Premium
The Lyapunov exponents of the Van der Pol oscillator
Author(s) -
Grasman Johan,
Verhulst Ferdinand,
Shih ShagiDi
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.606
Subject(s) - van der pol oscillator , lyapunov exponent , mathematics , attractor , zero (linguistics) , amplitude , mathematical physics , lyapunov function , mathematical analysis , nonlinear system , quantum mechanics , physics , linguistics , philosophy
Lyapunov exponents characterize the dynamics of a system near its attractor. For the Van der Pol oscillator these are quantities for which an approximation should be at hand. Similar to the asymptotic approximation of amplitude and period, expressions are derived for the non‐zero Lyapunov exponent for both small and large parameter values. Copyright © 2005 John Wiley & Sons, Ltd.