Normal form transforms separate slow and fast modes in stochastic dynamical systems

THE NON-LINEAR SLOW NORMAL MODE AND STOC

THE NON-LINEAR SLOW NORMAL MODE AND STOCHASTICITY IN THE DYNAMICS OF A CONSERVATIVE FLEXIBLE ROD/PENDULUM CONFIGURATION

✍ I.T. Georgiou; I.B. Schwartz 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 302 KB

The geometric structure has been analyzed of the slow periodic motions of a conservative structural/mechanical system consisting of a stiff linear elastic rod coupled to a non-linear pendulum oscillator. Using the theory of geometric singular perturbations, we have computed analytically a two-dimens