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アーノルドの舌は,メムリストル回路の周期倍加カスケードに取って代わります
Silvio L T de Souza1,2, Antonio M Batista3,4, Iberê L Caldas2
1Federal University of São João del-Rei, Campus Centro-Oeste, 35501-296 Divinópolis, MG, Brazil.
Chaos (Woodbury, N.Y.)
|September 4, 2025
まとめ
この研究は,混沌としたメミストールの回路を調査し,調和の乱れが周期的な形ドメインをアーノルドの舌に変換し,混沌としたシステムに新しい境界を作り出すことを明らかにします.
科学分野:
- 非線形動力学
- カオス理論
- 電子回路
背景:
- メムリストは1971年に理論化され,電荷と磁気流を結びつけています.
- メムリスティブ回路は非線形特性を示し,混沌としたアトラクターと周期性をもたらす.
- メムリストアを備えた混沌とした回路であるMuthuswamy-Chuaシステムは,2Dパラメータ空間で周期的なエビ形のドメインを示しています.
研究 の 目的:
- ムトゥスワミ・チュアの混沌回路に対する弱相波の影響を調査する.
- 混乱状態にある周期的構造と準周期的構造の出現と変容を分析する.
- アーノルド言語の形成とパラメータ空間における境界線としての役割について説明する.
主な方法:
- Muthuswamy-Chuaシステムをシミュレートしました 混乱しない状態と混乱した状態で
- サーキットパラメータに弱いハルモニック波動を適用した.
- パラメータ空間を分析して 周期的なウィンドウ,混沌とした領域,アーノルドの言語を特定した.
- アノルドの舌の変形を観察した
主要な成果:
- ハーモニックの乱れは 準周期性を誘発し 周期性を置き換えました
- 準周期と混沌の領域の境界線として形成された.
- 準周期的な形ドメインが アーノルドの舌に変形した
- アーノルドの舌は,以前は周期倍増のカスケードを示した地域で出現した.
結論:
- ムトゥスワミ・チュアの回路の動態を大きく変えてしまう.
- アーノルドの言語は 異なるダイナミック・レジームを区分する上で 決定的な役割を果たします
- この研究は,混乱した領域構造の変形のような新しい現象を明らかにしています.
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