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. The Lyapunov characteristic exponent [LCE] gives the rate of exponential divergence from perturbed initial conditions.
Lyapunov Exponents Chaos and Time-Series Analysis ... Lyapunov exponent is a generalization of an eigenvalue; Average the phase-space volume expansion along trajectory;
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 Lyapunov exponents tell us the rate of divergence of nearby trajectories—a key componentofchaoticdynamics ...
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.
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 ...
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 J. C. Sprott Department of Physics, University of Wisconsin, Madison, WI 53706, USA
File Information; Description: Lyapunov exponent calcullation for ODE-system. The alogrithm employed in this m-file for determining Lyapunov exponents was proposed in ...