Chaos in two-loop negative feedback systems

Multiloop delayed negative feedback systems, with each feedback loop having its own characteristic time lag (delay), are used to describe a great variety of systems: optical systems, neural networks, physiological control systems, etc. Previous investigations have shown that if the number of delayed...

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Bibliographic Details
Published in:	Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Vol. 65; no. 5 Pt 1; pp. 051905 - 519058
Main Authors:	Bastos de Figueiredo, J C, Diambra, L, Glass, Leon, Malta, C P
Format:	Journal Article
Language:	English
Published:	United States 01-05-2002
Subjects:	Bifurcation (mathematics) Biophysics - methods Chaos theory Differential equations Feedback Functions Integration Mathematical models Models, Statistical Models, Theoretical Neural networks Nonlinear Dynamics
Online Access:	Get full text
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Summary:	Multiloop delayed negative feedback systems, with each feedback loop having its own characteristic time lag (delay), are used to describe a great variety of systems: optical systems, neural networks, physiological control systems, etc. Previous investigations have shown that if the number of delayed feedback loops is greater than two, the system can exhibit complex dynamics and chaos, but in the case of two delayed loops only periodic solutions were found. Here we show that a period-doubling cascade and chaotic dynamics are also found in systems with two coupled delayed negative feedback loops.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 ObjectType-Article-1 ObjectType-Feature-2
ISSN:	1539-3755 1063-651X 1095-3787
DOI:	10.1103/PhysRevE.65.051905