Period-Doubling Bifurcation and Chaotic Phenomena in a Single Degree of Freedom Elastic System With A Two-State Variable Friction Law

  1. William I. Newman,
  2. Andrei Gabrielov and
  3. Donald L. Turcotte
  1. Niu Zhiren and
  2. Chen Dangmin

Published Online: 21 MAR 2013

DOI: 10.1029/GM083p0075

Nonlinear Dynamics and Predictability of Geophysical Phenomena

Nonlinear Dynamics and Predictability of Geophysical Phenomena

How to Cite

Zhiren, N. and Dangmin, C. (1994) Period-Doubling Bifurcation and Chaotic Phenomena in a Single Degree of Freedom Elastic System With A Two-State Variable Friction Law, in Nonlinear Dynamics and Predictability of Geophysical Phenomena (eds W. I. Newman, A. Gabrielov and D. L. Turcotte), American Geophysical Union, Washington, D. C.. doi: 10.1029/GM083p0075

Author Information

  1. Seismological Bureau of Shaanxi Province, Xi'An, China

Publication History

  1. Published Online: 21 MAR 2013
  2. Published Print: 1 JAN 1994

ISBN Information

Print ISBN: 9780875904696

Online ISBN: 9781118670019

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Keywords:

  • Geodynamics;
  • Chaotic behavior in systems;
  • Nonlinear theories

Summary

This chapter contains sections titled:

  • Introduction

  • Single Degree of Freedom Friction Elastic System With two State Variable Friction Law

  • Period-Doubling Bifurcations Leading to Chaos

  • Conclusions