On the existence of limit cycles and self-sustained oscillations in nonlinear dynamic systems

DOI10.1134/S1028335806070111zbMath1255.34030OpenAlexW1968405724MaRDI QIDQ1956684

O. V. Druzhinina, T. S. Mulkidzhan

Publication date: 23 September 2010

Published in: Doklady Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1028335806070111

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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The asymptotic rigidity of a compact invariant set of a dynamic system stable in the Poisson sense

Cites Work

• Massera's convergence theorem for periodic nonlinear differential equations
• On Bendixson's criterion
• Periodic solutions and asymptotic stability
• Existence of periodic orbits of autonomous ordinary differential equations
• The Poincaré–Bendixson theorem for certain differential equations of higher order
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