Project description
Investigating the topological properties of Hénon maps
The Hénon map is a prominent example of a dynamical system demonstrating chaotic behaviour. Despite being studied for more than 40 years, its topology is not yet fully understood owing to the lack of proper techniques for its investigation. Funded by the Marie Sklodowska-Curie Actions programme, the PFSAIL project will investigate topological and dynamical aspects of Hénon maps. The study will build on recent advances on parametrised families of Hénon strange attractors. Researchers will also borrow techniques from various mathematical fields, such as topology and symbolic dynamics.
Objective
This project aims to study topological and dynamical aspects of two dimensional paradigm of chaos called Hénon attractors and introduce new treatable parametrised family of strange attractors appearing in smooth dynamical systems. Despite Hénon attractors have been known to mathematicians for more than 40 years, the topology of the attractors has not been studied in details yet. The main obstacle that such a study has not been established was the lack of techniques necessary to perform it. Building on recent advances in describing parametrised families of strange attractors using inverse limits we will delve in such a detailed study and give new results on topological, dynamical and measure-theoretic features appearing in parametrised families of strange attractors. We will use methods and techniques from Topological, Smooth, Surface and Symbolic Dynamics as well as Continuum and Ergodic Theory.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
-
HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
See all projects funded under this programme
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
See all projects funded under this funding scheme
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2021-PF-01
See all projects funded under this callCoordinator
Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
75007 PARIS
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.