A Smooth and Discontinuous Oscillator

Clearly illustrates the nature of nonlinear phenomena by introducing a real mechanical model, the SD oscillator, which offers an effectives model for describing geometrical nonlinearities

Opens a new perspective on the inner workings of the real world through this simple actual mechanical model without any truncation

Offers an opportunity to broaden our conventional nonlinear understanding to the unconventional nonlinear systems with applications in engineering and interdisciplinary areas

Clearly illustrates the nature of nonlinear phenomena by introducing a real mechanical model, the SD oscillator, which offers an effectives model for describing geometrical nonlinearities Opens a new perspective on the inner workings of the real world through this simple actual mechanical model without any truncation Offers an opportunity to broaden our conventional nonlinear understanding to the unconventional nonlinear systems with applications in engineering and interdisciplinary areas Includes supplementary material: sn.pub/extras

Inhalt
Background: Nonlinear Systems.- An Smooth and Discontinuous (SD) Oscillator.- Bifurcation Behaviour.- Periodic Motions of the Perturbed SD Oscillator.- The Exact Solutions.- Chaotic Motions of the SD Oscillator.- Experimental Investigation of the SD Oscillator.- Applications in Structural Dynamics.- Applications in Engineering Isolation.- Challenges and the Open Problems.