English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The forced response of a Mathieu-Duffing oscillator subjected to a two-frequency quasiperiodic excitation is examined in the context when the ratio of the excitation frequencies is large. Numerical results are obtained by the spectral balance method and compared with those predicted by direct numerical integrations. Characteristics of the response as a frequency parameter is tuned are investigated in terms of the time histories, frequency spectra, Poincaré sections and Lyapunov exponents. It is observed that routes to chaotic motions are different for frequency ranges near the natural frequency of the linear system and near the parametric resonance frequency. It is also shown that the contribution of the small frequency component is important in the prediction of chaotic motions.

Chaotic Motions of a Duffing Oscillator Subjected to Combined Parametric and Quasiperiodic Excitation