Objective
Research objectives and content
Asymptotic expansions of the solutions for the dynamics of a viscoelastic link model with transcritical bifurcation have been determined using multiple time-scale expansions and matched asymptotic expansions. I have located the transition layers. There are further aspects of the model that need investigation. The objective of the proposed research is to study the problem using modern mathematical tools of Dynamical Systems Theory and Numerical Bifurcation Theory. The center-unstable manifold will be investigated and numerically calculated. Similar results will be obtained for the dynamics of other models corresponding to static pitchfork and hysteresis bifurcations. This work would be new and extend my current research to a Ph.D. standard.
Training content (objective, benefit and expected impact)
The objective of the training is to provide me with expertise in modern Dynamical Systems Theory and Numerical Methods and extend my current research. Part of the M.Sc. in Nonlinear Mathematics would provide me with training in dynamical systems, bifurcation theory, numerical bifurcation theory and nonlinear elasticity. Bath's series of industrial workshops and its hosting of the European Study Group with Industry would give me significant traning in the application of mathematics to industrial problems.
Links with industry / industrial relevance (22)
The proposed training involves participation in a series of industrial workshops and the European Study Group with Industry.
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 mathematics applied mathematics dynamical systems
- natural sciences mathematics applied mathematics numerical analysis
You need to log in or register to use this function
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.
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.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Data not available
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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.
Coordinator
BA2 7AY BATH
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.