Double Hopf Bifurcation in Microbubble Oscillators with Delay Coupling

<div>Simulated solution of Equation (<a href="https://static.hindawi.com/articles/amp/volume-2020/8059037/figures/#EEq2">2</a>) for <svg height="11.439pt" id="M228" style="vertical-align:-2.15067pt" version="1.1" viewbox="-0.0498162 -9.28833 190.532 11.439" width="190.532pt" 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="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.658,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.921,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 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equilibrium (0 0 0 0) is asymptotically stable.</div>

Advances in Mathematical Physics

fig6

Figure 6

Figure 6: Double Hopf Bifurcation in Microbubble Oscillators with Delay Coupling 