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Grant Award View - GA215150
Computer-aided proofs for non-hyperbolic dynamics and blenders
GA ID:
GA215150
Agency:
Australian Research Council
Approval Date:
19-Jan-2022
Publish Date:
25-Jan-2022
Category:
Science, Technology, Engineering and Mathematics (STEM) Research
Grant Term:
1-Jul-2022 to 30-Jun-2025
Original: 19-Jan-2022 to 31-Dec-2024
Value (AUD):
$400,000.00
(GST inclusive where applicable)
Variations:
- GA215150-V1 - Variation to Grant (3-May-2023 )
One-off/Ad hoc:
No
Aggregate Grant Award:
No
PBS Program Name:
ARC 21/22 Discovery
Grant Program:
Discovery Projects
Grant Activity:
Computer-aided proofs for non-hyperbolic dynamics and blenders
Purpose:
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.
GO ID:
GO Title:
Discovery Projects for funding commencing in 2022
Internal Reference ID:
DP22 Round 1
Selection Process:
Targeted or Restricted Competitive
Confidentiality - Contract:
No
Confidentiality - Outputs:
No
Grant Recipient Details
Recipient Name:
Monash University
Recipient ABN:
12 377 614 012
Grant Recipient Location
Suburb:
MULGRAVE
Town/City:
MULGRAVE
Postcode:
3170
State/Territory:
VIC
Country:
AUSTRALIA
Grant Delivery Location
State/Territory:
VIC
Postcode:
3170
Country:
AUSTRALIA