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Lyapunov exponent - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Lyapunov_exponent

In mathematics the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of ...

Lyapunov Characteristic Exponent -- from Wolfram MathWorld

mathworld.wolfram.com/LyapunovCharacteristicExponent.html

Lyapunov Characteristic Exponent. The Lyapunov characteristic exponent [LCE] gives the rate of exponential divergence from perturbed initial conditions.

Lyapunov Exponents - Chaos and Time-Series Analysis

sprott.physics.wisc.edu/phys505/lect05.htm

Lyapunov Exponents Chaos and Time-Series Analysis ... Lyapunov exponent is a generalization of an eigenvalue; Average the phase-space volume expansion along trajectory;

Lyapunov exponent - Scholarpedia

scholarpedia.org/article/Lyapunov_exponent

It is interesting to notice that while it makes sense to determine the imaginary part of the Lyapunov exponents for fixed points and periodic orbits, this question ...

Chapter 7 Lyapunov Exponents - Condensed Matter Physics

www.cmp.caltech.edu/~mcc/Chaos_Course/Lesson7/Lyapunov.pdf

Chapter 7 Lyapunov Exponents Lyapunov exponents tell us the rate of divergence of nearby trajectories—a key componentofchaoticdynamics ...

4.3 Lyapunov Exponent - Hypertextbook

hypertextbook.com/chaos/43.shtml

prev | index | next. Standard map orbits rendered with Std Map. 4.3 Lyapunov Exponent. Descriptions of the sort given in the last paragraph are unnatural and clumsy.

Lyapunov exponents - ChaosBook.org

chaosbook.org/chapters/Lyapunov.pdf

CHAPTER6. LYAPUNOVEXPONENTS 117 Figure 6.2: A long-time numerical calculation of the leading Lyapunov exponent requires rescaling the dis-tance in order to keep the ...

Aleksandr Lyapunov - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Aleksandr_Lyapunov

Lyapunov exponent Lyapunov Central Limit Theorem ... After the death of his father in 1868, Aleksandr Lyapunov was educated by his uncle R. M. Sechenov, ...

Numerical Calculation of Largest Lyapunov Exponent

sprott.physics.wisc.edu/chaos/lyapexp.htm

Numerical Calculation of Largest Lyapunov Exponent J. C. Sprott Department of Physics, University of Wisconsin, Madison, WI 53706, USA

Calculation Lyapunov Exponents for ODE - File Exchange ...

www.mathworks.com/matlabcentral/fileexchange/4628

File Information; Description: Lyapunov exponent calcullation for ODE-system. The alogrithm employed in this m-file for determining Lyapunov exponents was proposed in ...