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H2020Staff exchange2018–2024

Dynamics · Contributions to codimension k bifurcations in dynamical systems theory

Horizon 2020 — Marie Skłodowska-Curie Actions

Duration
2018-04-01 → 2024-03-31
EU contribution
€1,012,500
Participants
16
Scheme
MSCA-RISE

Lines connect the coordinator with its partners. CORDIS does not always give exact coordinates for projects before 2014. These points are placed at city or country level.

Results in brief

Contributions to codimension k bifurcations in dynamical systems theory

Dynamical systems theory (DST) and its applications is a vast area of research where new knowledge is expected to be discovered. The problem addressed in this project is to study different classes of continuous and discrete dynamical systems (smooth or non-smooth). The problem is important for society because new results in this area lead to a better understanding of real-life phenomena, met in biology, medicine, engineering and ecology. The overall project objectives are to produce new knowledge in DST and provide training to early-stage researchers. As a general conclusion, the project’s success can be measured by the new results reported in the more 60 articles published mostly in high-ranking international journals. About 45 researchers took part in project activities and benefited from valuable networking opportunities during the 225 months of secondments on the project.

Data: CORDIS, © European Union

Project objective

The overall project objectives are to produce new knowledge in the area of codim k bifurcations for continuous and discrete (smooth and non-smooth) dynamical systems and provide training in this area of research to early stage researchers. More exactly, we plan firstly to study degenerate two-dimensional Bautin bifurcation for the case when the second Lyapunov coefficient equals zero. Secondly, we aim to study degenerate four-dimensional Hopf-Hopf bifurcations. The degeneracy arises in this case when one or more of the nine generic conditions needed in obtaining a normal form fail to be satisfied. The third and fourth objectives are to study other codim k bifurcations in smooth and non-smooth dynamical systems arising from other bifurcations which bear or not a known name in the literature. In particular, we will focus on discontinuous piecewise differential systems, respectively, continuous and discrete non-smooth dynamical systems resulting from modelling oscillators with impacts. A number of about 40 researchers (30 ERs and 10 ESRs) will contribute to achieving the project objectives by a networking approach based on about 225 months of secondments. Two types of secondments are planned, one for research and another for training. The training is of type training-through-research. During the research secondments, the project ERs will perform research for achieving the planned project tasks and will support ESRs on their training. The training secondments are dedicated to ESRs. Apart from the planned training, the ESRs will participate also to the project research. They will receive specific research tasks from their local managers to contribute to the project research objectives.

Original text from CORDIS.

Participants

  • UNIVERSITATEA POLITEHNICA TIMISOARA · TimisoaraCoordinatorRomania
  • ACMIT GMBH · Wiener NeustadtAustria
  • BELARUSIAN STATE UNIVERSITY · MinskBelarus
  • JOHNS HOPKINS UNIVERSITY · BaltimoreUnited States
  • OBUDAI EGYETEM · BUDAPESTHungary
  • QUEEN'S UNIVERSITY AT KINGSTON · KingstonCanada
  • SHANGHAI JIAO TONG UNIVERSITY · SHANGHAIChina
  • UNIVERSIDAD DEL BIO-BIO · ConcepcionChile
  • UNIVERSIDADE DE SAO PAULO · SAO PAULO SPBrazil
  • UNIVERSITAT AUTONOMA DE BARCELONA · Cerdanyola Del VallesSpain
  • UNIVERSITATEA BABES BOLYAI · Cluj-NapocaRomania
  • UNIVERSITATEA DE VEST DIN TIMISOARA · TIMISOARARomania
  • UNIVERSITATEA DIN CRAIOVA · CRAIOVARomania
  • UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE · CharlotteUnited States
  • UNIVERSITY OF WATERLOO · WaterlooCanada
  • YANKA KUPALA STATE UNIVERSITY OF GRODNO · GrodnoCity levelBelarus

Links

Data: CORDIS, © European Union