lyapunov exponents
Lyapunov exponents are mathematical measures used to quantify the sensitivity of a dynamic system to initial conditions. They determine the rate at which nearby trajectories diverge or converge over time, indicating the system's long-term predictability and the presence of chaos.
Requires login.
Related Concepts (32)
- attractor basins
- attractors
- bifurcation analysis
- bifurcation theory in dynamical systems
- biological modeling
- chaos theory
- complex dynamics
- control of chaos
- control theory
- deterministic chaos
- discrete dynamical systems
- discrete-time dynamical systems
- dynamical systems
- dynamical systems theory
- ergodic theory
- feigenbaum constants
- fractals
- henon attractor
- iterated maps
- neural networks
- nonlinear dynamics
- period-doubling bifurcation
- period-doubling cascades
- quantum chaos
- route to chaos
- sensitive dependence on initial conditions
- stability analysis
- statistical mechanics
- stochastic processes
- strange attractors
- time series analysis
- turbulence
Similar Concepts
- complex exponentiation
- critical exponents
- exponents
- lyapunov direct method
- lyapunov exponent
- lyapunov exponents in biological systems
- lyapunov exponents in financial forecasting
- lyapunov exponents in network dynamics
- lyapunov exponents in quantum mechanics
- lyapunov functions
- lyapunov stability
- lyapunov stability in optimal control
- lyapunov stability of time-delay systems
- lyapunov stability theorem
- lyapunov stability theory