birkhoff-average
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
- Local behavior: Analysis near equilibria and invariant sets
More from plurigrid/asi
academic-research
Search academic papers across arXiv, PubMed, Semantic Scholar, bioRxiv, medRxiv, Google Scholar, and more. Get BibTeX citations, download PDFs, analyze citation networks. Use for literature reviews, finding papers, and academic research.
59wev-tesseract
WEV Tesseract Skill
33tree-sitter
AST-based code analysis using tree-sitter. Use for parsing code structure, extracting symbols, finding patterns with tree-sitter queries, analyzing complexity, and understanding code architecture. Supports Python, JavaScript, TypeScript, Go, Rust, C, C++, Swift, Java, Kotlin, Julia, and more.
22reverse-engineering
Reverse Engineering Skill
17bdd-mathematical-verification
BDD-Driven Mathematical Content Verification Skill
17alife
Comprehensive Artificial Life skill combining ALIFE2025 proceedings, classic texts (Axelrod, Epstein-Axtell), ALIEN simulation, Lenia, NCA, swarm intelligence, and evolutionary computation. 337 pages extracted, 80+ papers, 153 figures.
16