Metastability for delayed differential equations.

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics

Instituto de Matemática e Estatística, Universidade de São Paulo, CP 66281, 05315-970 São Paulo, Brazil.

Published: November 1999

AI Article Synopsis

  • In phase transitions, two forms of the same material can exist together for extended periods before one takes over.
  • A comparable situation happens in systems with delayed feedback, where brief, stable oscillations can persist for a long time.
  • Eventually, these oscillations may fade away, leading to more constant or regular states.

Article Abstract

In systems at phase transitions, two phases of the same substance may coexist for a long time before one of them dominates. We show that a similar phenomenon occurs in systems with delayed feedback, where short-term stable oscillatory patterns can also have very long lifetimes before vanishing into constant or periodic steady states.

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http://dx.doi.org/10.1103/physreve.60.6230DOI Listing

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