NONLINEAR DYNAMICS

Course Information
TitleΜΗ-ΓΡΑΜΜΙΚΗ ΔΥΝΑΜΙΚΗ / NONLINEAR DYNAMICS
CodeΜΥΠ731
FacultySciences
SchoolPhysics
Cycle / Level2nd / Postgraduate
Teaching PeriodSpring
CommonNo
StatusActive
Course ID40000196

Programme of Study: PPS Computional Physics (2014-today)

Registered students: 6
OrientationAttendance TypeSemesterYearECTS
KORMOSElective Courses217.5

Class Information
Academic Year2018 – 2019
Class PeriodSpring
Faculty Instructors
Instructors from Other Categories
Weekly Hours3
Class ID
600133668
Type of the Course
  • Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Knowledge in Mathematics and Physics
Learning Outcomes
Knowledge of nonlinear systems and some of their numeruous applications in Physics and biology.
General Competences
  • Apply knowledge in practice
  • Work autonomously
  • Work in teams
  • Advance free, creative and causative thinking
Course Content (Syllabus)
flows and mappings, state space, invariant sets equilibrium points of flows and fixed points of mappings Linearized system stability and invariant manifolds Local bifyrcations of equilibrium points and fixed points. saddle-node bifurcation, transcritical,pitchfork. Hopf chaos, definition of chaos chaotic invariant sets, chaotic atractors Homoclinic and heteroclinic orbits, Melnikov's theory Smale horseshoe Fractals, Julia sets the mandelbrot set fractal dimention Applications of nonlinear systems Logistic map Epidemiology model Lorenz equations Duffing's equation Josephson junctions
Keywords
Nonlinear systems, chaos
Educational Material Types
  • Notes
  • 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
Programs in Mathematica e-mails
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures391.3
Total391.3
Student Assessment
Description
Problems for solution, presentation of a project
Student Assessment methods
  • Performance / Staging (Summative)
  • Written Exam with Problem Solving (Formative)
Bibliography
Additional bibliography for study
Steven H. Strogatz Nonlinear dynamics and chaos Perseus publishing Devaney An introduction to chaotic dynamical systems Addison Wesley John Guckenheimer, Philip Holmes Nonlinear oscillations, Dynamical systems and bifurcatios of vector fields Springer-Verlag
Last Update
20-09-2013