Limit cycles and stability of highly nonlinear periodic systems by harmonic variables

DOI10.1016/0898-1221(93)90244-PzbMath0777.34016MaRDI QIDQ2365936

Omri Rand

Publication date: 29 June 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical methodlimit cyclesasymptotic orbital stabilityperiodic responseharmonic variableshighly nonlinear systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Asymptotic properties of solutions to ordinary differential equations (34D05) Numerical analysis in abstract spaces (65J99)

Uses Software

• IMSL Numerical Libraries

Cites Work

• Harmonic variables - A new approach to nonlinear periodic problems
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