Analysis of a two-dimensional nonsmooth Poincaré-like map

DOI10.1007/S11071-013-1092-4zbMath1283.34037OpenAlexW2032268819MaRDI QIDQ2439372

Gheorghe Tigan

Publication date: 14 March 2014

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-013-1092-4

zbMATH Keywords

chaosbifurcationsPoincaré mapgrazingimpacting oscillators

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (4)

Computation of the anharmonic orbits in two piecewise monotonic maps with a single discontinuity ⋮ Period-adding and the Farey tree structure in a class of one-dimensional discontinuous nonlinear maps ⋮ Codimension-two grazing bifurcations in three-degree-of-freedom impact oscillator with symmetrical constraints ⋮ Analytical determination for degenerate grazing bifurcation points in the single-degree-of-freedom impact oscillator

Cites Work

• Degenerate discontinuity-induced bifurcations in tapping-mode atomic-force microscopy
• Mappings of grazing-impact oscillators
• Dynamics of an impact oscillator near a degenerate graze
• Unnamed Item

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