高次相互作用を持つ適応的多層ネットワークにおける爆発的同期移行のラグ媒介制御
Richita Ghosh1, Md Sayeed Anwar2, Manish Dev Shrimali1
1Department of Physics, Central University of Rajasthan, Ajmer 305 817, Rajasthan, India.
Chaos (Woodbury, N.Y.)
|September 5, 2025
まとめ
研究者は 複雑なネットワークにおける爆発的同期を制御するために 段階の遅延を導入しました この方法は突然の移行を効果的に抑制し,現実世界のアプリケーションでは集団ダイナミクスをスムーズで安全にする.
科学分野:
- 複雑なシステムのダイナミクス
- ネットワーク科学
- 非線形ダイナミクス
背景:
- クープリングされた振動器のネットワークにおける高次元の相互作用は,急激な第一次元の移行の一種である爆発的同期につながる可能性があります.
- 理論的には興味深いが,爆発的同期はしばしば望ましくないし,実用的なシステムでは危険である.
研究 の 目的:
- 高度な相互作用を持つ適応的多層ネットワークにおける爆発的同期抑制のための制御メカニズムを調査する.
- 急な移行を緩和するためにフェーズラグの導入の有効性を調査する.
主な方法:
- 高次相互作用を持つ適応的多層ネットワークに相遅れを導入する.
- 調整適応指数と相挫折パラメータ
- 第1次から第2次のダイナミクスへの移行を分析する
主要な成果:
- 段階遅延は,高級相互作用でも爆発的同期を効果的に抑制します.
- 段階の遅延が増加すると ヒステリシスの幅が狭くなり,急激な移行が滑らかで連続したものに変化します.
- マカクの脳ネットワークを含む現実のネットワークでは 制御戦略は堅牢で効果的です
結論:
- フェーズラグは 爆発的同期を抑制する 効果的な制御戦略です
- この研究は,合成および生物学的複雑なシステムにおける 重要な集団的動態の制御の理解を進める.
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