Objective
The theory of dynamical systems aims to understand the nature of the behaviour of solutions of evolution equations, describing processes in a broad spectrum of scientific disciplines. Dynamical systems that arise in the context of applications often admit additional structure with important consequences for the dynamics. For instance, mechanical systems often possess symmetry and Hamiltonian structure. Many mechanical systems are described by Hamiltonian equations, such as the celebrated Henon-Heiles model of galactic motion, the motion of nonlinear three-dimensional vibrations of strings, localized travelling waves in Hamiltonian lattices (Fermi-Pasta-Ulam chain), vortex dynamics (related to hydrodynamics problems) and non-holonomic dynamics. The main goal of the proposed project is to develop mathematical methods of the bifurcation theory for dynamical systems with special structures. In particular, the focus will be on bifurcations involving homoclinic solutions, which lie at the basis of the understanding of complicated recurrent dynamics, better known as chaos. While homoclinic bifurcations have been extensively studied in the context of general systems (without additional structure), the problem of homoclinic bifurcation in Hamiltonian systems has received relatively little attention, despite its obvious relevance for many practical applications. This is mainly due to the fact that homoclinic bifurcations in Hamiltonian systems are often much more challenging than those in general systems. The project objectives include the study of global bifurcations in systems with different types of homoclinic and heteroclinic orbits leading to a creation of novel methods for the study of Hamiltonian systems with symmetry. An important objective of the proposed project is the application of these mathematical methods to study the dynamics of an axisymmetric rigid body in a gravity field, which is a fundamental open problem in the field of theoretical mechanics.
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: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
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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.
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.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2007-4-2-IIF
See other projects for this call
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
603950 NIZHNY NOVGOROD
Russia
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.