GHOSTS IN THE ORIGINS OF LIFE?-Reference-Cited by-同舟云学术

GHOSTS IN THE ORIGINS OF LIFE?

Published:2006-09 Issue:09 Volume:16 Page:2761-2765
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

SARDANYÉS JOSEP¹,SOLÉ RICARD V.¹²

Affiliation:

1. Complex Systems Lab (ICREA-UPF), Barcelona Biomedical Research Park (PRBB-GRIB), Dr. Aiguader 88, 08003 Barcelona, Spain

2. Santa Fe Institute, 1399 Hyde Park Road, Santa Fe NM 87501, USA

Abstract

The so-called bottleneck or ghost can appear after a saddle-node bifurcation, leaving a region in phase space by which the flow is attracted although no fixed points are present. Such ghosts, displayed by some dynamical systems, actually cause a delay of the flow. In this paper, we analyze a saddle-node ghost found in a biological model for the two-member hypercycle dynamics. The model predicts a scaling law of the dynamic delay caused by the ghost near the threshold: τ ~ ϕ-1/2, consistent with previous results in physical systems. Possible biological meanings for such a dynamical phenomenon are outlined.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127406016446

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