طريقة التربيعات الصغرى لايجاد المساحات الماصة لدوال المستوي التربيعية == Least Square Method for Finding Absorbing Areas of Planar Quadratic Maps
Author name:
مهند نافع جعفر
Supervisor name:
زينب عبد النبي سلمان
General topic:
Mathematics
Specific topic:
Dynamic Systems
Degree:
Master
University:
Al-Nahrain University - College Of Science - Department Of Mathematics
Language:
English
University location:
Baghdad
Key words:
- المساحات الماصة
- منحنيات الحرجة
- معادلات التربيعية.
First pages:
27T1086 - p.pdf
Abstract:
First objective : introduce the mathematical background of the main notions and proposition on the theory of the dynamical system. Specifically we shall foucus our study on planar nonivertiable continuously differentiable maps T : 22. Definitionof critical curves and some different types of noninvertible maps related to their critical curves and some properties of critical curves are presented.Second objective : we have studied some properties of such kind of maps in particular absorbing areas, invariant areas of such maps. Also, we give proposed algorithm to approximate the equations of the critical curves LCi which cause find an approximated absorbing and invariant areas such as least square method. Third objective : give some illustrative examples that use the proposed algorithm to find an approximated absorbing.
