Project Grant 2350184
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program seeks to advance the understanding of dynamical systems and the evolution from ordered to chaotic behavior. The $249,103 award to the Research Foundation of the City University of New York, effective July 1, 2024 through June 30, 2026, will support research aimed at developing new conceptual ideas, approaches, and theoretical frameworks to transcend the limitations of...
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences supports research on the theory of dynamical systems and conformal dynamical systems. The award, totaling $262,205 over 3 years starting on August 1, 2024, will fund work to address longstanding conjectures and open new research directions in this field. The project will leverage tools from complex analysis, hyperbolic geometry, and arithmetic geometry to study moduli spaces of one-dimensional...
- This National Science Foundation Project Grant award of $424,370 provides funding over five years from June 2022 through May 2027 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports research at the University of Maryland, College Park to advance fundamental knowledge of dynamical systems through the study of long-term behavior of parabolic systems, which display sub-exponential divergence of orbits in contrast to hyperbolic systems. The...
- This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $375,740, will support research into dynamical systems and their statistical properties. Specifically, the principal investigator at the University of Chicago will investigate questions around the stability, generic features, and rigid symmetries of smooth dynamical systems. This includes attempting to prove the symplectic version of the C1 Pugh-Shub conjecture regarding when...
- This Project Grant awarded by the National Science Foundation's (NSF) Engineering program (CFDA 47.041) supports research to advance the analysis of dynamical systems with fast and slow time-varying signals and parameters, including abrupt changes. The $422,734 award, effective August 1, 2025 through July 31, 2028, aims to develop a novel theoretical framework that combines nonlinear system theory, switched/hybrid systems, and Lyapunov stability techniques. This research is expected to expand...
- This three-year, $369,435 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research into holomorphic dynamics and related themes in dynamical systems at Stony Brook University. The principal investigator will investigate renormalization as a tool for elucidating small-scale structure in one-dimensional dynamical objects like the Mandelbrot set. Specific topics include a semi-local theory of neutral maps and bounds for...
- This federal Project Grant award of $338,937.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the stability, rigidity, and dynamics of complex mathematical and physical systems. The principal investigator intends to investigate topics such as energy transfer in Hamiltonian systems, instability of equilibria, and KAM (Kolmogorov-Arnold-Moser) stability without transversality conditions. This research will provide...
- This Project Grant award, with a total funding amount of $166,285, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports the development of new mathematical approaches for analyzing complex bifurcations in high-dimensional dynamical systems. This work aims to enable quantitative and qualitative progress in the study of data-driven, detailed, and phenomenologically-reduced models with complex...
- This Project Grant award from the National Science Foundation's (NSF) Division of Mathematical and Physical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) provides $270,619 in funding to Kansas State University for collaborative research on higher-dimensional dynamical systems. The project aims to advance the understanding of dynamics in several complex variables by bridging the gap between one-dimensional and higher-dimensional holomorphic dynamics. Key goals include characterizing...
- This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program provides $300,000 to apply dynamical and computer-assisted methods to Hamiltonian systems. The grant recipient, located in Brooklyn, NY, will use the funding from Oct. 2021 through Sep. 2024 to advance understanding of major problems in the mathematical and physical sciences through increasing the store of scientific knowledge on dynamical systems and mechanics. As part of the NSF's...
This federal Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support research at New York University (NYU) to advance the theory of dynamical systems and investigate its applications in fields such as engineering and the biological sciences. The $375,506 award, effective from July 1, 2024 to June 30, 2029, will fund four primary research projects: The award is intended to broaden the reach of dynamical systems theory, bridge the gap between theory and real-world applications, and provide valuable training opportunities for students and postdoctoral researchers.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $375.5k | 4/10/24 |