THE STRUCTURE OF BIFURCATIONS OF CRITICAL POINTS OF A DIFFERENTIAL EQUATION WITH SEVERE NON-LINEARITY .
EL-HAMOULY, H. (1986). THE STRUCTURE OF BIFURCATIONS OF CRITICAL POINTS OF A DIFFERENTIAL EQUATION WITH SEVERE NON-LINEARITY .. EKB Journal Management System, 2(2nd Conference on Applied Mechanical Engineering.), 99-104. doi: 10.21608/amme.1986.57201
HASSAN MOHAMED EL-HAMOULY. "THE STRUCTURE OF BIFURCATIONS OF CRITICAL POINTS OF A DIFFERENTIAL EQUATION WITH SEVERE NON-LINEARITY .". EKB Journal Management System, 2, 2nd Conference on Applied Mechanical Engineering., 1986, 99-104. doi: 10.21608/amme.1986.57201
EL-HAMOULY, H. (1986). 'THE STRUCTURE OF BIFURCATIONS OF CRITICAL POINTS OF A DIFFERENTIAL EQUATION WITH SEVERE NON-LINEARITY .', EKB Journal Management System, 2(2nd Conference on Applied Mechanical Engineering.), pp. 99-104. doi: 10.21608/amme.1986.57201
EL-HAMOULY, H. THE STRUCTURE OF BIFURCATIONS OF CRITICAL POINTS OF A DIFFERENTIAL EQUATION WITH SEVERE NON-LINEARITY .. EKB Journal Management System, 1986; 2(2nd Conference on Applied Mechanical Engineering.): 99-104. doi: 10.21608/amme.1986.57201

THE STRUCTURE OF BIFURCATIONS OF CRITICAL POINTS OF A DIFFERENTIAL EQUATION WITH SEVERE NON-LINEARITY .

The International Conference on Applied Mechanics and Mechanical Engineering
Article 57, Volume 2, 2nd Conference on Applied Mechanical Engineering., May 1986, Pages 99-104    PDF (1019.4 K)
Document Type: Original Article
DOI: 10.21608/amme.1986.57201
Author
HASSAN MOHAMED EL-HAMOULY
DEPARTMENT OF MATHEMATICS - MILITARY TECHNICAL COLLEGE - EGYPT.
Abstract
The critical points of an autonomous differential equation of the second order with severe non-linearity , can have a bifurcation structure in a parameter plane (a,b) , -1Gb <1 , similar to the " box-within-a-box " bifurcation structure . This is shown using a recurrence relation having such a bifurcation structure in (a,b) plane , -1 <b <I .
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