Limit-cycle oscillations and chaos in reaction networks subject to conservation of mass. | Zendy

Enrico Di | Zendy; Paul E. Phillipson | Zendy; Jeffries Wyman | Zendy

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Limit-cycle oscillations and chaos in reaction networks subject to conservation of mass.

Author(s) -

Enrico Di,

Paul E. Phillipson,

Jeffries Wyman

Publication year - 1989

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.86.1.142

Subject(s) - limit cycle , cascade , autocatalysis , limit (mathematics) , physics , multiplicity (mathematics) , conservation of mass , period doubling bifurcation , chaos (operating system) , statistical physics , chemical physics , chemistry , mathematics , classical mechanics , thermodynamics , bifurcation , computer science , mathematical analysis , kinetics , quantum mechanics , nonlinear system , computer security , chromatography

A cyclic network of autocatalytic reactions involving an unbuffered cofactor and a number of components subject to conservation of mass displays a surprising richness of dynamical behaviors. Limit-cycle oscillations are possible over a wide range of parameter values. Additionally, a cascade of period-doubling bifurcations leading to chaos can coexist with a multiplicity of stable steady states. These results draw attention to the role of unbuffering as a feedback in biochemical systems.

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