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Mathematics

D-Index
39
Citations
9187
World Ranking
2141
National Ranking
908

Research.com Recognitions

  • 2002 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Frank C. Hoppensteadt is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research spans several fields, demonstrating interdisciplinary expertise across neuroscience, computer science, and engineering.

Their work addresses key topics in neural dynamics and brain function, neural networks and reservoir computing, and advanced memory and neural computing. These areas reflect a focus on understanding complex computational processes in the brain and applying these insights to artificial intelligence and engineering systems.

Hoppensteadt has contributed to the scientific community with publications that include the paper titled A Frequency-Phase Potential for a Forced STNO Network: an Example of Evoked Memory, published in 2020 in arXiv (Cornell University). This paper is associated with themes in cognitive neuroscience, artificial intelligence, and electrical and electronic engineering.

  • Neural dynamics and brain function
  • Neural Networks and Reservoir Computing
  • Advanced Memory and Neural Computing

  • Neuroscience
  • Computer Science
  • Engineering

  • Cognitive Neuroscience
  • Artificial Intelligence
  • Electrical and Electronic Engineering

  • A Frequency-Phase Potential for a Forced STNO Network: an Example of Evoked Memory (2020), arXiv (Cornell University)

  • arXiv (Cornell University)

  • Fellow of the American Association for the Advancement of Science (AAAS), 2002

Best Publications

  • Weakly connected neural networks

    Frank C. Hoppensteadt;Eugene M. Izhikevich

  • Heterogeneity in Oscillator Networks: Are Smaller Worlds Easier to Synchronize?

    Takashi Nishikawa;Adilson E. Motter;Ying Cheng Lai;Frank C. Hoppensteadt

  • Singular perturbations on the infinite interval

    Frank Charles Hoppensteadt

  • INTEGRATE-AND-FIRE MODELS OF NERVE MEMBRANE RESPONSE TO OSCILLATORY INPUT.

    J. P. Keener;F. C. Hoppensteadt;J. Rinzel

  • Properties of solutions of ordinary differential equations with small parameters

    Frank Hoppensteadt

  • Oscillatary neurocomputers with dynamic connectivity

    Frank C. Hoppensteadt;Eugene Izhikevich

  • An introduction to the mathematics of neurons : modeling in the frequency domain

    F. C. Hoppensteadt

  • Mathematical methods of population biology

    Frank C. Hoppensteadt

  • An Age Dependent Epidemic Model

    Frank Hoppensteadt

  • Synchronization of MEMS resonators and mechanical neurocomputing

    F.C. Hoppensteadt;E.M. Izhikevich

  • Dynamics of the Josephson junction

    M. Levi;F. C. Hoppensteadt;W. L. Miranker

  • Analysis and simulation of chaotic systems

    Frank C. Hoppensteadt

  • Thalamo-cortical interactions modeled by weakly connected oscillators: could the brain use FM radio principles?

    Frank C. Hoppensteadt;Eugene M. Izhikevich

  • An introduction to the mathematics of neurons

    F. C. Hoppensteadt

  • Random Perturbation Methods with Applications in Science and Engineering

    Anatoli V. Skorokhod;Frank C. Hoppensteadt;Habib Salehi

  • Asymptotic stability in singular perturbation problems. II: Problems having matched asymptotic expansion solutions☆

    Frank Hoppensteadt

  • Frequency Entrainment of a Forced van der Pol Oscillator

    Joseph E Flaherty;Joseph E Flaherty;F C Hoppensteadt;F C Hoppensteadt;F C Hoppensteadt

  • CLASSIFICATION OF BURSTING MAPPINGS

    Eugene M. Izhikevich;Eugene M. Izhikevich;Frank C. Hoppensteadt;Frank C. Hoppensteadt

  • Modeling and Simulation in Medicine and the Life Sciences

    Hoppensteadt;Charles S Peskin

  • Mathematics in Medicine and the Life Sciences

    Hoppensteadt;Charles S Peskin

Frequent Co-Authors

Eugene M. Izhikevich
Eugene M. Izhikevich Neurosciences Institute
Charles S. Peskin
Charles S. Peskin Courant Institute of Mathematical Sciences
Ying-Cheng Lai
Ying-Cheng Lai Arizona State University
Joseph E. Flaherty
Joseph E. Flaherty Rensselaer Polytechnic Institute
Jiping He
Jiping He Beijing Institute of Technology
Olga I. Vinogradova
Olga I. Vinogradova Lomonosov Moscow State University
James P. Keener
James P. Keener University of Utah
Guy L. Bush
Guy L. Bush Michigan State University
John Rinzel
John Rinzel New York University
Richard P. Novick
Richard P. Novick New York University

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