Cycle-creating bifurcation from a family of equilibria of a dynamical system and its delay |
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| Institution: | 1. Unidad de Investigación para la Generación y Síntesis de Evidencias en Salud, Universidad San Ignacio de Loyola, Lima, Peru;2. Sociedad Científica de Estudiantes de Medicina de la Universidad Nacional de Trujillo-SOCEMUNT, Trujillo, Peru;3. Facultad de Medicina, Universidad Nacional de Trujillo, Trujillo, Peru;4. Universidad Complutense de Madrid, Madrid, Spain;5. Hospital de Melilla, Melilla, Spain;6. Servicio de Neurología, Departamento de Medicina y Oficina de Apoyo a la Docencia e Investigación (OADI), Hospital Daniel Alcides Carrión, Callao, Peru;7. Universidad Científica del Sur, Facultad de Ciencias de la Salud, Lima, Peru;8. Red de Eficacia Clínica y Sanitaria, REDECS, Lima, Peru;1. Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, United States;2. Department of Mathematics, University of Houston, Houston, TX 77004, United States;1. Department of Biology and Pharmacy, Guangxi Key Laboratory of Agricultural Resources Chemistry and Biotechnology, Yulin Normal University, Yulin, 537000, China;2. Department of Pharmacy, Guangdong Province Hospital of Integrated Traditional Chinese and Western Medicine, Foshan, 528200, China;3. Department of Pharmacy, Sir Run Run Shaw Hospital, Zhejiang University School of Medicine, Hangzhou, 310016, China;1. School of Transportation Science and Engineering, Beihang University, Beijing 100191, China;2. CEPREI, Guangzhou 511370, China;3. School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China |
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| Abstract: | For a dynamical system with cosymmetry, a study is made of the bifurcation in which a cycle branches off from an equilibrium in a continuous one-parameter family of equilibria, as the parameter passes through a critical value. Unlike the classical situation that occurs when the equilibrium is isolated, a self-excited oscillatory mode generally branches off with delay relative to the parameter. Another characteristic difference is the possibility of supercritical branching of an unstable limit cycle. |
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