A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems |
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| Authors: | XU Jian & CHUNG Kwok Wai School of Aerospace Engineering Applied Mechanics Tongji University Shanghai China |
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| Affiliation: | XU Jian1 & CHUNG Kwok Wai2 1 School of Aerospace Engineering , Applied Mechanics,Tongji University,Shanghai 200092,China,2 Department of Mathematics,City University of Hong Kong Kowloon,Hong Kong |
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| Abstract: | A new method,called perturbation-incremental scheme (PIS),is presented to investigate the periodic solution derived from Hopf bifurcation due to time delay in a system of first-order delayed differential equations.The method is summarized as three steps,namely linear analysis at critical value,perturbation and increment for continuation.The PIS can bypass and avoid the tedious calculation of the center manifold reduction (CMR) and normal form.Meanwhile,the PIS not only inherits the advantages of the method ... |
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| Keywords: | delayed differential equation perturbation-incremental scheme Hopf bifurcation synchronization center manifold |
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