Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control

<div>Bifurcation diagrams and its corresponding Lyapunov exponents for <svg height="9.92533pt" id="M169" style="vertical-align:-1.57651pt" version="1.1" viewbox="-0.0498162 -8.34882 45.8962 9.92533" width="45.8962pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M401 397C401 420 368 448 302 448C245 448 169 416 122 377C62 327 23 254 23 169C23 45 83 -12 181 -12C252 -12 323 29 374 85L358 107C305 62 257 43 210 43C147 43 110 98 110 189V214L313 208L321 256L115 250C132 342 190 405 253 405C291 405 323 389 346 360C356 348 364 348 377 357C392 367 401 384 401 397Z"></path></g><g transform="matrix(.013,0,0,-0.013,9.145,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.408,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 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Journal of Control Science and Engineering

fig11

Figure 11

Figure 11: Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control 