List of all pages

• Deterministic logistic map
• Stochastic logistic map
• Additive noise
• Multiplicative noise
• References
• Random dynamical systems
• Ergodic processes
• List of all pages

• Bifurcation diagrams
• a = 0, b=0.01
• a = 0, b=0.025
• a = 0, b=0.05
• a = 0, b=0.1
  
  

• Lyapunov exponents
• µ in [0,4], b in [0,0.1]
• µ in [0,4], b in [0,0.02]
• µ in [2.75,4], b in [0,0.1]
• µ in [2.75,4], b in [0,0.02]

• Lyapunov exponents (3d)
• µ in [0,4], b in [0,0.1]
• µ in [0,4], b in [0,0.02]
• µ in [2.75,4], b in [0,0.1]
• µ in [2.75,4], b in [0,0.02]

• Bifurcation diagrams
• = 0.5, = µ ± 0.01
• = 0.5, = µ ± 0.1
• = 0.5, = µ ± 0.15
• = 0.5, = µ ± 0.2
• = 0.01, = µ ± 0.15
• = 0.25, = µ ± 0.15
• = 0.85, = µ ± 0.15
• = 0.95, = µ ± 0.15

• Lyapunov exponents (2d and interpretations)
• = 0.01, a,b in [0,4]
• = 0.25, a,b in [0,4]
• = 0.50, a,b in [0,4]
• = 0.85, a,b in [0,4]

• Lyapunov exponents (3d)
• = 0.01, a,b in [0,4]
• = 0.25, a,b in [0,4]
• = 0.50, a,b in [0,4]
• = 0.85, a,b in [0,4]

• Lyapunov exponents (movie)
• runs through [0.01,0.99], a,b in [0,4]