral-Balance Approach | Advances in Dynamics, Patterns, Cognition | 2019 | 13 |
| 18 | Almost Periodicity, Chaos, and Asymptotic Equivalence | Advances in Dynamics, Patterns, Cognition | 2020 | 12 |
| 19 | The sine-Gordon Equation in Josephson-Junction Arrays | Advances in Dynamics, Patterns, Cognition | 2014 | 12 |
| 20 | Random Noninstantaneous Impulsive Models for Studying Periodic Evolution Processes in Pharmacotherapy | Advances in Dynamics, Patterns, Cognition | 2016 | 11 |
| 21 | Dynamics with Chaos and Fractals | Advances in Dynamics, Patterns, Cognition | 2020 | 11 |
| 22 | Application of the Local Fractional Fourier Series to Fractal Signals | Advances in Dynamics, Patterns, Cognition | 2014 | 11 |
| 23 | A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems | Advances in Dynamics, Patterns, Cognition | 2019 | 11 |
| 24 | Modeling Fireflies Synchronization | Advances in Dynamics, Patterns, Cognition | 2019 | 10 |
| 25 | Fluctuations of Observables in Dynamical Systems: From Limit Theorems to Concentration Inequalities | Advances in Dynamics, Patterns, Cognition | 2015 | 10 |
| 26 | KDV Soliton Gas: Interactions and Turbulence | Advances in Dynamics, Patterns, Cognition | 2017 | 10 |
| 27 | Emerging Frontiers in Nonlinear Science | Advances in Dynamics, Patterns, Cognition | 2020 | 9 |
| 28 | Nonlinearity and Discreteness: Solitons in Lattices | Advances in Dynamics, Patterns, Cognition | 2020 | 9 |
| 29 | Some Analytical Techniques in Fractional Calculus: Realities and Challenges | Advances in Dynamics, Patterns, Cognition | 2014 | 9 |
| 30 | Weak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics | Advances in Dynamics, Patterns, Cognition | 2013 | 8 |
| 31 | Advances in Dynamics, Patterns, Cognition | Advances in Dynamics, Patterns, Cognition | 2017 | 8 |
| 32 | Characterizing Flows by Complex Network Methods | Advances in Dynamics, Patterns, Cognition | 2019 | 8 |
| 33 | Spatio-Temporal Dynamics in a Ring of Coupled Pendula: Analogy with Bubbles | Advances in Dynamics, Patterns, Cognition | 2014 | 8 |
| 34 | Localized Excitations in Nonlinear Complex Systems | Advances in Dynamics, Patterns, Cognition | 2014 | 7 |
| 35 | Almost Periodic Solutions of Evolution Differential Equations with Impulsive Action | Advances in Dynamics, Patterns, Cognition | 2016 | 7 |
| 36 | Discontinuity and Complexity in Nonlinear Physical Systems | Advances in Dynamics, Patterns, Cognition | 2014 | 7 |
| 37 | Privatization and Government Preferences in a Mixed Duopoly: Stackelberg Versus Cournot | Advances in Dynamics, Patterns, Cognition | 2014 | 7 |
| 38 | Breather Solutions of the Discrete p-Schrödinger Equation | Advances in Dynamics, Patterns, Cognition | 2014 | 7 |
| 39 | Travelling Waves in Nonlinear Magnetic Metamaterials | Advances in Dynamics, Patterns, Cognition | 2014 | 6 |
| 40 | Nonlinear Analysis of Phase-locked Loop-Based Circuits | Advances in Dynamics, Patterns, Cognition | 2014 | 6 |
| 41 | Finite-Element Analysis of Nonlinear Fluid–Membrane Interactions Using a Modified Characteristic-Based Split (CBS) Scheme | Advances in Dynamics, Patterns, Cognition | 2016 | 6 |
| 42 | Drilling Systems: Stability and Hidden Oscillations | Advances in Dynamics, Patterns, Cognition | 2014 | 6 |
| 43 | Theory of a Quodon Gas with Application to Precipitation Kinetics in Solids Under Irradiation | Advances in Dynamics, Patterns, Cognition | 2014 | 6 |
| 44 | N-Soliton Interactions for the Manakov System: Effects of External Potentials | Advances in Dynamics, Patterns, Cognition | 2014 | 6 |
| 45 | sine-Gordon Equation: From Discrete to Continuum | Advances in Dynamics, Patterns, Cognition | 2014 | 6 |
| 46 | Voltage Interval Mappings for an Elliptic Bursting Model | Advances in Dynamics, Patterns, Cognition | 2015 | 6 |
| 47 | The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons | Advances in Dynamics, Patterns, Cognition | 2014 | 6 |
| 48 | Memorized Discrete Systems and Time-delay | Advances in Dynamics, Patterns, Cognition | 2017 | 5 |
| 49 | A Modified Laguerre Matrix Approach for Burgers–Fisher Type Nonlinear Equations | Advances in Dynamics, Patterns, Cognition | 2020 | 5 |
| 50 | Map-Based Approach to Problems of Spiking Neural Network Dynamics | Advances in Dynamics, Patterns, Cognition | 2014 | 5 |
