Project description
A mathematical crystal ball for the future and the past
Most real-life processes are dynamical systems, systems that evolve over time and in a defined 'state space' (akin to the various states the system can be in) according to a fixed rule. They are related sets of processes through which matter or energy flows, continually changing. Populations, epidemics and economies at all scales are examples of dynamical systems. Discrete dynamical systems evolve in discrete time steps. The EU-funded LISEDIDYS project is investigating the limit sets of such systems into the future or the past as well as where they end up after an infinite amount of time has passed. Applying a variety of mathematical techniques and methods, the project's outcomes will enhance understanding of the long-term behaviour of discrete dynamical systems.
Objective
The proposed project aims to deepen our knowledge on limit sets which will provide a better understanding of the long term behavior of a discrete dynamical system. We will investigate the topological size and structure of basins of limit sets and study the properties of statistical limit sets and limit sets of backward trajectories. We will search for a criterion allowing to decide whether a given closed invariant set is a limit set of some backward trajectory. The focus will be on the low-dimensional dynamical systems such as interval maps, maps acting on the circle, graphs, dendrites, Cantor space. We will use methods and techniques from topological dynamics and ergodic theory, including combinatorial and symbolic dynamics, shadowing, specification property, invariant measures and generic points.
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.
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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-CAR - CAR – Career Restart panel
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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-2019
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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.
30-059 Krakow
Poland
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.