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Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
Existence of 'breathers', that is, time-periodic, spatially localized solutions, is proved for a broad range of time-reversible or Hamiltonian networks of weakly coupled oscillators. Some of their…
Renormalisation in Area-Preserving Maps
- R. MacKay
- Physics
- 1 August 1993
Part 1 Introduction to area-preserving maps: conservative systems and maps periodic orbits invariant circles stochastic behaviour. Part 2 Introduction to renormalization: renormalization in physics…
Stability of water waves
- R. MacKay, P. Saffman
- MathematicsProceedings of the Royal Society of London. A…
- 8 July 1986
We apply some general results for Hamiltonian systems, depending on the notion of signature of eigenvalues, to determine the circumstances under which collisions of imaginary eigenvalue for the…
INTRODUCTION TO THE MODERN THEORY OF DYNAMICAL SYSTEMS (Encyclopaedia of Mathematics and its Applications 54)
- R. MacKay
- Mathematics
- 1997
The physics of gamma-ray bursts
- R. MacKay
- PhysicsContemporary Physics
- 25 August 2020
Gamma-ray bursts (GRBs) are a fascinating cosmological phenomenon. They can last from ten milliseconds to several hours and are often followed by an afterglow at progressively longer wavelengths. T...
Transport in 3D volume-preserving flows
- R. MacKay
- Physics
- 1 December 1994
SummaryThe idea of surfaces of locally minimal flux is introduced as a key concept for understanding transport in steady three-dimensional, volume-preserving flows. Particular attention is paid to…
Transport in Hamiltonian Systems
- R. MacKay, J. Meiss, I. Percival
- PhysicsHamiltonian Dynamical Systems
- 1 August 1984
Localized oscillations in conservative or dissipative networks of weakly coupled autonomous oscillators
- J. Sepulchre, R. MacKay
- Mathematics
- 1 May 1997
We address the issue of spatially localized periodic oscillations in coupled networks - so-called discrete breathers - in a general context. This context is concerned with general conditions which…
Frontiers of chaotic advection
This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid mechanics and…
Multistability in networks of weakly coupled bistable units
- R. MacKay, J. Sepulchre
- Mathematics
- 20 January 1995
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