Discrete multivortex solitons
Daniel Leykam, Anton S. Desyatnikov
TL;DR
This paper introduces discrete multivortex solitons in nonlinear oscillator rings, revealing their stability depends on global symmetries and enabling complex vortex behaviors like charge flipping and spiraling.
Contribution
It presents the first analysis of multivortex solitons in discrete systems, highlighting the role of symmetry in their stability and dynamics.
Findings
Stable multivortex solitons exist in discrete oscillator rings.
Global symmetries determine the stability of these solitons.
Complex vortex dynamics such as charge flipping and spiraling are supported.
Abstract
We introduce discrete multivortex solitons in a ring of nonlinear oscillators coupled to a central site. Regular clusters of discrete vortices appear as a result of mode collisions and we show that their stability is determined by global symmetries rather than the stability of constituent vortices. Stable multivortex solitons support complex vortex dynamics including charge flipping and spiraling.
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