Advanced Search

This paper is devoted to the helices processes, i.e. the solutions H : ℝ × Ω → ℝ ^d , (t, ω) ↦ H(t, ω) of the helix equation $\begin{array}{ccc}\mathit{H}\mathrm{\left(}\mathrm{0}\mathit{,\omega }\mathrm{\right)}\mathrm{=}\mathrm{0}\mathrm{;} \mathit{H}\mathrm{(}\mathit{s}\mathrm{+}\mathit{t,\omega }\mathrm{)}\mathrm{=}\mathit{H}\mathrm{\left(}\mathit{s,}\mathrm{\Phi }\mathrm{\right(}\mathit{t,\omega }\mathrm{\left)}\mathrm{\right)}\mathrm{+}\mathit{H}\mathrm{\left(}\mathit{t,\omega }\mathrm{\right)}& & \end{array}$ where Φ : ℝ × Ω → Ω, (t, ω) ↦ Φ(t, ω) is a dynamical system...