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Nested sequences of period-adding stability phases in a CO2 laser map proxy

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  • Araújo, José R.B.M.
  • Gallas, Jason A.C.

Abstract

We report the discovery of wide nested sequences of period-adding complexification routes spawning the whole control parameter space of the Hénon map, a discrete-time proxy of single-mode loss-modulated CO2 lasers. For a realistic map, the new adding routes found reproduce analogous phenomena previously observed in continuous-time differential equations describing, for instance, oscillatory phases in an enzyme reaction model. In contrast to differential equations, the map is analytically tractable to a large extent, and provides a prototypic framework to investigate intricate features of generic dissipative flows.

Suggested Citation

  • Araújo, José R.B.M. & Gallas, Jason A.C., 2021. "Nested sequences of period-adding stability phases in a CO2 laser map proxy," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005348
    DOI: 10.1016/j.chaos.2021.111180
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