  We obtain a \textit{novel} model of oscillating non-singular cosmology on the
spatially flat Randall-Sundrum (RS) II brane. At early times, the universe is
dominated by a scalar field with an inflationary emergent potential
$V(\phi)=A(e^{B\phi}-1)^2$, $A$ and $B$ being constants. Interestingly, we find
that such a scalar field can source a non-singular bounce, replacing the big
bang on the brane. The turnaround again happens naturally on the brane
dominated by a phantom dark energy (favoured by observations\cite{E1,E2,E3} at
late times), thus avoiding the big rip singularity and leading upto the
following non-singular bounce via a contraction phase. There is a smooth
non-singular transition of the brane universe through both the bounce and
turnaround, leading to alternate expanding and contracting phases. This is the
\textit{first} model where a single braneworld of positive tension can be made
to recycle as discussed in details in the concluding section.

General Relativity and Quantum Cosmology