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Phase-coupled nonlinear dynamical systems, stability, first integrals, and Liapunov exponents

โœ Scribed by W. -H. Steeb; M. A. van Wyk


Book ID
105574143
Publisher
Springer
Year
1997
Tongue
English
Weight
239 KB
Volume
36
Category
Article
ISSN
0020-7748

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โœ Mingxuan Fan; Matthew Clark; Z.C. Feng ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 356 KB

We study the stability and convergence of a phase-locked-loop applied to a nonlinear system. It has been shown through numerical simulations by previous investigators that nonlinearity gives rise to oscillatory instability. By applying the method of averaging to the nonlinear system, we found that t