Dynamic Bifurcations : Hysteresis, Scaling Laws and Feedback Control

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概要

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• We review some properties of dynamical systems with slowly varying parameters, when a parameter is moved through a bifurcation point of the static system.Bifurcations with a single zero eigenvalue may create hysteresis cycles, whose area scales in a nontrivial way with the adiabatic parameter.Hopf bifurcations lead to the delayed appearance of oscillations.Feedback control theory motivates the study of a bifurcation with double zero eigenvalue, in which this delay is suppressed.

• 理論物理学刊行会の論文
• 2000-07-14

著者

• Berglund N.

  School Of Physics Georgia Institute Of Technology

• BERGLUND N.

  School of Physics, Georgia Institute of Technology

関連論文

• Dynamic Bifurcations : Hysteresis, Scaling Laws and Feedback Control

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