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Multiple Stable States in Natural Ecosystems$
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Peter Petraitis

Print publication date: 2013

Print ISBN-13: 9780199569342

Published to Oxford Scholarship Online: May 2015

DOI: 10.1093/acprof:osobl/9780199569342.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 26 October 2021

Hallmarks of catastrophes

Hallmarks of catastrophes

(p.81) 6 Hallmarks of catastrophes
Multiple Stable States in Natural Ecosystems

Peter Petraitis

Oxford University Press

This chapter discusses the nine hallmarks of the systems of catastrophes. These hallmarks, also known as flags and fingerprints of catastrophes, includes the existence of two or more equilibrium points for a specific set of parameters, existence of an unstable point in between each pair of stable points, discontinuous jumps, hysteresis, critical slowing down, anomalous variance, divergence, one-jump paths, and nonlinear responses. The hallmarks of critical slowing down, anomalous variance and nonlinear responses can also occur in systems with a single stable state; thus, they cannot be accepted as definitive characteristics. The chapter also explains the various time conventions affecting these hallmarks.

Keywords:   hallmarks, catastrophes, hysteresis, critical slowing down, anomalous variance, divergence, one-jump paths, nonlinear responses

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