|
HU Credits:
2
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Physics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Baruch Meerson
Coordinator Office Hours:
set appointment
Teaching Staff:
Prof Baruch Meerson
Course/Module description:
Fixed points and linear stability analysis. Nonlinear oscillator. Resonance in a nonlinear oscillator. Auto-oscillations: limit cycle. Local bifurcations in one and two dimensions. Chaos in the Henon- Heiles Hamiltonian. Kicked rotor and standard map. The logistic map and its relatives. Fractals. Fractal dimension. Lyapunov exponents and chaotic attractors.
Course/Module aims:
On successful completion of this module, students should be able to analyze nonlinear dynamical systems, including those exhibiting deterministic chaos.
Learning outcomes - On successful completion of this module, students should be able to:
On successful completion of this module, the students should be able to analyze nonlinear dynamical systems, including those exhibiting deterministic chaos.
Attendance requirements(%):
100
Teaching arrangement and method of instruction:
A series of lectures given by the students themselves under guidance of the instructor
Course/Module Content:
Fixed points and linear stability analysis. Nonlinear oscillator. Resonance in a nonlinear oscillator.
Auto-oscillations: limit cycle. Local bifurcations in one and two dimensions. Chaos in the Henon-
Heiles Hamiltonian. Kicked rotor and standard map. Logistic map and its relatives. Fractals.
Fractal dimension. Lyapunov exponents and chaotic attractors.
Required Reading:
Individual for each student, depending on the subject of his/her lecture
Additional Reading Material:
None
Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 100 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
None
|
