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Robert S. MacKay
Researcher at University of Warwick
Publications - 232
Citations - 7906
Robert S. MacKay is an academic researcher from University of Warwick. The author has contributed to research in topics: Hamiltonian system & Invariant (mathematics). The author has an hindex of 43, co-authored 224 publications receiving 7436 citations. Previous affiliations of Robert S. MacKay include The Turing Institute & University College London.
Papers
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Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
Robert S. MacKay,Serge Aubry +1 more
TL;DR: In this paper, the existence of time-periodic, spatially localized solutions for weakly coupled oscillators is proved for a broad range of time reversible or Hamiltonian networks.
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Transport in Hamiltonian systems
TL;DR: In this article, the authors developed a theory of transport in Hamiltonian systems in the context of iteration of area-preserving maps, where invariant closed curves present complete barriers to transport, but in regions without such curves there are invariant Cantor sets named cantori, which appear to form partial barriers.
Book
Renormalisation in Area-Preserving Maps
TL;DR: In this paper, the universal one parameter family discussion renormalization for maps on a circle has been discussed, as well as period doubling in area-preserving maps: period doubling sequencers.
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Frontiers of chaotic advection
Hassan Aref,John Blake,Marko Budišić,Silvana S. S. Cardoso,Julyan H. E. Cartwright,Herman Clercx,Kamal El Omari,Ulrike Feudel,Ramin Golestanian,Emmanuelle Gouillart,GertJan van Heijst,Tatyana S. Krasnopolskaya,Yves Le Guer,Robert S. MacKay,Vyacheslav V. Meleshko,Guy Metcalfe,Igor Mezic,Alessandro P. S. de Moura,Oreste Piro,Michel F.M. Speetjens,Rob Sturman,Jean-Luc Thiffeault,Idan Tuval +22 more
TL;DR: In this article, the present position of and survey future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid mechanics and nonlinear dynamics, which encompasses a range of applications with length scales ranging from micrometers to hundreds of kilometers.
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Three coupled oscillators: mode-locking, global bifurcations and toroidal chaos
TL;DR: In this article, the authors describe and explain the aspects of the bifurcation diagram for two-parameter families of torus maps that involve change of mode-locking type, which correspond to the presence of one or two rational relations between the frequencies, respectively.