Hopf bifurcation and chaos in a third-order phase-locked loop
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- 作者：José ; Roberto C. Piqueira piqueira@lac.usp.br" class="auth_mail" title="E-mail the corresponding author
- 关键词：Filter ; Loop gain ; Lyapunov exponent ; Structural instability ; Synchronization
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：42
- 期：Complete
- 页码：178-186
- 全文大小：638 K
文摘
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Hopf bifurcation theorem is applied to the design of PLLs.
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A lock-in region of the parameter space is delimited by using local linearization.
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Limit cycle resulting from Hopf bifurcation is stable preventing synchronization.
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A route to chaos is presented originated in the Hopf bifurcation.