Study of a class of subharmonic motions using a non-smooth temporal transformation (NSTT)

DOI10.1016/S0167-2789(96)00171-6zbMath0898.70012MaRDI QIDQ1349360

Valery N. Pilipchuk, Alexander F. Vakakis, M. A. F. Azeez

Publication date: 5 February 1997

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

heteroclinic orbitanalytical approximationsunstable periodic orbithomogeneous boundary conditionsharmonically forced conservative systemslarge periodpiecewise-linear periodic temporal variablesvibro-impact oscillations

Mathematics Subject Classification ID

Forced motions in linear vibration theory (70J35)

Related Items (6)

Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation ⋮ Non-smooth approximations of the limiting phase trajectories for the Duffing oscillator near \(1:1\) resonance ⋮ Analytical Approach to a Two-Module Vibro-Impact System ⋮ Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 resonance manifold and transient bridging orbits ⋮ Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment ⋮ Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments

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