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Chaos and Nonlinear Dynamics$
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Robert C. Hilborn

Print publication date: 2000

Print ISBN-13: 9780198507239

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198507239.001.0001

Intermittency and Crises

Chapter:
(p. 250 ) 7 Intermittency and Crises
Source:
Chaos and Nonlinear Dynamics
Author(s):

Robert C. Hilborn

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198507239.003.0007

This chapter explores the transition from periodic behaviour to chaotic behaviour via intermittency when a system exhibits a mix of what appears to be regular behaviour and chaotic behaviour. State space descriptions provide an explanation of the origin of intermittency. Four different types of intermittency are introduced and several experimental observations of intermittency are described. A crisis bifurcation of chaotic system occurs when a strange attractor (in state space) suddenly changes in size or suddenly disappears. A state space explanation of a crisis is introduced and used to understand an experimental observation of this event.

Keywords:   intermittency, crisis, bifurcation, periodic behaviour, chaotic behaviour, state space explanation

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