Atom numbers; Condensate density; Critical time; Faraday rotation spectroscopy; In-phase; Initial state; Number fluctuations; Phenomenological models; Quantitative measures; Separatrix crossing; Spin population; Spinor condensates; Time evolutions; Crossings (pipe and cable); Electron energy loss spectroscopy; Energy dissipation; Energy dissipators; Magnetic fields; Phase space methods; Plasmas; Population statistics; Sodium; Spin fluctuations