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RISSynchronized Periodic Solutions of a Class of Periodically Driven Nonlinear Oscillators
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We consider a class of parametrically driven nonlinear oscillators: ẍ + k1 x + k2 f(x,ẋ)P(Ωt) = 0, P(Ωt + 2π) = P(Ωt)(*) which can be used to describe, e.g., a pendulum with vibrating ...
Existence and Stability of Localized Oscillations in 1-Dimensional Lattices With Soft-Spring and Hard-Spring Potentials
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we use the method of homoclinic orbits to study the existence and stability of discrete breathers, i.e., spatially localized and time-periodic oscillations of a class of ...