3. Excitable Media I: Continuum Systems

  1. Luis L. Bonilla1 and
  2. Stephen W. Teitsworth2

Published Online: 20 SEP 2010

DOI: 10.1002/9783527628674.ch3

Nonlinear Wave Methods for Charge Transport

Nonlinear Wave Methods for Charge Transport

How to Cite

Bonilla, L. L. and Teitsworth, S. W. (2010) Excitable Media I: Continuum Systems, in Nonlinear Wave Methods for Charge Transport, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527628674.ch3

Author Information

  1. 1

    Gregorio Millan, Institute of Fluid Dynamics, Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid, Leganes, Spain

  2. 2

    Department of Physics, Duke University, Durham, USA

Publication History

  1. Published Online: 20 SEP 2010
  2. Published Print: 13 JAN 2010

ISBN Information

Print ISBN: 9783527406951

Online ISBN: 9783527628674

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Keywords:

  • Excitable media;
  • FitzHugh–Nagumo system;
  • Matched assymptotics;
  • Scalar bistable system;
  • Linear stability;
  • Traveling waves;
  • Wave trains

Summary

This chapter contains sections titled:

  • Introduction

  • Basic Excitability – the FitzHugh–Nagumo System

  • Matched Asymptotics: Excitability and Oscillations

  • The Scalar Bistable Equation; Wave Pulses as Heteroclinic Connections

  • Traveling Waves of the FitzHugh–Nagumo System

  • References