Reversible dynamical systems: Dissipation-induced destabilization and follower forces

Oliver M. O'Reilly, Naresh K. Malhotra, N. Sri Namachchivaya

Research output: Contribution to journalArticlepeer-review

Abstract

This paper uses results from the theory of reversible dynamical systems to examine the nonlinear stability of undamped follower force systems. The well-known dissipation-induced destabilization found in these systems is also examined and it is indicated how the postdestabilization dynamics can be determined using normal forms and an eigenvalue splitting criterion.

Original languageEnglish (US)
Pages (from-to)273-282
Number of pages10
JournalApplied Mathematics and Computation
Volume70
Issue number2-3
DOIs
StatePublished - Jul 1995

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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