Weak chaos in an area-preserving mapping for sound ray propagation

Frederick D. Tappert, Michael G Brown, Gustavo Goñi

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

A nonseparable underwater acoustic wave propagation problem is studied in the geometric limit. The combination of internal refraction and reflecting boundaries leads to a noncontinuously differentiable area-preserving mapping, to which the KAM theorem does not apply. The phenomenon of weak chaos, wherein an arbitrarily small perturbation to the separable problem causes observable chaotic behavior, is shown to occur.

Original languageEnglish (US)
Pages (from-to)181-185
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume153
Issue number4-5
DOIs
StatePublished - Mar 4 1991

Fingerprint

underwater acoustics
preserving
chaos
refraction
wave propagation
rays
theorems
perturbation
propagation
acoustics
causes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Weak chaos in an area-preserving mapping for sound ray propagation. / Tappert, Frederick D.; Brown, Michael G; Goñi, Gustavo.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 153, No. 4-5, 04.03.1991, p. 181-185.

Research output: Contribution to journalArticle

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