What is a repeller in dynamical systems?

A repeller is an invariant set in a phase space that repels nearby trajectories, serving as a fundamental concept for understanding unstable equilibria and qualitative flows.

What is a non-backtracking geodesic qualification?

It is a condition ensuring that state invocation chains do not revisit previous states, utilizing Möbius filters and Ramanujan bounds for efficient expansion.

How does this skill use AlgebraicDynamics.jl?

It leverages AlgebraicDynamics.jl patterns to implement repellers as compositional dynamical systems, specifically using resource-sharing machine structures.

What does the Trit -1 (MINUS) signify?

In the context of this skill's GF(3) integration, the -1 trit represents a specific state in a triadic composition that must be conserved across skill triplets.

Repeller Dynamical Systems

Name: Repeller Dynamical Systems
Author: plurigrid

byplurigrid

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数据科学与机器学习

Models and analyzes invariant sets that repel nearby trajectories within complex dynamical systems and topological manifolds.

The Repeller skill enables Claude to perform advanced modeling and analysis of dynamical systems where specific invariant sets push nearby trajectories away. Grounded in Dynamical Systems Theory and Algebraic Dynamics, it provides tools for analyzing local behavior near equilibria, global limit sets, and parameter-dependent bifurcations. This skill is particularly useful for researchers and developers working with topological computing, Julia-based AlgebraicDynamics.jl implementations, and GF(3) triadic logic frameworks, where maintaining conserved system states and non-backtracking geodesic paths is critical.

主要功能

01Qualitative bifurcation tracking for parameter-dependent changes

022 GitHub stars

03GF(3) triadic logic support for conserved system states

04Analysis of local behavior near equilibria and invariant sets

05Non-backtracking geodesic qualification for complex pathing

06Compositional modeling via AlgebraicDynamics.jl integration

使用场景

01Analyzing long-term qualitative dynamics in high-dimensional phase spaces

02Simulating unstable equilibria in physical and chemical dynamical systems

03Designing state-space trajectories for topological computing architectures

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi repeller

For use in Claude.ai and ChatGPT

Download Skill