David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 46 (1) (1998)
The numerical study of a glycolytic model formed by a system of three delay differential equations reveals a multiplicity of stable coexisting states: birhythmicity, trirhythmicity, hard excitation and quasiperiodic with chaotic regimes. For different initial functions in the phase space one may observe the coexistence of two different quasiperiodic motions, the existence of a stable steady state with a stable torus, and the existence of a strange attractor with different stable regimes (chaos with torus, chaos with bursting motion, and chaos with different periodic regimes). For a single range of the control parameter values our system may exhibit different bifurcation diagrams: in one case a Feigenbaum route to chaos coexists with a finite number of successive periodic bifurcations, in other conditions it is possible to observe the coexistence of two quasiperiodicity routes to chaos. These studies were obtained both at constant input flux and under forcing conditions.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Robert Batterman (1992). Quantum Chaos and Semiclassical Mechanics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:50 - 65.
Klaus Jürgen Düsberg (1995). Deterministisches Chaos: Einige Wissenschaftstheoretisch Interessante Aspekte. [REVIEW] Journal for General Philosophy of Science 26 (1):11 - 24.
B. Doyon, B. Cessac, M. Quoy & M. Samuelides (1994). On Bifurcations and Chaos in Random Neural Networks. Acta Biotheoretica 42 (2-3).
Michael Strevens (2006). Chaos. In D. M. Borchert (ed.), Encyclopedia of Philosophy, second edition.
S. Doubabi (1998). Study of Oscillations in a Particular Case of Yates-Pardee-Goodwin Metabolic Pathway with Coupling. Acta Biotheoretica 46 (4).
B. Doyon, B. Cessac, M. Quoy & M. Samuelides (1995). Mean-Field Equations, Bifurcation Map and Chaos in Discrete Time, Continuous State, Random Neural Networks. Acta Biotheoretica 43 (1-2).
John A. Winnie (1992). Computable Chaos. Philosophy of Science 59 (2):263-275.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Recent downloads (6 months)0
How can I increase my downloads?