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

José R.B.M. Araújo and Jason A.C. Gallas

Chaos, Solitons & Fractals, 2021, vol. 150, issue 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.

Keywords: Period-adding; CO2 laser; Hénon map; Nested periodicity; Phase diagrams; Parameter space (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005348

DOI: 10.1016/j.chaos.2021.111180

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