Movie 1		Dynamics of the y-component of the polarisation corresponding to an isotropic droplet in a contractile gel, with normal anchoring of the polarisation field at the droplet surface. The activity is \zeta=−0.0001, other parameters as in Fig.4



Movie 2		Chaotic dynamics of the y-component of the polarisation corresponding to an isotropic droplet in a contractile gel, with normal anchoring of the polarisation field at the droplet surface. The activity is \zeta=−0.001. Other parameters:  a=0.04 ,  k=0.06 ,  \Gamma=1 ,  \phi_0=2 ,  \phi_{cr} = 1 ,  \alpha=0.1 ,  \eta=1 



Movie 3		 Dynamics of the y-component of the polarisation corresponding to an isotropic droplet in an extensile gel, with normal anchoring of the polarisation field at the droplet surface. The activity is \zeta=0.00001, other parameters as in Fig.5



Movie 4		 Dynamics of the y-component of the polarisation corresponding to an isotropic droplet in an extensile gel, with tangential anchoring of the polarisation field at the droplet surface. The activity is \zeta=0.0001, other parameters as in Fig.8



Movie 5 	Chaotic dynamics of the y-component of the polarisation corresponding to an isotropic droplet in a contractile gel, with tangential anchoring of the polarisation field at the droplet surface. The activity is \zeta=−0.001. Other parameters:  a=0.04 ,  k=0.06 ,  \Gamma=1 ,  \phi_0=2 ,  \phi_{cr} = 1 ,  \alpha=0.1 ,  \eta=1