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FEEDBACK LOOPS, STABILITY AND MULTISTATIONARITY IN DYNAMICAL SYSTEMS

E. Plahte, Thomas Mestl, S. Omholt

1995.6.1JOURNAL OF BIOLOGICAL SYSTEMS

DOI: 10.1142/s0218339095000381

Abstract

By fairly simple considerations of stability and multistationarity in nonlinear systems of first order differential equations it is shown that under quite mild restrictions a negative feedback loop is a necessary condition for stability, and that a positive feedback loop is a necessary condition for multistationarity.

Citation format

PLAHTE, E.; MESTL, Thomas; OMHOLT, S. FEEDBACK LOOPS, STABILITY AND MULTISTATIONARITY IN DYNAMICAL SYSTEMS. JOURNAL OF BIOLOGICAL SYSTEMS, 1995, 03: 409–413.