Topological Translations and Nonlinear Resonance

DOI10.1515/ANS-2007-0105zbMATH Open1120.37025OpenAlexW2513811434MaRDI QIDQ5757074

Walter Dambrosio, Rafael Ortega

Publication date: 24 August 2007

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2007-0105

zbMATH Keywords

nonlinear oscillatorsLyapunov functionstopological conjugacyPoincaré maptranslation of the plane

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Cites Work

• Boundedness in nonlinear oscillations at resonance
• Bounded perturbations of forced harmonic oscillators at resonance
• Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem

Related Items (1)

Periodic and unbounded solutions of periodic systems

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