Hopf bifurcation of integro-differential equations
A. Domoshnitsky, The College of Judea and Samaria, Ariel, Israel E. J. Qualitative Theory of Diff. Equ., Proc. 6'th Coll. Qualitative Theory of Diff. Equ., No. 3. (2000), pp. 1-11.
Ya. Goltser, The College of Judea and Samaria, Ariel, Israel
| Communicated by L. Hatvani. | Appeared on 2000-01-01 |
Abstract: A method reducing integro-differential equations (IDEs) to system of ordinary ones is proposed. On this base stability and bifurcation phenomena in critical cases are studied. Analog of Hopf bifurcation for scalar IDEs of first order is obtained. Conditions of periodic solution existence are proposed. One of the conclusions is the following: phenomena characterized by two dimension systems of ODEs appear for scalar IDEs.
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