Stability of odd periodic solutions in a resonant oscillator

DOI10.1007/s10231-016-0580-9zbMath1369.34062OpenAlexW2466080640MaRDI QIDQ522148

Andrés Rivera, Gian Rossodivita, Daniel E. Nuñez

Publication date: 13 April 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-016-0580-9

zbMATH Keywords

periodic solutionsLyapunov stabilitynonlinear oscillationsimplicit function theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items

Existence of periodic solutions for a class of second order ordinary differential equations

Cites Work

• Quantifying Poincaré's continuation method for nonlinear oscillators
• Periodic solutions of perturbed second-order autonomous equations
• Some Singular Cases of the Implicit Function Theorem
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