naa a22 4500 510760716 CHVBK 20180411083138.0 cr unu---uuuuu 180411e20130101xx s 000 0 eng 10.1007/s13163-012-0099-6 doi (NATIONALLICENCE)springer-10.1007/s13163-012-0099-6 Hopf bifurcation via the Poincaré procedure in delay-differential equations with two delays [Elektronische Daten] [M. Hbid, E. Sánchez, R. Ouifki] In this work we apply the theory of h-asymptotic stability related to the Poincaré procedure to establish sufficient conditions for the existence of a Hopf bifurcation for a delayed differential equation with two constant delays, considering one of the delays as a parameter. An explicit calculation of the Poincaré constant G 4 is provided. Revista Matemática Complutense, 2012 Two-delay differential equation nationallicence Hopf bifurcation nationallicence h -Asymptotic stability nationallicence Poincaré constant nationallicence Hbid M. Laboratoire de Mathématiques et Dynamique des Populations, Faculté des Sciences, Université Cadi Ayyad, UMI-UMMISCO (IRD-UPMC), Unité Associée au CNRST (URAC02), Bd. du Prince Moulay Abdellah, BP2390, Marrakech, Morocco aut Sánchez E. Dpto. Matemática Aplicada, E.T.S. Ingenieros Industriales, c. José Gutiérrez Abascal, 2, 28006, Madrid, Spain aut Ouifki R. DST/NRF Centre of Excellence in Epidemiological Modelling and Analysis (SACEMA), Stellenbosch University, 19 Jonkershoek Road, 7600, Stellenbosch, South Africa aut Revista Matemática Complutense Springer Milan 26/1(2013-01-01), 193-213 1139-1138 26:1<193 2013 26 13163 https://doi.org/10.1007/s13163-012-0099-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-012-0099-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hbid M. Laboratoire de Mathématiques et Dynamique des Populations, Faculté des Sciences, Université Cadi Ayyad, UMI-UMMISCO (IRD-UPMC), Unité Associée au CNRST (URAC02), Bd. du Prince Moulay Abdellah, BP2390, Marrakech, Morocco aut NATIONALLICENCE 700 1- Sánchez E. Dpto. Matemática Aplicada, E.T.S. Ingenieros Industriales, c. José Gutiérrez Abascal, 2, 28006, Madrid, Spain aut NATIONALLICENCE 700 1- Ouifki R. DST/NRF Centre of Excellence in Epidemiological Modelling and Analysis (SACEMA), Stellenbosch University, 19 Jonkershoek Road, 7600, Stellenbosch, South Africa aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/1(2013-01-01), 193-213 1139-1138 26:1<193 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer