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John Mallet-Paret

John Mallet-Paret

D-Index & Metrics

Mathematics

D-Index
44
Citations
8586
World Ranking
1574
National Ranking
678

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

John Mallet-Paret is affiliated with Brown University in the United States. Their research primarily spans the fields of mathematics and medicine, with a focus on numerical analysis and public health, environmental, and occupational health. Their work has contributed to understanding differential equations, numerical methods for differential equations, and mathematical and theoretical epidemiology and ecology models.

Key topics addressed in their research include:

  • Differential Equations and Numerical Methods
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Numerical methods for differential equations

Mallet-Paret has published work in the area of delay-differential equations, with a notable paper titled Analytic Solutions of Delay-Differential Equations published in 2021 in the Journal of Dynamics and Differential Equations.

Their collaboration network includes frequent work with Roger D. Nussbaum.

Their publication venue record includes contributions to:

  • Journal of Dynamics and Differential Equations

In recognition of their contributions to mathematics, John Mallet-Paret was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Finding zeroes of maps: homotopy methods that are constructive with probability one

    Shui Nee Chow;John Mallet-Paret;James A. Yorke

  • Traveling Waves in Lattice Dynamical Systems

    Shui-Nee Chow;Shui-Nee Chow;John Mallet-Paret;Wenxian Shen

  • THE POINCARE-BENDIXSON THEOREM FOR MONOTONE CYCLIC FEEDBACK SYSTEMS WITH DELAY

    John Mallet-Paret;George R. Sell

  • The Global Structure of Traveling Waves in Spatially Discrete Dynamical Systems

    John Mallet-Paret

  • Inertial manifolds for reaction diffusion equations in higher space dimensions

    John Mallet-Paret;George R. Sell

  • An example of bifurcation to homoclinic orbits

    Shui-Nee Chow;Jack K. Hale;John Mallet-Paret

  • The Poincare-Bendixson theorem for monotone cyclic feedback systems

    John Mallet-Paret;Hal L. Smith

  • The Fredholm Alternative for Functional Differential Equations of Mixed Type

    John Mallet-Paret

  • Pattern formation and spatial chaos in lattice dynamical systems. II

    J. Mallet-Paret;S.-N. Chow

  • Integral averaging and bifurcation

    Shui-Nee Chow;John Mallet-Paret

  • Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation

    John Mallet-Paret;Roger D. Nussbaum

  • Traveling wave solutions for systems of ODEs on a two-dimensional spatial lattice

    John W. Cahn;John Mallet-Paret;Erik S. Van Vleck

  • Negatively invariant sets of compact maps and an extension of a theorem of Cartwright

    John Mallet-Paret;John Mallet-Paret

  • Systems of Differential Delay Equations: Floquet Multipliers and Discrete Lyapunov Functions

    John Mallet-Paret;George R. Sell

  • Morse Decompositions for delay-differential equations

    John Mallet-Paret

  • The Lyapunov dimension of a nowhere differentiable attracting torus

    James L. Kaplan;John Mallet-Paret;James A. Yorke

  • The Fuller index and global Hopf bifurcation

    Shui-Nee Chow;John Mallet-Paret

  • Boundary layer phenomena for differential-delay equations with state-dependent time lags, I.

    John Mallet-Paret;John Mallet-Paret;Roger D. Nussbaum;Roger D. Nussbaum

  • Applications of generic bifurcation. II

    Shui-Nee Chow;Jack K. Hale;John Mallet-Paret

  • A differential-delay equation arising in optics and physiology

    John Mallet-Paret;Roger D. Nussbaum

Frequent Co-Authors

Roger D. Nussbaum
Roger D. Nussbaum Rutgers, The State University of New Jersey
Shui-Nee Chow
Shui-Nee Chow Georgia Institute of Technology
James A. Yorke
James A. Yorke University of Maryland, College Park
George R. Sell
George R. Sell University of Minnesota
Hal L. Smith
Hal L. Smith Arizona State University
Jack K. Hale
Jack K. Hale Georgia Institute of Technology
Josef Hofbauer
Josef Hofbauer University of Vienna
Lambertus A. Peletier
Lambertus A. Peletier Leiden University
Martin Golubitsky
Martin Golubitsky The Ohio State University
John W. Cahn
John W. Cahn National Institute of Standards and Technology

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