Discovery Projects - Grant ID: DP220100492

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220100492

Funding Status
Active

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Funded Activity Summary

Computer-aided proofs for non-hyperbolic dynamics and blenders . This project aims to develop methods to rigorously detect certain geometric structures in systems that are known to imply chaos and are robust under perturbation. Such structures include blenders and robust heterodimensional cycles and homoclinic tangencies. This project expects to generate new knowledge in the area of non hyperbolic dynamics utilising a novel combination of recent developments in Dynamical Systems and techniques from rigorous numerics. Expected outcomes of this project include an efficient computation platform aimed at detecting and verifying chaos-inducing objects in complex dynamical systems. This should provide significant benefits, such as an increased understanding of non-hyperbolic dynamical systems.

Funded Activity Details

Start Date: 01-07-2022

End Date: 30-06-2025

Funding Scheme: Discovery Projects

Funding Amount: $400,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Dynamical Systems in Applications | Pure Mathematics | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Numerical and Computational Mathematics not elsewhere classified

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Dynamical Systems in Applications | Expanding Knowledge in the Mathematical Sciences | Numerical and Computational Mathematics not elsewhere classified | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Pure Mathematics

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