162 research outputs found
Clifford Algebras, Dynamical Systems and Periodic Orbits
Certain differential systems can be lifted to algebras (of matrices) which greatly simplifies the use of global linearization for nonlinear dynamical systems. Here we shall use Clifford algebras to obtain an interesting collection of systems which exhibit a wide variety of behaviour. In particular, we shall use global linearization to show that Lyapunov stability for linear systems can be directly extended to this situation and that periodic orbits can be explicitly calculated
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