Mathematical Problems Concerning Rhythmic Processes

Abstract

Two papers were completed during this time, one mathematical and one experimental on forced chains oscillators, motivated by problems concerning the lamprey CPG for undulatory locomotion. Work continued with K. Sivard on interpretation of experiment, and we are preparing a paper on significance of data from split bath experiments. In addition, work was started with Bard Ermentrout on the mathematics of chains of oscillators with coupling topology more complicated then nearest neighbor. This paper deals with patterns that form when long inhibitory connections are added to local excitatory connections. The work was motivated by patterns of movement that emerge in early development of vertebrates.

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1990
Accession Number
ADA234588

Entities

People

  • N. Kopell

Organizations

  • Boston University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Couplings
  • Equations
  • Geometry
  • Ionic Current
  • Lateral Undulation
  • Locomotion
  • Mathematics
  • Nerve Net
  • Neural Networks
  • Oscillators
  • Relaxation Oscillators
  • Schrodinger Equation
  • Simulations
  • Spinal Cord
  • Topology
  • Wave Equations

Fields of Study

  • Biology

Readers

  • Mathematical Modeling and Probability Theory.
  • Neural Network Machine Learning.
  • Neuroscience