---
slug: "Attractor"
name: "Attractor"
type: "Primitives"
layer: "Physics"
ref: "Attractor#0036"
sema_id: "sema:Attractor#mh:SHA-256:0036dca019fa8b7f87cc5982f7ad0267561a99daf3f1c489963c27854f1475a6"
tags: ["Physics","Primitives"]
updated: 2026-11-11
mindscape: "bootstrap"
index_url: https://mindscape.pages.dev/bootstrap/index.json
url: https://mindscape.pages.dev/bootstrap/Attractor/
related: ["Equilibrium"]
---

# Attractor

A state-space region dynamics pull toward — fixed points, limit cycles, or chaotic attractors

Layer: Physics · Category: Primitives

## Mechanism

A region of a dynamical system's state space that trajectories converge toward from a surrounding basin of initial conditions. Once a trajectory enters the basin of attraction, the system's dynamics pull it toward the attractor and confine it thereafter (absent external perturbation). Attractors may be point-like (fixed points — a stable [Equilibrium](https://mindscape.pages.dev/bootstrap/Equilibrium.md)), periodic (limit cycles), or strange (chaotic — bounded but non-repeating). Substrate property: every dissipative dynamical system has attractors; the structure of attractors and their basins is what the system's dynamics is. Downstream patterns use attractor-and-basin reasoning to predict where coordination processes will settle and which initial conditions route to which outcome.

## Invariants

- Convergence: trajectories starting in the basin of attraction approach the attractor in the limit.
- Confinement: trajectories that enter the attractor remain within it absent external perturbation.
- Basin: each attractor has an associated basin of attraction; disjoint attractors partition the set of initial conditions whose trajectories converge.

## Failure modes

—

## Builds on

- [Equilibrium](https://mindscape.pages.dev/bootstrap/Equilibrium.md) (Physics; References)

## Used by

—

## Identity

- Sema ID: `sema:Attractor#mh:SHA-256:0036dca019fa8b7f87cc5982f7ad0267561a99daf3f1c489963c27854f1475a6`
- Ref: `Attractor#0036`
- Supersedes:
  - `sema:Attractor#mh:SHA-256:8c2d9daace2e9ba3e4b061e43c7ac213c185639763e7b36d53bfca4cdc97a0ea`

## Links

- [Pattern page](https://mindscape.pages.dev/bootstrap/Attractor/)
- [View in the interactive graph](https://mindscape.pages.dev/bootstrap/#Attractor)
- [JSON](https://mindscape.pages.dev/bootstrap/Attractor.json)
- [Index of all patterns](https://mindscape.pages.dev/bootstrap/index.json)