High-Mode Coupling Yields Multicoherent-Phase Phenomena in Nonlocally Coupled 
Oscillators

Cai, Zongkai; Liu, Zonghua; Guan, Shuguang; Kurths, Jürgen; Zou, Yong

doi:10.1103/PhysRevLett.133.227201

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High-Mode Coupling Yields Multicoherent-Phase Phenomena in Nonlocally Coupled Oscillators

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Cai, Zongkai
External Organizations;

Liu, Zonghua
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Guan, Shuguang
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/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

Zou, Yong
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Zitation

Cai, Z., Liu, Z., Guan, S., Kurths, J., Zou, Y. (2024): High-Mode Coupling Yields Multicoherent-Phase Phenomena in Nonlocally Coupled Oscillators. - Physical Review Letters, 133, 227201.
https://doi.org/10.1103/PhysRevLett.133.227201

Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_31649

Zusammenfassung

Capturing the intricate dynamics of partially coherent patterns in coupled oscillator systems is vibrant and one of the crucial areas of nonlinear sciences. Considering higher-order Fourier modes in the coupling, we discover a novel type of clustered coherent state in phase models, where inside the coherent region oscillators are further split into q dynamically equivalent subgroups with a 2⁢π/q phase difference between two neighboring subgroups, forming a multicoherent-phase (MUP) chimera state. Both a self-consistency analysis and the Ott-Antonsen dimension reduction techniques are used to theoretically derive these solutions, whose stability are further demonstrated by spectral analysis. The universality of MUP effects is demonstrated by generalized twisted states and higher-order spatial swarm chimera states of swarmalators which are beyond pure phase models since oscillators can move in space.