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- W3215706428 abstract "Abstract In this paper, we study a cosmological model inspired in the axionic matter with two canonical scalar fields $$phi _1$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>ϕ</mml:mi> <mml:mn>1</mml:mn> </mml:msub> </mml:math> and $$phi _2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>ϕ</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> interacting through a term added to its potential. Introducing novel dynamical variables, and a dimensionless time variable, the resulting dynamical system is studied. The main difficulties arising in the standard dynamical systems approach, where expansion normalized dynamical variables are usually adopted, are due to the oscillations entering the nonlinear system through the Klein–Gordon (KG) equations. This motivates the analysis of the oscillations using methods from the theory of averaging nonlinear dynamical systems. We prove that time-dependent systems, and their corresponding time-averaged versions, have the same late-time dynamics. Then, we study the time-averaged system using standard techniques of dynamical systems. We present numerical simulations as evidence of such behavior." @default.
- W3215706428 created "2021-12-06" @default.
- W3215706428 creator A5002951061 @default.
- W3215706428 creator A5010493400 @default.
- W3215706428 creator A5053141130 @default.
- W3215706428 creator A5060903913 @default.
- W3215706428 date "2021-11-01" @default.
- W3215706428 modified "2023-10-16" @default.
- W3215706428 title "Time-averaging axion-like interacting scalar fields models" @default.
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