Title ΧΑΟΤΙΚΗ ΔΥΝΑΜΙΚΗ / Chaotic Dynamics Code ΓΘΕ212 Faculty Sciences School Physics Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Efthymia Meletlidou Common No Status Active Course ID 600014058

### Programme of Study: UPS of School of Physics (2012-today)

Registered students: 122
OrientationAttendance TypeSemesterYearECTS
CoreGeneral Electives744

 Academic Year 2019 – 2020 Class Period Winter Faculty Instructors Efthymia Meletlidou 39hrs Weekly Hours 3 Class ID 600150601
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
Digital Course Content
Language of Instruction
• Greek (Instruction, Examination)
Prerequisites
Required Courses
• ΜΑΥ201 Mathematics I
• ΜΑΥ202 Applied Mathematics I
Learning Outcomes
1. They will know one dimensional maps and the logistic map. 2. The will have learned about chaow and its significance in our lifes. 3. They will be able to find the fixed pointsw of a non linear map . 4. They will be able to linearize around fixed points of a two dimesional map and find the solution. 5. They will perceive the transverse intersections of the stable and unstable manifolds of a sadle fixed point and how this leads to chaos.
General Competences
• Make decisions
• Work autonomously
• Advance free, creative and causative thinking
Course Content (Syllabus)
One dimensional maps, fixed poinds, periodic points, the logistic map, definition of chaos, propertiew pf chaos, Bernoulli shift and the proof that it is chaotic, the Cantor set of the middle third, two dimensional maps, fixed points and their stability, from the linear to the non linear system, transversal intersections of the stable and the unstable manifolds of a saddle, the creation of a Smale horseshoe, and the appearance of chaos, the Smale horseshoe.
Educational Material Types
• Slide presentations
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Communication with Students
Description
I am ysing a laptop in some of the lectures to show certain complicated figures. Moreover the students comunicate with me through e-mail.
Course Organization