REVERSIBLE DYNAMICAL-SYSTEMS - DISSIPATION-INDUCED DESTABILIZATION AND FOLLOWER FORCES

Authors
OREILLY OM MALHOTRA NK NAMACHCHIVAYA NS
Citation
Om. Oreilly et al., REVERSIBLE DYNAMICAL-SYSTEMS - DISSIPATION-INDUCED DESTABILIZATION AND FOLLOWER FORCES, Applied mathematics and computation, 70(2-3), 1995, pp. 273-282
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
70
Issue
2-3
Year of publication
1995
Pages
273 - 282
Database
ISI
SICI code
0096-3003(1995)70:2-3<273:RD-DDA>2.0.ZU;2-0
Abstract
This paper uses results from the theory of reversible dynamical system s to examine the nonlinear stability of undamped follower force system s. The well-known dissipation-induced destabilization found in these s ystems is also examined and it is indicated how the postdestabilizatio n dynamics can be determined using normal forms and an eigenvalue spli tting criterion.