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On the poles of an acoustic resonator

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Publication:1337907
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zbMath0810.76079MaRDI QIDQ1337907

Rustem R. Gadyl'shin

Publication date: 5 December 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

asymptotic expansionsmall parameterNeumann problemunique eigenfunctionunique resonator pole


Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Hydro- and aero-acoustics (76Q05)


Related Items

Unnamed Item ⋮ On resonant frequencies in the diffraction problems of electromagnetic waves by the diaphragm in a semi-infinite waveguide



Cites Work

  • Unnamed Item
  • Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
  • Resonance regions for Mathieu type dynamical systems on a torus
  • Bifurcations and stability of families of diffeomorphisms
  • Attractors on an N-torus: Quasiperiodicity versus chaos
  • Pseudocharacters on the group \(\text{SL}(2,\mathbb{Z})\)
  • Scaling of the Arnold tongues
  • Resonance Zones in Two-Parameter Families of Circle Homeomorphisms
  • Rotation Sets of Toral Flows
  • Rotation Sets for Maps of Tori
  • Resonance regions for families of torus maps
  • Small denominators. I. Mappings of the circumference onto itself
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