Emergence of chaotic itinerancy in simple ecological systems

Pan J. Kim, Tae Wook Ko, Hawoong Jeong, Kyoung Jin Lee, Seung Kee Han

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Chaotic itinerancy is a universal dynamical concept that describes itinerant motion among many different ordered states through chaotic transition in dynamical systems. Unlike the expectation of the prevalence of chaotic itinerancy in high-dimensional systems, we identify chaotic itinerant behavior from a relatively simple ecological system, which consists only of two coupled consumer-resource pairs. The system exhibits chaotic bursting activity, in which the explosion and the shrinkage of the population alternate indefinitely, while the explosion of one pair co-occurs with the shrinkage of the other pair. We analyze successfully the bursting activity in the framework of chaotic itinerancy, and find that large duration times of bursts tend to cluster in time, allowing the effective burst prognosis. We also investigate the control schemes on the bursting activity, and demonstrate that invoking the competitive rise of the consumer in one pair can even elongate the burst of the other pair rather than shorten it.

Original languageEnglish
Article number065201
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume76
Issue number6
DOIs
Publication statusPublished - 2007 Dec 14

Fingerprint

ecosystems
bursts
Bursting
shrinkage
Burst
explosions
Shrinkage
prognosis
Explosion
dynamical systems
resources
Prognosis
Chaotic Behavior
Alternate
High-dimensional
Dynamical system
Tend
Resources
Motion
Demonstrate

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Emergence of chaotic itinerancy in simple ecological systems. / Kim, Pan J.; Ko, Tae Wook; Jeong, Hawoong; Lee, Kyoung Jin; Han, Seung Kee.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 76, No. 6, 065201, 14.12.2007.

Research output: Contribution to journalArticle

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