Remarkable similarities in distributions of dynamical observables in chaotic systems

Keyphrases

• Chaotic System 100%
• Rate Function 66%
• Stochastic Processes 33%
• Gaussian Distribution 33%
• Large Deviations 33%
• Random Walk 33%
• Non-Gaussian 33%
• Statistical Similarity 33%
• Physical Interpretation 33%
• Complex Dynamics 33%
• Central Limit Theorem 33%
• Large N Limit 33%
• Chaotic Trajectories 33%
• Sensitivity to Initial Conditions 33%
• Open Map 33%
• Class Function 33%
• Large Sequences 33%
• Logistic Map 33%
• Mirror-symmetric 33%
• Finite-time Lyapunov Exponent 33%
• Large Deviation Theory 33%
• Large Deviation Principle 33%
• Position Observable 33%

Mathematics

• Chaos 100%
• Gaussian Distribution 50%
• Rate Function 50%
• Variance 25%
• Initial Condition 25%
• Stochastic Process 25%
• Complex Dynamic 25%
• Central Limit Theorem 25%
• Finite Time 25%
• Open Map 25%
• Logistic Map 25%
• Rare Event 25%
• Large Deviation Principle 25%
• Random Walk 25%
• Lyapunov Exponent 25%

Physics

• Chaos 100%
• Gaussian Distribution 50%
• Lyapunov Exponent 25%
• Random Walk 25%