chaos theory
Chaos theory is a scientific concept that studies how complex systems, even with deterministic rules, can exhibit unpredictable and highly sensitive behaviors, often referred to as the "butterfly effect," where even small changes in initial conditions can have significant long-term impacts.
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Related Concepts (97)
- aleatoric
- aleatoric uncertainty
- attractor
- attractor basins
- attractor landscapes
- attractors
- barnsley fern
- bifurcation analysis
- bifurcation diagram
- bifurcation points
- bifurcation theory
- bifurcation theory in dynamical systems
- bifurcations in economics and game theory
- bifurcations in fluid dynamics
- butterfly effect
- catastrophe theory
- cellular automata in self-organization
- chaos synchronization
- chaotic systems
- cobweb plot
- complex dynamical systems
- complex dynamics
- complex systems
- complexity
- complexity theory
- control of chaos
- deterministic chaos
- deterministic systems
- discrete dynamical systems
- dissipative systems
- double pendulum
- dynamical systems
- dynamical systems theory
- edward lorenz
- emergence
- ergodic theory
- feedback loops
- feigenbaum constants
- fixed points
- fractal art
- fractal dimension
- fractal landscape
- fractal music
- fractals
- henon attractor
- hénon map
- initial conditions
- iterated function systems
- iterated function systems in art
- iterated maps
- julia sets
- logistic map
- lorenz attractor
- lorenz gas
- lorenz system
- lorenz wheel
- lyapunov exponent
- lyapunov exponents
- mandelbrot set
- mathematical visualization
- mathematics of self-similarity
- non-linear dynamics
- non-periodic behavior
- nonlinear differential equations
- nonlinear dynamics
- nonlinear maps
- nonlinear oscillations
- nonlinear time series analysis
- nonlinear transformations
- pattern formation
- period-doubling bifurcation
- period-doubling cascades
- periodic orbits
- phase space
- phase transitions
- poincaré maps
- poincaré recurrence theorem
- poincaré section
- route to chaos
- rössler attractor
- self-organization
- self-similarity
- sensitive dependence on initial conditions
- sensitive dependence on parameters
- sensitivity to initial conditions
- sierpinski triangle
- spontaneous order
- stability and bifurcation analysis
- stochastic processes
- strange attractor
- strange attractor models
- strange attractors
- synchronization
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