Title: Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials
Author(s):

	S. Mongkolsakulvong (Faculty of Science, Department of Physics, Kasetsart University, Bangkok 10900, Thailand) ,
	T.D. Frank (CESPA, Department of Psychology, University of Connecticut, 406 Babbidge Road, Storrs, CT 06269, USA; Department of Physics, University of Connecticut, 2152 Hillside Road, Storrs, CT 06269, USA)

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.

Key words: canonical-dissipative systems, Smorodinsky-Winternitz potentials, synchronization, anchoring
PACS: 05.45.-a, 05.40.Jc, 87.19.rs

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