dynamical-systems

Analyze nonlinear dynamical systems — phase portraits, fixed points, stability analysis, bifurcation diagrams, Poincare sections, Lyapunov exponents, and chaos detection. Use for any autonomous or non-autonomous ODE system where qualitative behavior matters.

Quality

84%

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Quality

Content

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Reviews the quality of instructions and guidance provided to agents. Good implementation is clear, handles edge cases, and produces reliable results.

A highly actionable, well-structured skill with executable examples across the domain. Main gaps are missing validation checkpoints in batch workflows and some inline plotting boilerplate that could be trimmed or externalized.

Suggestions

Add explicit validation checkpoints to batch workflows (e.g., after Lyapunov integration, verify convergence by checking the running exponent has stabilized before reporting).

Trim plotting cosmetics (figsize, fontsize, dpi, grid styling) from code examples to reduce token overhead and keep focus on the analytical logic.

Consider moving the fixed-point classification and bifurcation-type reference tables into a separate reference file to shorten the main SKILL.md body.

Dimension	Reasoning	Score
Conciseness	Mostly lean with minimal conceptual over-explanation and compact reference tables, but code examples carry plotting cosmetics (figsize, fontsize, dpi, savefig) that are not core to the analysis and could be trimmed.	4 / 5
Actionability	Five fully executable, copy-paste-ready code examples covering phase portraits, fixed points, bifurcations, Lyapunov exponents, and Poincare sections, each self-contained and runnable.	5 / 5
Workflow Clarity	Each workflow is a clear standalone recipe, but batch numerical procedures (bifurcation sweeps, Lyapunov integration) lack explicit in-workflow validation checkpoints; convergence verification appears only in the troubleshooting table rather than as a step.	3 / 5
Progressive Disclosure	Well-organized into clear sections (Overview, When to Use, Core Workflows, reference tables, Troubleshooting) with no nested references, though at ~314 lines some examples or reference tables could be split into bundle files.	4 / 5
	Total	16 / 20 Passed

Description

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Based on the skill's description, can an agent find and select it at the right time? Clear, specific descriptions lead to better discovery.

A strong, specific description that clearly articulates capabilities and triggers with comprehensive coverage. Minor improvement possible by adding synonym phrasings for less technical users.

Dimension	Reasoning	Score
Specificity	Lists seven concrete analytical actions — 'phase portraits, fixed points, stability analysis, bifurcation diagrams, Poincare sections, Lyapunov exponents, and chaos detection' — giving comprehensive coverage of the domain's capabilities.	5 / 5
Completeness	Explicitly states both what it does ('Analyze nonlinear dynamical systems — ...') and when to use it ('Use for any autonomous or non-autonomous ODE system where qualitative behavior matters') with concrete trigger phrasing.	5 / 5
Trigger Term Quality	Strong domain keywords ('ODE system', 'phase portraits', 'bifurcation', 'Lyapunov', 'chaos') match what a user would say, but lacks synonym variation and alternate phrasings a less technical user might use.	4 / 5
Distinctiveness Conflict Risk	Occupies a clear niche (nonlinear dynamical systems / qualitative ODE analysis) with distinct, specialized triggers unlikely to collide with other skills.	5 / 5
	Total	19 / 20 Passed

Validation

93%

Warnings & errors only

Checks the skill against the spec for correct structure and formatting. All validation checks must pass before discovery and implementation can be scored.

Validation — 15 / 16 Passed

Validation for skill structure

Criteria	Description	Result
frontmatter_unknown_keys	Unknown frontmatter key(s) found; consider removing or moving to metadata	Warning

	Total	15 / 16 Passed

Repository: synthetic-sciences/openscience
Path: backend/cli/skills/physics/dynamical-systems/SKILL.md
Commit: 7dabbf0

Reviewed: 3 days ago

Table of Contents

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