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 language||English (US)|
|Number of pages||10|
|Journal||Applied Mathematics and Computation|
|State||Published - Jul 1995|
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics