Period shifts and synchronization in resonant mode interactions of non-linear stellar pulsation

Details Period shifts and synchronization in resonant mode interactions of non-linear stellar pulsation Period shifts and synchronization in resonant mode interactions of non-linear stellar pulsation

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mnras.206..833a&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 206, Feb. 15, 1984, p. 833-842.

Astronomy and Astrophysics

Astronomy

10

Cepheid Variables, Coupled Modes, Resonance, Stable Oscillations, Stellar Oscillations, Frequency Shift, Frequency Synchronization, Harmonic Oscillation, Modal Response, Nonlinear Equations, Wave Interaction

Scientific paper

Two- and three-wave mode resonances are investigated analytically. Special attention is paid to the problem of shifts and synchronization of pulsation periods involved in these resonance mode iterations. It is shown that synchronization could be realized by mutual period shifts of the modes in stationary oscillation states. Multiple stationary solutions appearing near resonance centres are briefly discussed as part of a study of the stability of the stationary solutions.

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