A universal second-order reduction maps delayed Kuramoto-Daido networks to inertia-equipped rotator networks with triadic interactions, accurately predicting splay, cyclops, and chimera states across topologies and heterogeneities.
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In spiral wave chimera states the incoherent core radius scales linearly with phase lag α near zero while the average positive winding number grows exponentially with α and defect statistics transition from binomial-like to Poisson-like at a critical α*.
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From Delay to Inertia and Triadic Interactions: A Predictive Model for Time-Delayed Oscillator Networks
A universal second-order reduction maps delayed Kuramoto-Daido networks to inertia-equipped rotator networks with triadic interactions, accurately predicting splay, cyclops, and chimera states across topologies and heterogeneities.
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Topological defects in spiral wave chimera states
In spiral wave chimera states the incoherent core radius scales linearly with phase lag α near zero while the average positive winding number grows exponentially with α and defect statistics transition from binomial-like to Poisson-like at a critical α*.