MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS

DOI10.1142/S0218127412502951zbMath1258.34032OpenAlexW1966885726MaRDI QIDQ4908404

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Publication date: 5 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412502951

zbMATH Keywords

stabilitybifurcationinvariant manifoldaveragingmultiple scalesnonsmooth systemapplication for passive controlnonsmooth NES

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45) Multiple scale methods for ordinary differential equations (34E13)

Related Items (10)

Targeted energy transfer between a system with a set of Saint-Venant elements and a nonlinear energy sink ⋮ Multi-scale energy exchanges between an elasto-plastic oscillator and a light nonsmooth system with external pre-stress ⋮ Analysis of the 1:1 resonant energy exchanges between coupled oscillators with rheologies ⋮ Complex dynamics of a harmonically excited structure coupled with a nonlinear energy sink ⋮ A new hysteretic nonlinear energy sink (HNES) ⋮ Dynamical behavior of a Bouc-Wen type oscillator coupled to a nonlinear energy sink ⋮ Dynamics of a linear system with time-dependent mass and a coupled light mass with non-smooth potential ⋮ Interactions Between Two Coupled Nonlinear Forced Systems: Fast/Slow Dynamics ⋮ Nonlinear oscillations of a pendulum cable with the effects of the friction and the radius of the support ⋮ DYNAMICS OF COUPLED DAHL TYPE AND NONSMOOTH SYSTEMS AT DIFFERENT SCALES OF TIME

Cites Work

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