Latest Research in Dynamical Systems

Top Research Topics in Dynamical Systems

• Differential Geometry — 196 papers
• High Energy Physics - Theory — 25 papers
• Algebraic and Geometric Analysis — 18 papers
• Geometric Analysis and Curvature Flows — 17 papers
• Dynamical Systems — 15 papers
• Topological Materials and Phenomena — 14 papers
• Mathematical Physics — 14 papers
• Homotopy and Cohomology in Algebraic Topology — 13 papers
• Complex Variables — 13 papers
• Polynomial and algebraic computation — 12 papers

Highest-Cited Papers

1. An Anatomy of Illusions: A Pedagogical Taxonomy of Failed Resolutions to the Hodge Conjecture
2. An Anatomy of Illusions: A Pedagogical Taxonomy of Failed Resolutions to the Hodge Conjecture
3. A Unconditional Weak $\mathrm{GL}(12)$ Transfer for the $(2,3)$ Symmetric-Power Tensor (v3.0)
4. The Carlo Geometry Quartet: A Unified Symbolic Framework for Cycles, Complex Structure, Curvature, and Ricci‑Flat Geometry
5. The Carlo Geometry Quartet: A Unified Symbolic Framework for Cycles, Complex Structure, Curvature, and Ricci‑Flat Geometry
6. A Conditional Weak $\mathrm{GL}(12)$ Transfer for the $(2,3)$ Symmetric-Power Tensor (v2.0)
7. The Jacobian Conjecture after the Three-Dimensional Counterexample: Exact Validation, a General Seed Family, the Geometry of Non-Properness, and Two-Dimensional Equivariant Rigidity
8. Exact replication and screening of tropical finiteness certificates for central configurations
9. A non-classical Painlevé V transcendent from a quadratic polynomial continued fraction: surface classification and resurgent Stokes data (4 citations)
10. Mathieu M24 Moonshine Rigidity, Mukai Lattices, and Holographic BPS Dyons on K3 × T²
11. The Jacobian Conjecture after the Three-Dimensional Counterexample: Exact Validation, a General Seed Family, the Geometry of Non-Properness, and Two-Dimensional Equivariant Rigidity
12. Hodge Target Identification Without Full Edge-Flow Reconstruction: Accounting-Constrained Inference for Signed-Net Economic Flows on a Declared Network Complex
13. A non-classical Painlevé V transcendent from a quadratic polynomial continued fraction: surface classification and resurgent Stokes data (4 citations)
14. Catalan's Constant, Mock Theta, Euler Product, Jones polynomial: All one geometry?
15. Formal Resolution of Three Advanced Frontier Problems in the Lean 5 Agora Corpus: Kummer Surface Modularity, Non-Perturbative SYM Instantons, and Holographic Entanglement Strong Subadditivity
16. Hodge Target Identification Without Full Edge-Flow Reconstruction: Accounting-Constrained Inference for Signed-Net Economic Flows on a Declared Network Complex
17. The Jacobian Conjecture after the Three-Dimensional Counterexample: Exact Validation, a General Seed Family, the Geometry of Non-Properness, and Two-Dimensional Equivariant Rigidity
18. Phi-Resonant E8 Modular Flow — E8 Intelligence Research
19. Regularity for a sum of two squares in two variables with symplectic characteristic manifold
20. The Collateral Impact of the Three-Dimensional Jacobian Counterexample: a Source-Verified Cascade