Oscillation and convergence behaviors exhibited in an ‘unstable’ second-order digital filter with saturation-type nonlinearity

Ling, Wing-Kuen and Ho, Charlotte Yuk-Fan and Leung, Raymond Shing-Keung and Tam, Peter Kwong-Shun (2004) Oscillation and convergence behaviors exhibited in an ‘unstable’ second-order digital filter with saturation-type nonlinearity. International Journal of Circuit Theory and Applications, 32 (2). pp. 57-64. ISSN 0098-9886

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Abstract

This letter explains the oscillatory behaviors exhibited in a second-order digital filter with saturation-type nonlinearity via the Hopf bifurcation theorem. It is shown that depending on the bifurcation parameter, the state variables may converge to zero even when the eigenvalues of the system matrix are outside the unit circle.

Item Type:Article
Additional Information:This letter explains the oscillatory behaviors exhibited in a second-order digital filter with saturation-type nonlinearity via the Hopf bifurcation theorem. It is shown that depending on the bifurcation parameter, the state variables may converge to zero even when the eigenvalues of the system matrix are outside the unit circle.
Keywords:second-order digital filter, saturation-type nonlienarity, Hopf bifurcation theorem
Subjects:H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:3061
Deposited By:INVALID USER
Deposited On:06 Aug 2010 13:20
Last Modified:13 Mar 2013 08:43

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