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• W2893407703 abstract "The process we will follow is similar to that of Chap. 2 for linear perturbations, but now we are also going to consider quadratic terms to define the perturbations (Sect. 4.1). We will show that, in the quadratic-perturbation approximation, modes couple in triplets, which satisfy a resonance condition (Sect. 4.2). Coupling of an unstable mode to other (stable) modes of the star can lead to the saturation of the unstable mode’s amplitude, through a mechanism known as parametric resonance instability (Sect. 4.3). For the saturation to be successful, some stability conditions, which determine the amplitude evolution of the coupled triplet, have to be satisfied (Sect. 4.4), with some interesting behaviours occurring throughout the parameter space, like limit cycles, chaotic orbits, and frequency synchronisation." @default.
• W2893407703 created "2018-10-05" @default.
• W2893407703 creator A5011469400 @default.
• W2893407703 date "2018-01-01" @default.
• W2893407703 modified "2023-09-27" @default.
• W2893407703 title "Mode Coupling: Quadratic Perturbation Scheme" @default.
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• W2893407703 doi "https://doi.org/10.1007/978-3-319-98258-8_4" @default.
• W2893407703 hasPublicationYear "2018" @default.
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