Reduced normal form as minimal models for nonlinear radial pulsations

Details Reduced normal form as minimal models for nonlinear radial pulsations Reduced normal form as minimal models for nonlinear radial pulsations

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap%26ss.220....1p&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 220, no. 1, p. 1-37

Computer Science

Numerical Analysis

3

Differential Equations, Hydrodynamic Equations, Nonlinearity, Pulses, Stellar Models, Algebra, Eigenvalues, Matrices (Mathematics), Numerical Analysis, Vectors (Mathematics)

Scientific paper

We prove that the time behaviour of the currently adopted deterministic radial stellar pulsation equations is always equivalent, in a sense to be defined, to the time behaviour of a low dimensional parametric differential equation (Reduced Normal Form Family). The algebraic construction of this equation is explicitly given. All 'simple models' so far discussed in the literature are members of this family.

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