USING ENERGY-PHASE METHOD TO STUDY GLOBAL BIFURCATIONS AND SHILNIKOV TYPE MULTIPULSE CHAOTIC DYNAMICS FOR A NONLINEAR VIBRATION ABSORBER

DOI10.1142/S0218127412500010zbMath1270.34128MaRDI QIDQ2843482

Wei Zhang, Minghui Yao, Shuangbao Li

Publication date: 23 August 2013

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

zbMATH Keywords

chaotic dynamicsenergy-phase methodnonlinear vibration absorbershilnikov type multipulse orbits

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical systems involving maps of the circle (37E10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Multiple scale methods for ordinary differential equations (34E13) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Single-pulse chaotic dynamics of functionally graded materials plate ⋮ Multi-pulse chaotic motions of functionally graded truncated conical shell under complex loads ⋮ Dynamics of a rectangular thin plate with lumped mass under harmonic foundation and in‐plane excitations

Cites Work

• On the response of the nonlinear vibration absorber
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• MULTIPULSE SHILNIKOV ORBITS AND CHAOTIC DYNAMICS FOR NONLINEAR NONPLANAR MOTION OF A CANTILEVER BEAM

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