# Reference results for Lyapunov_exponent from Search.com.

## 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 trajectoriesâ€”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 ...