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PreprintCC BY 4.0arXiv

Nonlinear Dynamical Regimes of Cosmological Frequency Combs

Abstract

We study the emergence of Cosmological Frequency Combs (CFCs) in a quintessence cosmology with an exponential potential using a dynamical systems formulation. Expressing the evolution equations in expansion-normalized variables yields an autonomous nonlinear system that supports time-periodic attractors corresponding to limit cycles, producing comb like spectral structures in cosmological observables without external periodic forcing. Numerical simulations reveal transitions between single frequency, comb like and chaotic regimes controlled by the fundamental frequency, background equation of state parameter, and initial conditions. Coherent comb structures arise only within well defined dynamical windows, while very low frequencies and unfavorable initial conditions suppress phase locking. These results show that CFCs naturally emerge from nonlinear cosmological dynamics and motivate further study of their possible observational implications.

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BibTeX
@misc{mishra2026nonlinear,
  title = {{Nonlinear Dynamical Regimes of Cosmological Frequency Combs}},
  author = {Madhurendra Mishra and Oem Trivedi and Adarsh Ganesan},
  howpublished = {arXiv},
  year = {2026},
  month = jun,
  doi = {10.48550/arxiv.2606.16227},
  eprint = {2606.16227},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.16227},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Nonlinear Dynamical Regimes of Cosmological Frequency Combs
AU  - Madhurendra Mishra
AU  - Oem Trivedi
AU  - Adarsh Ganesan
PY  - 2026
DA  - 2026/06/15
PB  - arXiv
DO  - 10.48550/arxiv.2606.16227
UR  - https://arxiv.org/abs/2606.16227
AB  - We study the emergence of Cosmological Frequency Combs (CFCs) in a quintessence cosmology with an exponential potential using a dynamical systems formulation. Expressing the evolution equations in expansion-normalized variables yields an autonomous nonlinear system that supports time-periodic attractors corresponding to limit cycles, producing comb like spectral structures in cosmological observables without external periodic forcing. Numerical simulations reveal transitions between single frequency, comb like and chaotic regimes controlled by the fundamental frequency, background equation of state parameter, and initial conditions. Coherent comb structures arise only within well defined dynamical windows, while very low frequencies and unfavorable initial conditions suppress phase locking. These results show that CFCs naturally emerge from nonlinear cosmological dynamics and motivate further study of their possible observational implications.
ER  -