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- Robert S. MacKay

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
47
Citations
9,744
198
World Ranking
924
National Ranking
67

- Quantum mechanics
- Mathematical analysis
- Geometry

Robert S. MacKay mainly focuses on Mathematical analysis, Invariant, Classical mechanics, Hamiltonian system and Mathematical physics. His Mathematical analysis study incorporates themes from Perturbation, Bifurcation, Saddle and Torus, Topology. His research integrates issues of Twist, Kolmogorov–Arnold–Moser theorem, Symplectic geometry and Periodic orbits in his study of Invariant.

His research in Classical mechanics intersects with topics in Instability, Subharmonic function, Signature, Nonlinear system and Eigenvalues and eigenvectors. The concepts of his Hamiltonian system study are interwoven with issues in Mathematical Operators, Statistical physics, Invariant and Phase space. His work carried out in the field of Mathematical physics brings together such families of science as Hertz, Dynamical systems theory, Quantum mechanics, Hamiltonian and Breather.

- Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators (727 citations)
- Transport in Hamiltonian systems (534 citations)
- A renormalization approach to invariant circles in area-preserving maps (179 citations)

His primary areas of study are Mathematical analysis, Classical mechanics, Pure mathematics, Mathematical physics and Invariant. As part of his studies on Mathematical analysis, Robert S. MacKay frequently links adjacent subjects like Bifurcation. His Classical mechanics research includes themes of Field, Magnetic field and Breather, Nonlinear system.

His work in Mathematical physics addresses issues such as Dynamical systems theory, which are connected to fields such as Geometry and Statistical physics. His Invariant study combines topics in areas such as Cantor set, Twist, Periodic orbits and Symplectic geometry. His work deals with themes such as Hamiltonian, Phase space, Torus and Invariant, which intersect with Hamiltonian system.

- Mathematical analysis (19.82%)
- Classical mechanics (16.74%)
- Pure mathematics (14.54%)

- Dynamical systems theory (11.01%)
- Field (3.52%)
- Topology (7.49%)

His scientific interests lie mostly in Dynamical systems theory, Field, Topology, Classical mechanics and Homogeneous space. His Dynamical systems theory research incorporates elements of Statistical physics, Linear system, Gaussian noise and Stability theory. His Classical mechanics research is multidisciplinary, relying on both Function, Motion, Magnetic field and Flux.

His biological study deals with issues like Continuous symmetry, which deal with fields such as Mathematical physics. His Homogeneous space research incorporates elements of Symmetry, Space, Mathematical analysis, Rotational symmetry and Grad–Shafranov equation. His research ties Euclidean geometry and Mathematical analysis together.

- Hamiltonian dynamical systems (159 citations)
- Frontiers of chaotic advection (116 citations)
- Some mathematics for quasi-symmetry (12 citations)

- Quantum mechanics
- Mathematical analysis
- Geometry

His primary areas of study are Field, Dynamical systems theory, Classical mechanics, Topology and Standard definition. His Field research integrates issues from Symmetry, Fluid mechanics, Nonlinear system, Space and Grad–Shafranov equation. He combines subjects such as Mathematical analysis, Rotational symmetry, Magnetohydrodynamics, Homogeneous space and Elliptic partial differential equation with his study of Symmetry.

His Dynamical systems theory research includes elements of Good quantum number, Superintegrable Hamiltonian system and Management science. He brings together Classical mechanics and Quasi symmetry to produce work in his papers. His study in Coherence extends to Topology with its themes.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

R S MacKay;S Aubry.

Nonlinearity **(1994)**

1172 Citations

Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators

R S MacKay;S Aubry.

Nonlinearity **(1994)**

1172 Citations

Transport in Hamiltonian systems

R.S. Mackay;J.D. Meiss;I.C. Percival.

Physica D: Nonlinear Phenomena **(1984)**

972 Citations

Transport in Hamiltonian systems

R.S. Mackay;J.D. Meiss;I.C. Percival.

Physica D: Nonlinear Phenomena **(1984)**

972 Citations

Renormalisation in Area-Preserving Maps

Robert Sinclair MacKay.

**(1993)**

423 Citations

Renormalisation in Area-Preserving Maps

Robert Sinclair MacKay.

**(1993)**

423 Citations

Universal behaviour in families of area-preserving maps

J.M. Greene;R.S. MacKay;F. Vivaldi;M.J. Feigenbaum.

Physica D: Nonlinear Phenomena **(1981)**

392 Citations

Universal behaviour in families of area-preserving maps

J.M. Greene;R.S. MacKay;F. Vivaldi;M.J. Feigenbaum.

Physica D: Nonlinear Phenomena **(1981)**

392 Citations

A renormalization approach to invariant circles in area-preserving maps

R.S. MacKay.

Physica D: Nonlinear Phenomena **(1983)**

338 Citations

A renormalization approach to invariant circles in area-preserving maps

R.S. MacKay.

Physica D: Nonlinear Phenomena **(1983)**

338 Citations

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