TL;DR
This paper reviews how nonlinear dynamical systems and pattern theory methods are applied in astrophysics, covering areas like stellar variability and spatial complexity, and discusses future research prospects.
Contribution
It provides a comprehensive review of the application of chaos and complexity theories in astrophysics, highlighting existing work and future directions.
Findings
Nonlinear methods are useful in understanding stellar pulsations.
Applications of chaos theory have advanced the study of spatial complexity in astrophysics.
Future prospects include expanding these approaches to new astrophysical phenomena.
Abstract
Methods and techniques of the theory of nonlinear dynamical systems and patterns can be useful in astrophysical applications. Some works on the subjects of dynamical astronomy, stellar pulsation and variability, as well as spatial complexity in extended systems, in which such approaches have already been utilized, are reviewed. Prospects for future directions in applications of this kind are outlined.
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