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- W2065233782 abstract "Abstract Numerical evidence is presented showing homoclinic tangencies to periodic orbits occuring in a four-dimensional system of ordinary differential equations that describes the dynamics of a pair of articulated pipes conveying fluid. Bifurcation sequences of mixed-mode oscillations are discovered in two separate regions of parameter space. In one region the equations have Z 2-symmetry and a symmetric pair of heteroclinic tangencies is implied. In both cases, satisfactory agreement is found between the observed bifurcation sequences and the local theory of homoclinic tangencies. Global branches of mixed-mode orbits are computed. It is discovered that some orbits are generated by either Sil'nikov or figure-of-eight homoclinic orbits to stationary points, whereas others form isolas that feature characteristic towers of saddle-node and period-doubling bifurcations." @default.
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- W2065233782 date "1993-01-01" @default.
- W2065233782 modified "2023-09-23" @default.
- W2065233782 title "Homoclinic tangencies in the dynamics of articulated pipes conveying fluid" @default.
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- W2065233782 doi "https://doi.org/10.1016/0167-2789(93)90293-a" @default.
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