Splet16 vrstic · The Lyapunov exponent is a number that measures stability. In this page, the Lyapunov exponent is applied to an equation that jumps between stability and instability, … SpletLyapunov exponent if it is a straight line) 3. The number of points for which a neighborhood with enough: points was found ''' raise NotImplementedError: def lyap_r(): ''' Maximal exponent: The program estimates the largest Lyapunov exponent of a given: scalar data set using the algorithm of Rosenstein et al. Usage: Option Description Default

Chapter 7 Lyapunov Exponents - California Institute of Technology

Splet09. avg. 2016 · The Lyapunov exponent characterizes the asymptotic behavior of long matrix products. Recognizing scenarios where the Lyapunov exponent is strictly positive … SpletThe scaling laws of the largest Lyapunov exponent, the Kaplan–Yorke dimension, and the metric entropy are investigated in the high … hormone connected to hair loss

What is Chaos? Part III: Lyapunov Exponents – The Chaostician

Splet23. jun. 2024 · The Lyapunov exponent is a wide-reaching and useful tool for the analysis of chaotic systems. In this thesis, we go through the necessary mathematical and … Splet15. maj 2024 · ..the largest Lyapunov exponent, which measures the average exponential rate of divergence or convergence of nearby network states. Lyapunov exponents (LEs) … SpletNegative Lyapunov exponents are associated with dissipative systems; Lyapunov exponents equal to zero are associated with conservative systems; and positive … hormone controls the brain\u0027s reward pathway