Latest Research in Nonlinear Differential Dynamics

Top Research Topics in Nonlinear Differential Dynamics

• Probability — 136 papers
• Analysis of PDEs — 96 papers
• Numerical Analysis — 43 papers
• Optimization and Control — 33 papers
• Fractional Differential Equations Solutions — 27 papers
• Nonlinear Differential Equations Analysis — 22 papers
• Nonlinear Partial Differential Equations — 17 papers
• Stochastic processes and financial applications — 14 papers
• Dynamical Systems — 13 papers
• Functional Analysis — 9 papers

Highest-Cited Papers

1. Grounded Operators and Finite Certificates: Quantitative accessibility, signed extinction, and evolutionary stability
2. Lyapunov Functions Certify Stability via Scalar Monotonic Decrease — E8 Intelligence Research
3. Positive stability-preserving semigroups and particle capacities
4. Zulfia Invexity: Structural Origin and Emergence of Invexity
5. Lyapunov Functions Certify Stability via Scalar Monotonic Decrease — E8 Intelligence Research
6. Asymptotic Transitions Between Airy, Pearcey, and Sine Kernels in Random Matrix Theory — E8 Intelligence Research
7. Grounded Operators and Finite Certificates: Quantitative accessibility, signed extinction, and evolutionary stability
8. Well-posedness and stochastic averaging for neutral Hadamard–Itô–Doob fractional differential equations under non-Lipschitz conditions
9. Using Self-Affine Fractal Functions and Dimensions to Characterize the Dynamic Phase Transition of Sardine Schools
10. Weak solutions for a generalized Katugampola fractional Langevin inclusion with boundary condition
11. Random attractors for nonlinear p-Laplacian diffusion on weighted graphs under stochastic forcing
12. Continuous-Time Heterogeneous Agent Models with Recursive Utility and Preference for Late Resolution
13. Critical Well‐Posedness and Decay for an Active Scalar Equation With Mixed Dissipation and Hardy–Littlewood–Sobolev Drift
14. Discrete dynamical systems with random impulses
15. Modeling of Fractal Curves by an Interpolatory Quinary Refinement Scheme
16. Calderón-Zygmund gradient estimates for p-Laplace systems with BMO complex coefficients
17. Null controllability for degenerate parabolic equations with internal control applied on a measurable subset
18. Elliptic Systems with Unbalanced Growth and Logarithmic Perturbation: Existence, Uniqueness and Boundedness
19. Positive Solutions for Sublinear Equations with Compact Positivity-Improving Resolvent
20. Pathwise Optimal Control and Rough Fractional Hamilton-Jacobi-Bellman Equations for Rough-Fractional Dynamics

Sub-Regions

• Optimization and Control — 194 papers
• Nonlinear Differential Equations Analysis — 108 papers
• Probability — 82 papers
• Fractional Differential Equations Solutions — 57 papers
• Numerical Analysis — 52 papers
• Functional Analysis — 31 papers