Homoclinic orbits in the dynamics of articulated pipes conveying fluid

DOI10.1088/0951-7715/4/3/007zbMath0735.76005OpenAlexW2048603855MaRDI QIDQ3976848

Alan R. Champneys

Publication date: 25 June 1992

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/4/3/007

zbMATH Keywords

periodic orbitsincompressible fluidbifurcationelastically jointed pair of articulated pipessaddle-focus stationary pointSil'nikov homoclinic orbits

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability theory for smooth dynamical systems (37C75) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Wiggly canards: growth of traveling wave trains through a family of fast-subsystem foci ⋮ The non-transverse Shil'nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies ⋮ Homoclinic tangencies in the dynamics of articulated pipes conveying fluid ⋮ Homoclinic tangencies in an autocatalytic model of interfacial processes at the bone surface

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