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Three Types of Static Bifurcation and Control in Infinite Dimensional Dynamical Systems

Tang Jiashi, Han Feng, Zhang Liang, Zhou Mi

Abstract


Burgers equation and two other partial differential equations are reduced to first-order ordinary differential equations with typical bifurcations. The transcritical bifurcation of Burgers equation and the pitchfork and saddle-node bifurcation of other partial differential equations are discussed respectively. The control of transcritical bifurcation for Burgers equation is analyzed.

Keywords


Nonlinear PDE, transcritical bifurcation, pitchfork bifurcation, saddle-node bifurcation, control

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