Bifurcation of Safe Basins and Chaos in Nonlinear Vibroimpact Oscillator under Harmonic and Bounded Noise Excitations

<div>Chaotic area of system (<a href="https://static.hindawi.com/articles/jam/volume-2014/967395/figures/#EEq1">1</a>), —: theoretical solution and <svg height="3.53337pt" id="M60" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -3.48355 25.8561 3.53337" width="25.8561pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M469 201V252H50V201H469Z" id="g190-178"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="520" vert-adv-y="520"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,9.342,0)"><path d="M469 201V252H50V201H469Z" id="g190-178"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="520" vert-adv-y="520"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,18.685,0)"><path d="M469 201V252H50V201H469Z" id="g190-178"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="520" vert-adv-y="520"></glyph.data></g></svg>: numerical solution.</div>

Journal of Applied Mathematics

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Figure 1: Bifurcation of Safe Basins and Chaos in Nonlinear Vibroimpact Oscillator under Harmonic and Bounded Noise Excitations 