Torus doublings and chaotic amplitude modulations in a two degree-of- freedom resonantly forced mechanical system

DOI10.1016/0020-7462(90)90003-RzbMath0732.70016OpenAlexW2067960972MaRDI QIDQ808743

S. Tousi, Anil K. Bajaj

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0020-7462(90)90003-r

zbMATH Keywords

chaotic attractorresonanceamplitude modulated motionstwo degrees-of-freedomweakly nonlinear vibratory system

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (5)

Torus bifurcations in a mechanical system ⋮ Steady-state chaotic responses of a class of linear vibration absorbers ⋮ On the motion of harmonically excited spring pendulum in elliptic path near resonances ⋮ Chaotic responses of a harmonically excited spring pendulum moving in circular path ⋮ Nonlinear oscillations of a coupled autoparametrical system with ideal and nonideal sources of power

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