نظرية الفوضى Chaos theory
كــــــــلــــيــــــة : التربية قـــــــــــســـــــم : قسم الرياضيات
الفصل الدراسي: الــمــســتــــوى : الفرقة الثالثة
كـــــود المقـرر : 09317Mat توصيف المقرر :       ▼
المحتوى العلمي:  Basic concepts -Introduction to Chaos with examples from natural phenomena - Basics iteration, iteration rules, orbit, seed, fixed point, cycle time, series, graphs - Linear Iteration Numerical examples, fates of orbits, fixed points, matching orbits and time- series graphs - Graphical Iteration Finding fate of an orbit graphically, sketching the graph of given rule, matching orbits, time-series and graphical iteration. Orbits for linear iteration rules - Non-linear Iteration Quadratic rules, graphic, representation types of fixed points, a logistic function, bifurcation - Chaos Histograms, random seeds, the critical orbit, time- series and histograms, the butterfly effects, population dynamics, effects of round off, patterns of Chaos, unpredictability, sensitivity and initial conditions - Cycles and non-linear iteration The logistic iteration rule. Finding cycles, the Chaotic logistic iteration rule - Graphing higher iterant