Objective
This project is an exploration of the essence of chaos. Chaos and chaotic systems are by their very nature unpredictable. Paradoxically, the manner in which systems transition into chaotic regimes is highly structured and rigid. This contradiction can be explained mathematically through an elegant process called renormalization. Renormalization is like a microscope which can be used to observe the shape of fractals that appear on the boundary of chaos. One aspect of the structure of chaos is that such fractals on a large scale may look nothing like each other, but as the magnification factor on the microscope is increased they look more and more alike. This is expressed by saying that renormalization converges. Convergence of renormalization has been a consistent theme since the very inception of chaos theory, thus it was believed that the structure of chaos was thoroughly understood. In an unexpected twist, the applicant recently made the groundbreaking discovery that there are natural systems for which the renormalization sometimes is convergent and at other times degenerate. This reveals that the structure of chaos in fact is much more intricate than was previously imagined.
Building on this radical discovery, the proposed project marks the start of an entirely new chapter in chaos theory. The objective is to explore this new notion of coexistence of convergent and degenerate behavior of renormalization, and to explain the consequences it has on the structure of chaos. The research will benefit the field of dynamical systems by expanding the knowledge of chaos into new and unexplored territory. It will also expand the reach of renormalization closer to systems which have relevance for the natural sciences as well as mathematics. The project hinges on the applicant joining the supervisor and members of the dynamical systems group at Imperial College, who are leading global experts, in order to learn cutting-edge techniques and spark new discussions.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences computer and information sciences artificial intelligence machine learning reinforcement learning
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences physical sciences optics microscopy
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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.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
MSCA-IF-EF-ST - Standard EF
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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) H2020-MSCA-IF-2016
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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.
SW7 2AZ London
United Kingdom
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.