strange attractor
Fractal orbit pattern
A strange attractor is a pattern toward which a chaotic system tends over time, never settling into a fixed point or simple orbit but tracing an infinitely complex, non-repeating path within bounded space.
The concept comes from chaos theory and dynamical systems: The Lorenz attractor, shaped like a butterfly's wings, became the iconic image of chaos theory.
Strange attractors reveal hidden order in apparently random behavior—weather systems, turbulent fluids, heartbeat rhythms.
The "strange" distinguishes these fractal structures from simple attractors like a pendulum coming to rest.
Shape repeating at every scale
- self-similarityIdentical at every magnification
- manifoldMany and various
- topologyStudy of spatial arrangement
- embeddingPlacing within surrounding mass
Hausdorff dimension · projection · structure · pattern · Lyapunov exponent · reconstruction · visualization · plotting
Austrian animal behaviorist
- butterfly effectSmall inputs, disproportionate results
- bifurcationDivision into two branches
- sensitivityResponsiveness to stimuli
- initial conditionsState at time zero
deterministic chaos · unpredictable · trajectory · orbit · time series · bounded · stretching · folding
fractal
Shape repeating at every scale
- self-similarityIdentical at every magnification
- manifoldMany and various
- topologyStudy of spatial arrangement
embedding · Hausdorff dimension · projection · structure · pattern · Lyapunov exponent · reconstruction · visualization · plotting · three-dimensional
Lorenz
Austrian animal behaviorist
- butterfly effectSmall inputs, disproportionate results
- bifurcationDivision into two branches
- sensitivityResponsiveness to stimuli
initial conditions · deterministic chaos · unpredictable · trajectory · orbit · time series · bounded · stretching · folding · mixing
- Attractors
- dynamical systemsattractors, chaos theory, equilibria, fixed points, bifurcation
- dimensionsdimension, spatial dimension, third dimension, fourth dimension, fifth dimension
- Fractalsfractal, fractals, self-similar, Hausdorff dimension, recursion
- stability theorystructural stability, instability, equilibrium, Lyapunov exponent, attractors
strange attractorfixed point
Value unchanged by function
stable equilibrium · repeller · steady state · unstable equilibrium · laminar flow
strange attractorpoint
Exact location or meaning
circle · ellipse · torus · Euclidean geometry
strange, attract, attractive, attraction, unattractive, attracted, strangeness, strange attractors, attracts