三体の相互作用は,フェーズオシレータにおける悪魔の階段,マルチスタビリティ,同期復活を明らかにする

Hancheng Li¹, Xuan Wang¹, Jinfeng Liang¹

¹Beijing University of Posts and Telecommunications, School of Physical Science and Technology, Beijing 100876, People's Republic of China.

Physical review. E

|February 20, 2026

まとめ

この研究は,カップリングされた振動器における三体相互作用を探求し,悪魔のような複雑な同期パターンを明らかにします.

科学分野:

複雑なシステム複雑なシステム
非線形ダイナミクス非線形ダイナミクス
統計物理学統計物理

背景:

集団行動は,しばしば対対の相互作用に依存する.
高次の相互作用は,複雑なダイナミクスには極めて重要ですが,理解は少ない.
これらの効果を分離し,研究するために最小限のモデルが必要です.

研究の目的:

純粋な三体相互作用を持つ最小モデルでの同期を調査する.
伝統的なペアウェイズカップリングを超えたダイナミクスを分析する.
集団行動における上位階の相互作用の役割を理解する.

主な方法:

3つの非同一の相振動器の最小モデルを開発しました.
純粋な三体相互作用にのみ焦点を当てた.
回転数,アーノルドの舌,アトラクター盆地の安定性を分析した.

主要な成果:

変異的なFarey配列によって構成された,回転数で完全な悪魔の階段を観察しました.
強力なマルチスタビリティを発見し,同期および他のレジームと共存しました.
アーノルドの舌は非単調な行動を示し,混沌を防ぎました.
シンクロン状態は,弱い結合強度で再現した.

結論:

純粋な三体相互作用は,複雑な同期現象につながります.
システムのダイナミクスは豊富で,対対結合の予測から逸脱する.
様々なシステムにおける同期制御に関する洞察を提供します.

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