A perturbation-incremental scheme for studying Hopf bifurcation in delayed differential systems

作者: Jian Xu , Kwok Wai Chung

DOI: 10.1007/S11431-009-0052-1

关键词:

摘要: … A new method, called perturbation-incremental scheme (PIS)… at critical value, perturbation and increment for continuation. … the disadvantages of the incremental harmonic balance (IHB) …

参考文章(29)
A. Raghothama, S. Narayanan, Periodic Response and Chaos in Nonlinear Systems with Parametric Excitation and Time Delay Nonlinear Dynamics. ,vol. 27, pp. 341- 365 ,(2002) , 10.1023/A:1015207726565
Jian Xu, Kwok-Wai Chung, Chuen-Lit Chan, An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks Siam Journal on Imaging Sciences. ,vol. 1, pp. 29- ,(2008) , 10.1137/TEST2
Tamás Kalmár-Nagy, Gábor Stépán, Francis C Moon, None, Subcritical Hopf Bifurcation in the Delay Equation Model for Machine Tool Vibrations Nonlinear Dynamics. ,vol. 26, pp. 121- 142 ,(2001) , 10.1023/A:1012990608060
Jack K. Hale, Sjoerd M. Verduyn Lunel, Introduction to Functional Differential Equations ,(1993)
H.S.Y. Chan, K.W. Chung, Z. Xu, A perturbation-incremental method for strongly non-linear oscillators International Journal of Non-linear Mechanics. ,vol. 31, pp. 59- 72 ,(1996) , 10.1016/0020-7462(95)00043-7
Sue Ann Campbell, Jacques Bélair, Toru Ohira, John Milton, Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback Journal of Dynamics and Differential Equations. ,vol. 7, pp. 213- 236 ,(1995) , 10.1007/BF02218819
J. Wu, T. Faria, Y.S. Huang, Synchronization and stable phase-locking in a network of neurons with memory Mathematical and Computer Modelling. ,vol. 30, pp. 117- 138 ,(1999) , 10.1016/S0895-7177(99)00120-X