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Dynamics and Stability of Systems Volume 10, 1995 - Issue 2
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Original Articles

Chaos, coexistence of attractors and fractal basin boundaries of attraction in a model system coupling activation and inhibition in parallel

Junli Liu Center for Nonlinear Systems in Biology, Scottish Crop Research Institute, Invergowrie, Dundee, DD2 5DA, UK
,
John Crawford Center for Nonlinear Systems in Biology, Scottish Crop Research Institute, Invergowrie, Dundee, DD2 5DA, UK
&
Roberto Viola Center for Nonlinear Systems in Biology, Scottish Crop Research Institute, Invergowrie, Dundee, DD2 5DA, UK
Pages 111-124 | Published online: 21 Mar 2007

Citations (8)

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Read on this site (1)

Junli Liu, John W. Crawford & Roberto Viola. (1996) The consequences of interactive noise for understanding the dynamics of complex biochemical systems. Dynamics and Stability of Systems 11:2, pages 135-148.
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Articles from other publishers (7)

Weisheng Huang, Yuhong Zhang & Xiao-Song Yang. (2023) Complicated Boundaries of the Attraction Basin in a Class of Three-Dimensional Polynomial Systems. International Journal of Bifurcation and Chaos 32:16.
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F.N.M. Al-Showaikh. (2006) Numerical solution of an autocatalytic bio-chemical system. Applied Mathematics and Computation 176:1, pages 177-193.
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Junli Liu, John W Crawford & Konstantinos I Leontiou. (2005) Collapse of single stable states via a fractal attraction basin: analysis of a representative metabolic network. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461:2060, pages 2327-2338.
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Junli Liu. (2002) State selection in coupled identical biochemical systems with coexisting stable states. Biosystems 65:1, pages 49-60.
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JUNLI LIU. (2011) SUFFICIENT CONDITIONS FOR COORDINATION OF A FORCED BIOCHEMICAL SYSTEM WITH THE INTERPLAY OF ACTIVATION AND INHIBITION. Journal of Biological Systems 08:03, pages 237-253.
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Junli Liu & John W. Crawford. (1997) Transitions and new dynamical states induced by noise in a multiply regulated biochemical system. Biophysical Chemistry 69:2-3, pages 97-106.
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Junli Liu & John W. Crawford. (1997) Stability of an autocatalytic system under noise perturbations and its dependence on the basin of attraction. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 453:1961, pages 1195-1203.
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