# Attractor
<!-- MICROSIMGEN:BEGIN v1.7 — generated by g08_place_microsims.py; three.js first (§15); do not hand-edit inside -->
## Microsims — three.js
### Attractor (three.js)
<div class="microsim-player">
<iframe src="https://wikitube-3d-microsims.netlify.app/Attractor.html" width="100%" height="620" frameborder="0" loading="lazy" sandbox="allow-scripts allow-same-origin" title="Attractor — three.js microsim"></iframe>
</div>
**Open it full-screen:** [Attractor.html](https://wikitube-3d-microsims.netlify.app/Attractor.html) · library `threejs` · route `microsim/threejs/`
### Related microsims
Live sims on neighbouring articles — 2 of them inside this article's own Wikipedia link tree:
- [[Bifurcation_theory]] *(in tree)*
- [[Dissipative_system]] *(in tree)*
- [[Catastrophe_theory]]
- [[Hierarchy]]
- [[Scale-free_network]]
- [[Synchronization]]
*Sim hosted off-article; the article owns the reference, not the runtime (WIKI_RULES §10.4). Placed by `g08_place_microsims.py`.*
<!-- MICROSIMGEN:END -->
## MicroSim spec
- **Recommended sim type:** [[Phase_space|phase space]] / attractor
- **Microsimmability score:** 88/100
- **Layout:** drawing region (canvas) on top; control region (sliders/buttons) below.
### Parameters (tunable controls)
- `Parameter a`
- `Damping`
- `Initial condition`
### What animates
Trajectories from many starts spiral toward the same attractor as parameters change.
### Learning objective
Show how many starting states are drawn to the same long-term attractor.
## Links (Wikipedia order)
<!-- injected from _registry/childlinks/Attractor.json (2026-07-30T02:09:12Z) -->
`Aleksandr_Lyapunov` · `Algebra` · `Amie_Wilkinson` · `Anosov_diffeomorphism` · `Apollonian_gasket` · `Arnold's_cat_map` · `Arnold_tongue` · `Assouad_dimension` · `Attractor_(disambiguation)` · `Attractor_network` · `Audrey_Terras` · `Axiom_A` · `Baker's_map` · `Barnsley_fern` · `Benoit_Mandelbrot` · `Bifurcation_diagram` · [[Bifurcation_theory]] · `Bill_Gosper` · `Blancmange_curve` · `Brosl_Hasslacher` · `Brownian_motion` · `Brownian_motor` · `Bryna_Kra` · `Buddhabrot` · `Burning_Ship_fractal` · `Butterfly_effect` · `Cantor_set` · `Caroline_Series` · `Celso_Grebogi` · `Chaos:_Making_a_New_Science` · `Chaos_game` · [[Chaos_theory]] · `Chen_Guanrong` · `Chua's_circuit` · `Coastline_paradox` · `Commensurability_(mathematics)` · [[Complex_analysis]] · `Complex_plane` · `Complex_quadratic_polynomial` · [[Complexity]] · [[Configuration_space_(physics)]] · `Conservative_system` · `Contact_mechanics` · `Control_of_chaos` · `Convergent_evolution` · `Coordinate_vector` · `Correlation_dimension` · [[Coupled_map_lattice]] · `Critical_point_(mathematics)` · `Curve` · `Cycle_detection` · `David_Ruelle` · `De_Rham_curve` · `Deformation_(engineering)` · `Deformation_(physics)` · `Desmond_Paul_Henry` · `Differentiable_function` · [[Differential_equation]] · `Diffusion-limited_aggregation` · [[Discrete_time_and_continuous_time]] · [[Dissipative_system]] · `Douady_rabbit` · `Double_pendulum` · `Dragon_curve` · `Duffing_equation` · `Duffing_map` · `Dyadic_transformation` · `Dynamical_billiards` · [[Dynamical_system]] · `Economics` · `Edge_of_chaos` · [[Edward_Norton_Lorenz]] · `Edward_Ott` · `Elastic_pendulum` · `Ergodic_theory` · `Ergodicity` · `Eric_W._Weisstein` · `Escapement` · `Exponential_map_(discrete_dynamical_systems)` · `Felix_Hausdorff` · `Fermi–Pasta–Ulam–Tsingou_problem` · `Fibonacci_word_fractal` · `Filled_Julia_set` · `Fixed_point_(mathematics)` · `Floris_Takens` · [[Fractal]] · `Fractal_art` · `Fractal_canopy` · `Fractal_dimension` · `Fractal_landscape` · `Fractal_string` · `Friction` · `Gaston_Julia` · `Gauss_iterated_map` · `Geneviève_Raugel` · `Geometric_primitive` · [[Geometry]] · `Georg_Cantor` · `Gingerbreadman_map` · `Gosper_curve` · `H_tree` · `Hamid_Naderi_Yeganeh` · `Hausdorff_dimension` · `Hee_Oh` · `Henri_Poincaré` · `Higuchi_dimension` · `Hilbert_curve` · `Horseshoe_map` · `Hyperbolic_set` · `Hénon_map` · `Hénon–Heiles_system` · `Ikeda_map` · `Initial_condition` · `Integral` · `Intersection_(set_theory)` · `Interval_exchange_transformation` · `Invariant_measure` · `Irrational_number` · `Irrational_rotation` · `Isolated_point` · `Itamar_Procaccia` · `Iterated_function_system` · `Iteration` · `James_A._Yorke` · `James_Gleick` · `John_Milnor` · `Julia_set` · `Kaleidoscope` · `Kaplan–Yorke_map` · `Kicked_rotator` · `Koch_snowflake` · `Krylov–Bogolyubov_theorem` · `L-system` · `Lai-Sang_Young` · `Langton's_ant` · `Lebesgue_covering_dimension` · `Leon_O._Chua` · `Lewis_Fry_Richardson` · `Limit_cycle` · `Limit_set` · `Linear_system` · `Liouville's_theorem_(Hamiltonian)` · `List_of_chaotic_maps` · `List_of_fractals_by_Hausdorff_dimension` · `Logistic_map` · `Lorenz_system` · `Lotka–Volterra_equations` · `Lyapunov_exponent` · `Lyapunov_fractal` · [[Lyapunov_stability]] · `Lévy_C_curve` · `Lévy_flight` · `Mackey–Glass_equations` · `Mandelbox` · `Mandelbrot_set` · `Mandelbulb` · `Manifold` · `Marcelo_Viana` · `Martin_Gutzwiller` · [[Mary_Cartwright]] · `Mary_Rees` · `Mary_Tsingou` · `MathWorld` · `Mathematics` · `Matrix_difference_equation` · `Measure-preserving_dynamical_system` · `Measure_(mathematics)` · `Menger_sponge` · `Metric_space` · `Michael_Barnsley` · `Michael_Berry_(physicist)` · `Michael_Ghil` · `Michel_Hénon` · `Minkowski_sausage` · `Minkowski–Bouligand_dimension` · `Misiurewicz_point` · `Mitchell_Feigenbaum` · `Mixing_(mathematics)` · `Moore_curve` · `Multibrot_set` · `Multifractal_system` · `Multiscroll_attractor` · `N-flake` · `Neighbourhood_(mathematics)` · `Newton's_method` · `Newton_fractal` · `Nina_Snaith` · [[Nonlinear_system]] · `Notices_of_the_American_Mathematical_Society` · `Open_set` · `Orbit_(dynamics)` · `Orbit_trap` · `Otto_Rössler` · `Outer_billiards` · `Packing_dimension` · `Parabolic_partial_differential_equation` · `Paul_Lévy_(mathematician)` · `Peano_curve` · [[Pendulum]] · `Pendulum_clock` · `Percolation_theory` · `Period-doubling_bifurcation` · `Periodic_function` · `Periodic_point` · `Peter_Grassberger` · `Phase_portrait` · [[Phase_space]] · [[Physics]] · `Pickover_stalk` · `Plastic` · `Poincaré_recurrence_theorem` · `Poincaré–Bendixson_theorem` · `Point_(geometry)` · [[Population_dynamics]] · [[Predictability]] · `Pythagoras_tree_(fractal)` · `Quantum_chaos` · [[Quantum_mechanics]] · `Rabinovich–Fabrikant_equations` · `Rayleigh–Bénard_convection` · `Real_number` · `Recurrence_plot` · `Recursion` · `Rendering_(computer_graphics)` · `Rufus_Bowen` · `Rössler_attractor` · `Santa_Fe_Institute` · `Scalar_(mathematics)` · `Scholarpedia` · `Self-avoiding_walk` · `Self-similarity` · `Sharkovskii's_theorem` · `Sierpiński_carpet` · `Sierpiński_curve` · `Sierpiński_triangle` · `Space-filling_curve` · `Space_(mathematics)` · `Sphere` · `Square_matrix` · `Stability_theory` · `Stable_distribution` · `Stable_manifold` · `Stable_manifold_theorem` · `Standard_map` · `Steady_state` · `Stephen_Smale` · `Stiction` · `Strange_nonchaotic_attractor` · `Structural_stability` · `Subset` · `Surface_(topology)` · `Surface_roughness` · `Svetlana_Jitomirskaya` · `Swinging_Atwood's_machine` · `Synchronization_of_chaos` · `T-square_(fractal)` · `Takens's_theorem` · `Tent_map` · `The_Beauty_of_Fractals` · `The_Fractal_Geometry_of_Nature` · [[Thermodynamics]] · `Three-body_problem` · `Three-dimensional_space` · `Tilt-A-Whirl` · `Tinkerbell_map` · `Topological_conjugacy` · `Topology` · `Toroid` · `Torus` · `Trajectory` · `Tricorn_(mathematics)` · `Union_(set_theory)` · `Van_der_Pol_oscillator` · `Vicsek_fractal` · `Wacław_Sierpiński` · [[Wayback_Machine]] · [[Weather_forecasting]] · `Weierstrass_function` · `Yakov_Sinai` · `Z-order_curve` · `Zaslavskii_map`
> p5.js MicroSim stub · part of Systems Thinking · [Wikipedia source](https://en.wikipedia.org/wiki/Attractor)
> Relation: subfield of systems thinking.
<!-- GIFPLATE:BEGIN v1.0 g16 — Commons hotlink; do not hand-edit inside -->
## Images
<figure class="wt-gifplate">
<img src="https://commons.wikimedia.org/wiki/Special:FilePath/A_Trajectory_Through_Phase_Space_in_a_Lorenz_Attractor.gif" alt="Phase Space Trajectories" loading="lazy" decoding="async">
<figcaption><strong>Phase Space Trajectories</strong> — Show how trajectories converge to attractor manifolds in phase space.<br>
<span class="wt-credit">Wikimedia Commons · <strong>licence pending verification</strong> (run <code>g17_gif_verify.py</code> on a networked lane) · <a href="https://commons.wikimedia.org/wiki/File:A_Trajectory_Through_Phase_Space_in_a_Lorenz_Attractor.gif">Details</a></span></figcaption>
</figure>
*This page has no interactive build yet, so the plate carries the concept. It is the first thing that moves on [[Attractor]].*
<!-- GIFPLATE:END -->
## Concept summary
In the mathematical field of dynamical systems, an attractor is a set of states toward which a [[System|system]] tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain close even if slightly disturbed.
## Build checklist
- [ ] Claim it: set `status: in-progress` + `lease` + `leased_at`
- [ ] Write the child page explaining the concept (tie it back to systems thinking)
- [ ] Finalize parameter ranges and defaults
- [ ] Implement the p5.js sketch (drawing + control regions)
- [ ] Add caption + the learning objective on the page
- [ ] Set `status: done`
## p5.js sketch
```javascript
// MicroSim: Attractor
let controls = {};
function setup() {
// createCanvas(...); create sliders for the parameters above.
}
function draw() {
// background(...); read controls; render phase space / attractor; respond live.
}
```
---
Back to Systems Thinking · Wikipedia: [Attractor](https://en.wikipedia.org/wiki/Attractor)
---
<!-- SEMIOTIC-PROFILE:START -->
## Semiotic profile
> *The semiotic universals this article invokes, machine-derived from the crossref — **unverified** (born so). Populated 2026-07-06 for the Systems room.*
**Universals (5):** 🟡 system (25) · 🟢 attractor chaos (23) · 🟡 science (5) · 🟢 damping (1) · 🟢 spiral (1)
**Enter by sign:** Systems Semiotic Gateway · Alphabetum · Icon Registry · ← Systems Portal
<!-- SEMIOTIC-PROFILE:END -->
## Wikipedia : Wikitube
**Strict pair:** [Wikipedia](https://en.wikipedia.org/wiki/Attractor) : [Wikitube](https://en.wikitube.io/wiki/Attractor)
## Previous hub tags
Tree parents: [[Complex_system]] · [[Cybernetics]] · [[Dynamical_system]] · [[Emergence]] · [[Feedback]] · [[Phase_space]] · [[Self-organization]] · [[Systems_science]] · [[Systems_theory]].
Legacy hubs: none.
---
*Sources: 2 legacy notes. Minted wave 1, 2026-07-30 (v1.6 order).*