ix-chaos
OfficialAnalyze chaotic behavior in dynamical systems.
Data & Analytics#dynamical systems#chaos theory#Lyapunov exponents#bifurcation diagrams#strange attractors#fractal dimensions#delay embedding
AuthorGuitarAlchemist
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This Skill enables the analysis of chaotic behavior in dynamical systems, helping users understand complex system dynamics.
Core Features & Use Cases
- Lyapunov Exponents: Determines the stability of a system, distinguishing between chaotic, periodic, and stable behaviors.
- Bifurcation Diagrams: Visualizes how system behavior changes with varying parameters.
- Strange Attractors: Identifies and integrates common strange attractors like Lorenz, Rössler, and Chen systems.
- Fractal Dimensions: Estimates the fractal dimension of a system, providing insights into its complexity.
- Delay Embedding: Reconstructs attractors from scalar time series data.
- Poincaré Sections: Simplifies continuous dynamics to discrete maps for analysis.
- Chaos Control: Applies methods like the OGY method and Pyragas time-delay feedback for controlling chaotic systems.
- Use Case: Analyze weather patterns or financial markets for chaotic behavior, predicting and controlling outcomes.
Quick Start
Analyze the chaos in the logistic map x_{n+1} = r * x_n * (1 - x_n) by providing the parameter 'r' and time series data.
Dependency Matrix
Required Modules
None requiredComponents
scriptsreferences
💻 Claude Code Installation
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Please help me install this Skill: Name: ix-chaos Download link: https://github.com/GuitarAlchemist/ix/archive/main.zip#ix-chaos Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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