skills/smithery.ai/birkhoff-average

birkhoff-average

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SKILL.md

Birkhoff Average

Trit: 1 (PLUS) Domain: Dynamical Systems Theory Principle: Time average of observable along trajectory

Overview

Birkhoff Average is a fundamental concept in dynamical systems theory, providing tools for understanding the qualitative behavior of differential equations and flows on manifolds.

Mathematical Definition

BIRKHOFF_AVERAGE: Phase space × Time → Phase space

Key Properties

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1
First Seen
Mar 22, 2026
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