耦合主动转子系统中的凸起态、嵌合态与图灵斑图
Bumps, chimera states, and Turing patterns in systems of coupled active rotators
AI总结：
该研究聚焦耦合主动转子系统中的凸起态等相干-非相干斑图，揭示其从完全相干图灵斑图经超临界分岔、准周期及混沌行为的演化路径，并用短程激活长程抑制范式解释斑图形成。
摘要：
自组织的相干-非相干斑图被称为嵌合态（chimera states），最早在仓本振荡器（Kuramoto oscillators）系统中被报道。对于耦合可激发单元，相干单元处于静止状态的类似斑图被称为凸起态（bump states）。本文研究了由非局域吸引与全局排斥耦合的主动转子阵列中的凸起态。我们证明了这类凸起态可通过超临界情形从完全相干的图灵斑图（Turing patterns）中产生：单个非相干单元在同宿分岔中出现，随后经由准周期与混沌行为转变，最终演化为含大量非相干单元的广延混沌。我们展示了不同类型的转变过程，并依据短程激活、长程抑制的经典范式解释了相干-非相干斑图的形成机制。
英文摘要：
Self-organized coherence-incoherence patterns, called chimera states, have first been reported in systems of Kuramoto oscillators. For coupled excitable units similar patterns, where coherent units are at rest, are called bump states. Here, we study bumps in an array of active rotators coupled by non-local attraction and global repulsion. We demonstrate how they can emerge in a supercritical scenario from completely coherent Turing patterns: single incoherent units appear in a homoclinic bifurcation with a subsequent transition via quasiperiodic and chaotic behavior, eventually transforming into extensive chaos with many incoherent units. We present different types of transitions and explain the formation of coherence-incoherence patterns according to the classical paradigm of short-range activation and long-range inhibition.
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