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The magnetic phase diagram of the chiral magnet Cu$_2$OSeO$_3$ has beeninvestigated by dc magnetisation and ac susceptibility over a very largefrequency range from 0.1 Hz up to 1 kHz and temperatures below 50 K.Qualitatively different phase diagrams have been obtained by applying themagnetic field along the easy $\langle100\rangle$ or the hard$\langle110\rangle$ crystallographic directions. Strong $\chi"$ appears closeto $B_{c2}$, but only below 30 K and is more pronounced when $B$ is appliedalong $\langle100\rangle$. In addition, the transition from the helical to theconical phase leads to two adjacent $B_{c1}$ lines below 50 K. The frequencydependence of $\chi"$ indicates the existence of very broad distributions ofrelaxation times both at $B_{c1}$ and $B_{c2}$. The associated very longcharacteristic times eventually prevent the system from reaching thermalequilibrium at low temperatures and lead to thermal hysteresis.

Dissipation phenomena and magnetic phase diagram of Cu$_2$OSeO$_3$ below 50 K