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      Chaos in two-loop negative feedback systems.

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          Abstract

          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.

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          Author and article information

          Journal
          Phys Rev E Stat Nonlin Soft Matter Phys
          Physical review. E, Statistical, nonlinear, and soft matter physics
          American Physical Society (APS)
          1539-3755
          1539-3755
          May 2002
          : 65
          : 5 Pt 1
          Affiliations
          [1 ] Instituto do Coração, Universidade de São Paulo, Avenida Dr. Eneas de Carvalho Aguiar, 44, 05403-000 São Paulo, São Paulo, Brazil.
          Article
          10.1103/PhysRevE.65.051905
          12059591

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