Project Grant 2452194
- 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 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...
- The National Science Foundation awarded Michigan State University a $438,999 project grant under the Mathematical and Physical Sciences program (CFDA 47.049) for research titled "COLLABORATIVE RESEARCH: NON-PERTURBATIVE ANALYSIS FOR MULTI-DIMENSIONAL QUASIPERIODIC SYSTEMS" from July 1, 2021 to June 30, 2024. The grant aims to advance understanding of major problems in the mathematical and physical sciences through supporting progress in mathematics and statistics. Specifically, the...
- This federal Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program provides $300,000.00 in funding to the University of Chicago from July 15, 2025 to June 30, 2028. The project, titled "Stability, Typicality and Rigidity in Smooth Dynamics," will explore the mathematical rules governing the coexistence of order and chaos in dynamic systems, with potential implications for weather forecasting, data security, and other...
- This Project Grant award of $199,999.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on dynamical systems and postcritically finite rational maps. The award aims to extensively study postcritically finite parameters and record essential data that uniquely encode them, with the goal of improving the understanding of the global structure of the parameter space in complex dynamics. The project will leverage research at the...
- This $215,673 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) funds research at the University of Maryland, College Park focusing on chaotic properties of smooth dynamical systems on manifolds. The three-year project grant beginning June 1, 2023 supports developing a framework for understanding chaotic behavior in dynamical systems, with potential applications in mathematics, physics, economics and other fields. It also involves training...
- The National Science Foundation (NSF) awarded a $267,481 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of California, Berkeley. This grant, entitled "DYNAMICAL RIGIDITY THROUGH INCIDENCE GEOMETRY", will develop analytical methods to approximate the state of certain dynamical systems to within manageable errors, with an eye towards computational feasibility. The project will further the understanding of quantitative...
- 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: Extending finite-dimensional dynamical systems...
- 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 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will provide $218,760 to Michigan State University to develop novel analytical frameworks for studying rigidity phenomena in weakly chaotic dynamical systems. The research project aims to advance both theoretical insights and practical applications in areas such as weather prediction, power grid stability, encrypted communications, and spacecraft navigation. The project involves two main components: applying Kolmogorov-Arnold-Moser (KAM) theory to treat general higher-rank parabolic actions, and developing new analytic and geometric tools to construct smooth coordinate changes for upgrading weaker equivalences to smooth conjugacy in rank-one dynamics. The award also includes an educational component focused on graduate mentoring, public seminars, and online tutorials to cultivate the next generation of U.S. researchers in STEM fields. The project will be conducted at Michigan State University over a 3-year period from September 1, 2025 to August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $218.8k | 7/23/25 |