適応ルールが異なる多層ネットワークの集合力学
Akash Yadav1, Qazi Saaheelur Rahaman1,2, V K Chandrasekar3
1Indian Institute of Science Education and Research, School of Physics, Thiruvananthapuram 695551, Kerala, India.
Physical review. E
|January 21, 2026
まとめ
適応型結合クラモト振動子の多層ネットワークにおける集合力学を探求した。異なる適応ルールは、単層ネットワークでは見られない豊かな集合状態を生み出す。
科学分野:
- 複雑系;ネットワーク科学;非線形力学
背景:
- 多層ネットワークは、相互接続されたノードの複数の層で構成される。;適応型結合により、ネットワーク構造は時間とともに変化する。;クラモト振動子は、同期現象の研究における標準的なモデルである。
研究 の 目的:
- 層固有の適応ルールを持つ多層ネットワークの集合力学を調査すること。;創発的な集合状態を特定し、特徴づけること。;同期における層間結合の役割を理解すること。
主な方法:
- 多層ネットワーク上の適応型結合クラモト振動子のシミュレーション。;層内および層間秩序パラメータを使用した集合状態の特徴づけ。;集合座標アプローチを使用した臨界結合強度の解析的推定。
主要な成果:
- 多様な集合状態の発見：非コヒーレント、アンチポータル非コヒーレント、アンチポータル・クラスター、アンチポータル・部分コヒーレント、混合、およびアンチポータル状態。;多重化と異なる適応ルールが新しい集合的挙動につながることを実証。;層間周波数同期の解析的予測の検証。
結論:
- 多層ネットワークにおける適応メカニズムの相互作用は、複雑な集合力学を生成する。;多重性は、単層システムの状態を超えた状態を観察するために重要である。;解析的手法は、これらの複雑なシステムにおける同期閾値を正確に予測できる。
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