保存系

Multi tool use
力学系が保存系であるとは、保存量(または、第一積分)が存在することを意味している。
保存量
保存量とは、相空間上の実数値関数 V で、
dVdt=0{displaystyle {frac {dV}{dt}}=0}
を満たすものである。ただし、 V は相空間上の定数関数ではないとする。
例
自然科学では、様々なところで保存則が成り立つ系が登場する。
例として、力学的エネルギー保存の法則が成り立っている系は、力学的エネルギーは保存量であるので保存系である。
関連項目
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この項目は、数学に関連した書きかけの項目です。この項目を加筆・訂正などしてくださる協力者を求めています(プロジェクト:数学/Portal:数学)。 |
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