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, Page 99-104 PDF (1019.4 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/amme.1986.57201 | ||||
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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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