Strange attractors of long-period variable stars in a one-zone model of stellar pulsation

Authors

  • Jesus Miguel A. Yulo II ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Michael Francis Ian G. Vega II ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We explore a one-zone model of stellar pulsation that exhibits period-doubling routes to chaos for variations in two different control parameters. One of these parameters is associated with the strength of the κ-mechanism and the other with the strength of non-adiabaticity. Through the use of first return maps, we are able to visualize these period-doubling cascades to chaos. We then compare the strange attractors formed in the velocity return maps for parameter values corresponding to some long-period variable (LPV) stars. We find a "y"-shaped structure in the chaotic regime associated with the non-adiabaticity. This "y"-shaped structure had previously only been associated with the κ-mechanism derived chaotic regime. This leads to the insight that LPVs with these "y"-shaped attractors may have chaotic oscillations deriving from variations in either of these two processes, instead of just the κ-mechanism.

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Article ID

SPP-2021-1C-04

Section

Cosmology and Astrophysics

Published

2021-10-06

How to Cite

[1]
JMA Yulo and MFIG Vega, Strange attractors of long-period variable stars in a one-zone model of stellar pulsation, Proceedings of the Samahang Pisika ng Pilipinas 39, SPP-2021-1C-04 (2021). URL: https://proceedings.spp-online.org/article/view/SPP-2021-1C-04.