Tallinn University of Technology
Department of Cybernetics
Laboratory of Solid Mechanics
Nonlinear Dynamics
For TalTech students who are taking Nonlinear Dynamics course (YFX1560). The lecture notes, handouts of slides, and other resources can be found here (use, modify and distribute under CC BY 4.0 licence). Personal consultation can be arranged at my office on Wednesdays and Fridays (office hours: don't forget to schedule the meeting in advance).
Lecture notes, handouts, and other resources

Topics covered during a typical semester and course grading criteria.
Indices of the numerical files (nb#i) and refereed papers (Paper#i) linked below.
Course Moodle page (grades and discussion forum).

Notes Slides Notebooks Demonstrations Other
Lecture 1: Notes Slides nb#1, nb#2, nb#3 Chaotic pendulum:
Flyer, video#1,
video#2, video#3 		Handout
Lecture 2: Notes Slides nb#1
Lecture 3: Notes Slides nb#1, nb#2, nb#3 Over-damped bead on a rotating hoop: video Read#1
Lecture 4: Notes Slides nb#1, nb#2 Classification of f.p.s (systems)
Lecture 5: Notes Slides nb#1, nb#2, nb#3, nb#4, nb#5
Lecture 6: Notes Slides nb#1, nb#2, nb#3, nb#4, nb#5 Phase portrait of a pendulum Paper#1
Lecture 7: Notes Slides (91 MB),
Slides (no media) 		nb#1, nb#2, nb#3, nb#4, nb#5, nb#6, nb#7 Classification of bifurcations
Lecture 8: Notes Slides (43 MB),
Slides (no media) 		nb#1, nb#2, nb#3, nb#4, nb#5, nb#6, nb#7, nb#8 Trefoil knot,
Cinquefoil knot 		Coursework requirements, Paper#1, Coursework analysis tool.nb, Coursework analysis tool.mlx
Lecture 9: Notes Slides (8 MB),
Slides (no media) 		nb#1, nb#2, nb#3, nb#4, nb#5, nb#6, nb#7, nb#8, nb#9 Double pendulum,
Möbius strip 		Paper#1, Paper#2
Lecture 10: Notes Slides (9 MB),
Slides (no media) 		nb#1, nb#2, nb#3, nb#4, nb#5, nb#6 Handout, Paper#1, Paper#2, Paper#3
Lecture 11: Notes Slides (63 MB),
Slides (no media) 		nb#1, nb#2, nb#3, nb#4, nb#5, nb#6, nb#7 Paper#1
Lecture 12: Notes Slides (13 MB),
Slides (no media) 		nb#1, nb#2, nb#3, nb#4, nb#5, nb#6, nb#7, nb#8, nb#9 Pizza dough kneading Paper#1
Lecture 13: Notes Slides (49 MB),
Slides (no media) 		nb#1, nb#2, nb#3, nb#4, nb#5, nb#6 Classification of f.p.s (maps)
Lecture 14: Notes Slides (151 MB),
Slides (no media) 		nb#1, nb#2, nb#3, nb#4, nb#5, nb#6, nb#7, nb#8 Synchronised clapping: video Paper#1
Lecture 15: Notes Slides (144 MB),
Slides (no media) 		Kalliroscope,
Chaotic pendulum 		Exam: Revision questions, Practice exam
Lecture (i): Slides (13 MB)
The .nb files linked above can be opened with free Wolfram Player, Wolfram Mathematica or free Wolfram Cloud service. The Wolfram Player allows one to explore the files but does not allow to modify or execute the code. Videos embedded into the .pdf files of the lecture slides can be played back using Adobe Acrobat Reader software.
Coursework assignments

Coursework variant assignments and evaluation results

Variant 1 Variant 4 Variant 7 Variant 10 Variant 13 Variant 16 Variant 19
Variant 2 Variant 5 Variant 8 Variant 11 Variant 14 Variant 17 Variant 20
Variant 3 Variant 6 Variant 9 Variant 12 Variant 15 Variant 18 Variant 21

Coursework variants compiled into a single .pdf file and coursework requirements

NB! Completed coursework should be sent to Lecturer D. Kartofelev via e-mail (dmitri.kartofelev[at]taltech.ee) or in person before or after the lectures. Deadline for submitting the coursework is 20.12.2024.
Coursework: Analysis tools
Acknowledgments
Creation of the above study aids was supported by: HITSA Information Technology Foundation for Education, Project EITSA 20007, “Erialaste digipädevuste arendamine ja e-õppevara loomine täppisteadustes” (IT Akadeemia e-õppe arendusprojekt täppisteadustes, 2020).

Nonlinear Dynamics, YFX1560