Kovacic, IvanaBrennan, Michael J. [UNESP]2022-04-282022-04-282011-03-03The Duffing Equation: Nonlinear Oscillators and their Behaviour, p. 277-322.http://hdl.handle.net/11449/219947Two nonlinear asymmetric systems are described in this chapter. The first is a pure cubic nonlinear oscillator with a constant and a harmonic force acting on it, associated with a vibration isolator. The second is a hanging cable which the asymmetry is caused by gravity. Both of these systems have a single-well potential. The equations of motion can be written in such a way that they include a quadratic and cubic nonlinearity, and only a harmonic forcing term. Different analytical and numerical approaches are used to study and illustrate the rich dynamics of the systems. © 2011 John Wiley & Sons, Ltd. All rights reserved.277-322engAsymmetryChaosHysteresisPeriod-doubling bifurcationSaddle-node bifurcationSingle-well potentialCapítulo de livro10.1002/9780470977859.ch82-s2.0-84886061506