Latest Research in Chaotic Dynamics

Top Research Topics in Chaotic Dynamics

• Machine Learning — 4 papers
• Numerical Analysis — 4 papers
• Chaotic Dynamics — 3 papers
• Complex Systems and Time Series Analysis — 3 papers
• Fractal and DNA sequence analysis — 2 papers
• Mental Health Research Topics — 1 papers
• Model Reduction and Neural Networks — 1 papers
• Machine Learning — 1 papers
• Combinatorics — 1 papers
• Dynamical Systems — 1 papers

Highest-Cited Papers

1. Generalizing Adam to Manifolds for Efficiently Training Transformers
2. Reducing Training Complexity in Empirical Quadrature-Based Model Reduction via Structured Compression
3. Asymptotic stability of the high-dimensional Kuramoto model on Stiefel manifolds (1 citations)
4. Gaussian Radial Basis Function Neural Networks on Time Scales
5. Monotone Neural Policy Iteration for High-Dimensional First-Order Hamilton--Jacobi--Bellman Equations
6. Detrended Fluctuation Analysis for Continuous Real Variable Functions
7. E8 Phi-Resonance Decay Cascade for Financial Market Predictability — E8 Intelligence Research
8. Projected Neural Differential Equations for Learning Constrained Dynamics
9. Geometric Dictionary Learning of Dynamical Systems with Optimal Transport
10. Tensor-Train Weak SINDy: Identifying High-Dimensional Nonlinear Dynamics
11. Benign nonconvexity of synchronization landscape induced by graph skeletons
12. Dimensional Collapse and Anomalous Scaling in Multi-Asset Financial Markets: Real-Time Early Warning via Topological Phase Space Manifolds
13. Dimensional Collapse and Anomalous Scaling in Multi-Asset Financial Markets: Real-Time Early Warning via Topological Phase Space Manifolds
14. Fuzzy local reduced order models (fl-ROMs)
15. Two Adjoint Perspectives on Fokker-Planck Optimization: A Microscopic-Macroscopic Correspondence
16. E8 Phi-Coupled Root-Vector Eigenmode Decomposition for Cross-Domain Stochastic Pattern Extraction — E8 Intelligence Research
17. E8 Phi-Coupled Root-Vector Eigenmode Decomposition for Cross-Domain Stochastic Pattern Extraction — E8 Intelligence Research
18. Existence and Stability of Dancing Equilibria in Asymmetric Kuramoto Networks
19. Conformal Uncertainty Quantification Guarantees for Neural Operators
20. Data-driven Koopman mode approximation: A neural power iteration algorithm