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On certain generalizations of the Hopf bifurcation |
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| Authors: | L Aguirre J H Arredondo R López P Seibert |
| Institution: | (1) Departamento de Matemáticas, Universidad Autónoma Metropolitana – Iztapalapa, San Rafael Atlixco #186, C. P. 09340 México, D. F., Mexico;(2) Departamento de Ingeniería, Tecnología y Ciencias Básicas, Universidad Autónoma de Tlaxcala, Calzada de Apizaquito s/n, km 1.5, C.P. 90300 Apizaco, Tlax., Mexico |
| Abstract: | New sufficient conditions for the existence of generalized Hopf bifurcations are given in the context of asymptotically compact dynamical or semidynamical systems on a metric space. These conditions weaken the hypotheses of previous contributions to the subject. Mathematics Subject Classification (2000) 34K18, 74H60 |
| Keywords: | Bifurcations Semidynamical systems Total stability |
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