D-Index & Metrics Best Publications

D-Index & Metrics

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 38 Citations 7,585 122 World Ranking 1137 National Ranking 513

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

James D. Meiss spends much of his time researching Mathematical analysis, Invariant, Hamiltonian system, Phase space and Statistical physics. His Mathematical analysis study combines topics in areas such as Born approximation and Pure mathematics. His Invariant study incorporates themes from Computation, Torus, Markov chain, Homoclinic orbit and Symplectic geometry.

His biological study spans a wide range of topics, including Dynamical systems theory, Algebraic number and Mathematical model. The Dynamical systems theory study which covers Hamiltonian that intersects with Classical mechanics. James D. Meiss has included themes like Stochastic process, Mathematical Operators, Invariant, Nonlinear system and Standard map in his Statistical physics study.

His most cited work include:

  • Transport in Hamiltonian systems (534 citations)
  • Symplectic maps, variational principles, and transport (525 citations)
  • Stochastic dynamical systems (215 citations)

What are the main themes of his work throughout his whole career to date?

James D. Meiss mainly focuses on Mathematical analysis, Invariant, Classical mechanics, Pure mathematics and Chaotic. James D. Meiss has researched Mathematical analysis in several fields, including Bifurcation diagram, Pitchfork bifurcation, Saddle-node bifurcation, Bifurcation and Twist. The various areas that James D. Meiss examines in his Invariant study include Fixed point, Phase space, Torus, Integrable system and Standard map.

His studies deal with areas such as Bounded function and Homoclinic orbit as well as Phase space. James D. Meiss works mostly in the field of Classical mechanics, limiting it down to topics relating to Dynamical systems theory and, in certain cases, Invariant and Computational topology. His biological study deals with issues like Statistical physics, which deal with fields such as Markov chain and Mathematical model.

He most often published in these fields:

  • Mathematical analysis (28.90%)
  • Invariant (25.69%)
  • Classical mechanics (19.72%)

What were the highlights of his more recent work (between 2016-2021)?

  • Invariant (25.69%)
  • Pure mathematics (18.35%)
  • Dynamical systems theory (9.17%)

In recent papers he was focusing on the following fields of study:

Invariant, Pure mathematics, Dynamical systems theory, Symplectic geometry and Mathematical analysis are his primary areas of study. His Invariant study combines topics from a wide range of disciplines, such as Diffeomorphism, Torus and Bifurcation. His research investigates the connection between Torus and topics such as Chaotic that intersect with problems in Statistical physics.

His studies deal with areas such as Persistent homology, Hamiltonian system, Topological data analysis, Free parameter and Nonlinear system as well as Dynamical systems theory. His work on Kolmogorov–Arnold–Moser theorem as part of general Hamiltonian system study is frequently connected to Foliation, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His Mathematical analysis study incorporates themes from Dynamical system, Twist and Resonance.

Between 2016 and 2021, his most popular works were:

  • Hamiltonian dynamical systems (159 citations)
  • Universal exponent for transport in mixed Hamiltonian dynamics. (14 citations)
  • Computational Topology Techniques for Characterizing Time-Series Data (10 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

The scientist’s investigation covers issues in Dynamical systems theory, Mathematical physics, Symplectic geometry, Mathematical analysis and Computation. He works mostly in the field of Mathematical physics, limiting it down to topics relating to Hamiltonian and, in certain cases, Hamiltonian system, as a part of the same area of interest. The subject of his Hamiltonian system research is within the realm of Classical mechanics.

His Symplectic geometry research is classified as research in Pure mathematics. His Mathematical analysis research includes elements of Dynamical system, Twist, Resonance and Constant. His Computation research incorporates themes from Geometry, Invariant, Torus, Algebraic number and Bubble.

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.

Best Publications

Transport in Hamiltonian systems

R.S. Mackay;J.D. Meiss;I.C. Percival.
Physica D: Nonlinear Phenomena (1984)

949 Citations

Symplectic maps, variational principles, and transport

J. D. Meiss.
Reviews of Modern Physics (1992)

755 Citations

Differential dynamical systems

James D. Meiss.
(2007)

474 Citations

Stochastic dynamical systems

Joseph Honerkamp;James D. Meiss.
Physics Today (1994)

326 Citations

Hamiltonian dynamical systems : a reprint selection

R. S. Mackay;J. D. Meiss.
Bristol: Adam Hilger (1987)

303 Citations

Markov tree model of transport in area-preserving maps

James D. Meiss;Edward Ott.
Physica D: Nonlinear Phenomena (1986)

285 Citations

Markov-Tree model of intrinsic transport in Hamiltonian systems.

James D. Meiss;Edward Ott.
Physical Review Letters (1985)

270 Citations

Hamiltonian dynamical systems

R.S MacKay;J.D Meiss.
(2020)

245 Citations

Solitary drift waves in the presence of magnetic shear

J. D. Meiss;W. Horton.
Physics of Fluids (1983)

239 Citations

Stochasticity and Transport in Hamiltonian Systems

R. S. MacKay;J. D. Meiss;I. C. Percival.
Physical Review Letters (1984)

211 Citations

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Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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