An invariant manifold approach for studying waves in a one-dimensional array of nonlinear oscillators

DOI10.1016/S0020-7462(96)00104-7zbMath0906.70019MaRDI QIDQ1369515

Alexander F. Vakakis, Ioannis T. Georgiou

Publication date: 16 February 1999

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

zbMATH Keywords

frequency domainbifurcationsasymptotic analysiseigenfrequencysuccessive approximationsslow manifoldsmall perturbationfoldingstravelling wave solutionMaple Vattenuating zonesfast pendula-dynamicspropagating zonesspring-mass chain

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99) Applications of dynamical systems (37N99)

Related Items (4)

Symplectic analysis for wave propagation in one-dimensional nonlinear periodic structures ⋮ Exact model reduction by a slow-fast decomposition of nonlinear mechanical systems ⋮ Wave propagation properties of one-dimensional acoustic metamaterials with nonlinear diatomic microstructure ⋮ Review of exploiting nonlinearity in phononic materials to enable nonlinear wave responses

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