LIE SERIES TECHNIQUE, LIMIT CYCLE SYSTEMS AND DYNAMICAL INTEGRATION

DOI10.1142/S0129183104006595zbMath1114.34006OpenAlexW2151980681MaRDI QIDQ3430355

Willi-Hans Steeb

Publication date: 21 March 2007

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183104006595

zbMATH Keywords

Euler methodchaotic systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Uses Software

• Unnamed Item

Cites Work

• Limit cycle oscillations and a perturbed harmonic oscillator
• For all real \(\mu\), \(\ddot x +\mu \sin\dot x+x = 0\) has an infinite number of limit cycles
• DYNAMICAL INTEGRATION

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