Invariant criteria of stability of integral manifolds
Abstract:
While investigation of qualitative behavior of nonlinear ordinary differential
equations, finding the stable integral manifolds is of great practical
importance. Stable limit cycle is an example of such manifolds. In this
work the criterion of stability of integral manifolds is proposed. It is
based on transformation the initial nonlinear system (with a small parameters)
to some invariant differential system (the centralized system).