Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator

DOI10.1016/j.nonrwa.2007.06.007zbMath1156.34321OpenAlexW2147090436MaRDI QIDQ1007730

Michele V. Bartuccelli, Jonathan H. B. Deane, Alberto Berretti, Guido Gentile, Stephen A. Gourley

Publication date: 24 March 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.06.007

zbMATH Keywords

perturbation theoryasymptotic stabilityelliptic functionsscalingdissipative systemsresonancesbasins of attractionperiodic motionssubharmonic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear dynamics in mechanics (70K99)

Related Items

Invariant sets for the varactor equation, Basins of attraction in forced systems with time-varying dissipation, Stable dynamics in forced systems with sufficiently high/low forcing frequency, Comparisons between the pendulum with varying length and the pendulum with oscillating support, Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit, Attractiveness of periodic orbits in parametrically forced systems with time-increasing friction

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