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30 relations: Amplitude, Astronomical spectroscopy, Bifurcation theory, Center manifold, Cepheid variable, Chaos theory, Delta Scuti, Doppler effect, Fixed point (mathematics), Fourier analysis, Hertzsprung–Russell diagram, Hopf bifurcation, Instability strip, Irregular variable, Jones & Bartlett Learning, Light curve, Low-dimensional chaos in stellar pulsations, Luminosity, Normal mode, Ordinary differential equation, Overtone, Periodic function, Poincaré–Lindstedt method, RR Lyrae, RV Tauri variable, Semiregular variable star, Star, Stellar structure, Variable star, W Virginis variable.
Amplitude
The amplitude of a periodic variable is a measure of its change over a single period (such as time or spatial period).
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Astronomical spectroscopy
Astronomical spectroscopy is the study of astronomy using the techniques of spectroscopy to measure the spectrum of electromagnetic radiation, including visible light and radio, which radiates from stars and other celestial objects.
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Bifurcation theory
Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations.
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Center manifold
In mathematics, the center manifold of an equilibrium point of a dynamical system consists of orbits whose behavior around the equilibrium point is not controlled by either the attraction of the stable manifold or the repulsion of the unstable manifold.
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Cepheid variable
A Cepheid variable is a type of star that pulsates radially, varying in both diameter and temperature and producing changes in brightness with a well-defined stable period and amplitude.
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Chaos theory
Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions.
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Delta Scuti
Delta Scuti (δ Sct, δ Scuti) is a giant star in the southern constellation Scutum.
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Doppler effect
The Doppler effect (or the Doppler shift) is the change in frequency or wavelength of a wave in relation to observer who is moving relative to the wave source.
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Fixed point (mathematics)
In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function.
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Fourier analysis
In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.
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Hertzsprung–Russell diagram
The Hertzsprung–Russell diagram, abbreviated H–R diagram, HR diagram or HRD, is a scatter plot of stars showing the relationship between the stars' absolute magnitudes or luminosities versus their stellar classifications or effective temperatures.
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Hopf bifurcation
In the mathematical theory of bifurcations, a Hopf bifurcation is a critical point where a system's stability switches and a periodic solution arises.
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Instability strip
The unqualified term instability strip usually refers to a region of the Hertzsprung–Russell diagram largely occupied by several related classes of pulsating variable stars: Delta Scuti variables, SX Phoenicis variables, and rapidly oscillating Ap stars (roAps) near the main sequence; RR Lyrae variables where it intersects the horizontal branch; and the Cepheid variables where it crosses the supergiants.
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Irregular variable
An irregular variable is a type of variable star in which variations in brightness show no regular periodicity.
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Jones & Bartlett Learning
Jones & Bartlett Learning, a division of Ascend Learning, is a provider of instructional, assessment and learning-performance management solutions for the secondary, post-secondary, and professional markets.
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Light curve
In astronomy, a light curve is a graph of light intensity of a celestial object or region, as a function of time.
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Low-dimensional chaos in stellar pulsations
Low-dimensional chaos in stellar pulsations is the current interpretation of an established phenomenon.
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Luminosity
In astronomy, luminosity is the total amount of energy emitted per unit of time by a star, galaxy, or other astronomical object.
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Normal mode
A normal mode of an oscillating system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation.
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Ordinary differential equation
In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.
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Overtone
An overtone is any frequency greater than the fundamental frequency of a sound.
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Periodic function
In mathematics, a periodic function is a function that repeats its values in regular intervals or periods.
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Poincaré–Lindstedt method
In perturbation theory, the Poincaré–Lindstedt method or Lindstedt–Poincaré method is a technique for uniformly approximating periodic solutions to ordinary differential equations, when regular perturbation approaches fail.
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RR Lyrae
RR Lyrae is a variable star in the Lyra constellation, located near the border with the neighboring constellation of Cygnus.
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RV Tauri variable
RV Tauri variables are luminous variable stars that have distinctive light variations with alternating deep and shallow minima.
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Semiregular variable star
Semiregular variable stars are giants or supergiants of intermediate and late spectral type showing considerable periodicity in their light changes, accompanied or sometimes interrupted by various irregularities.
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Star
A star is type of astronomical object consisting of a luminous spheroid of plasma held together by its own gravity.
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Stellar structure
Stars of different mass and age have varying internal structures.
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Variable star
A variable star is a star whose brightness as seen from Earth (its apparent magnitude) fluctuates.
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W Virginis variable
W Virginis variables are a subclass of Type II Cepheids which exhibit pulsation periods between 10–20 days,Wallerstein, G.,, Publications of the Astronomical Society of the Pacific, 114 p.689–699 (2002) and are of spectral class F6 – K2.
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References
[1] https://en.wikipedia.org/wiki/Stellar_pulsation
