Geometric transient solutions of autonomous scalar maps

Shandelle M. Henson, J. M. Cushing

Research output: Contribution to journalArticlepeer-review


Smooth autonomous scalar maps with locally asymptotically stable equilibria have families of asymptotically constant solutions which decay geometrically to the equilibria. Locally, all transients converging to the equilibria have this form.

Original languageEnglish (US)
Pages (from-to)61-73
Number of pages13
JournalJournal of Difference Equations and Applications
Issue number1
StatePublished - Jan 2002


  • Bifurcation
  • Difference equations
  • Equilibria
  • Geometric convergence
  • Stability

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics


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