Bifurcation of the exponentially self-regulating population model

Chuandong Li; Xiaofeng Liao; Kwok-Wo Wong

doi:10.1016/S0960-0779(03)00407-7

Bifurcation of the exponentially self-regulating population model

Chuandong Li
, Xiaofeng Liao
, Kwok-Wo Wong

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

Abstract

The existence of the bifurcation and chaos is proved for the exponentially self-regulating population model. The conditions that the parameter must satisfy are also presented. It is shown that the equation enters the chaotic regime when the parameter exceeds a threshold. Finally, we calculate the values of the parameter corresponding to the superstable kneading sequences. © 2003 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	479-487
Journal	Chaos, Solitons and Fractals
Volume	20
Issue number	3
DOIs	https://doi.org/10.1016/S0960-0779(03)00407-7
Publication status	Published - May 2004

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title = "Bifurcation of the exponentially self-regulating population model",

abstract = "The existence of the bifurcation and chaos is proved for the exponentially self-regulating population model. The conditions that the parameter must satisfy are also presented. It is shown that the equation enters the chaotic regime when the parameter exceeds a threshold. Finally, we calculate the values of the parameter corresponding to the superstable kneading sequences. {\textcopyright} 2003 Elsevier Ltd. All rights reserved.",

author = "Chuandong Li and Xiaofeng Liao and Kwok-Wo Wong",

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TY - JOUR

T1 - Bifurcation of the exponentially self-regulating population model

AU - Li, Chuandong

AU - Liao, Xiaofeng

AU - Wong, Kwok-Wo

PY - 2004/5

Y1 - 2004/5

N2 - The existence of the bifurcation and chaos is proved for the exponentially self-regulating population model. The conditions that the parameter must satisfy are also presented. It is shown that the equation enters the chaotic regime when the parameter exceeds a threshold. Finally, we calculate the values of the parameter corresponding to the superstable kneading sequences. © 2003 Elsevier Ltd. All rights reserved.

AB - The existence of the bifurcation and chaos is proved for the exponentially self-regulating population model. The conditions that the parameter must satisfy are also presented. It is shown that the equation enters the chaotic regime when the parameter exceeds a threshold. Finally, we calculate the values of the parameter corresponding to the superstable kneading sequences. © 2003 Elsevier Ltd. All rights reserved.

UR - https://www.scopus.com/pages/publications/0242270963

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0242270963&origin=recordpage

U2 - 10.1016/S0960-0779(03)00407-7

DO - 10.1016/S0960-0779(03)00407-7

M3 - RGC 21 - Publication in refereed journal

SN - 0960-0779

VL - 20

SP - 479

EP - 487

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 3

ER -

Bifurcation of the exponentially self-regulating population model

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