  Two non-harmonic canonical-dissipative limit cycle oscillators are considered
that oscillate in one-dimensional Smorodinsky-Winternitz potentials. It is
shown that the standard approach of the canonical-dissipative framework to
introduce dissipative forces leads naturally to a coupling force between the
oscillators that establishes synchronization. The non-harmonic character of the
limit cycles in the context of anchoring, the phase difference between the
synchronized oscillators, and the degree of synchronization are studied in
detail.
