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    Exam 9.9.21 starting 9 am.

    Exam will be held remotely on September 9 starting at 9 am and ending at 12 am. Solutions can be submitted until 12:30 pm. The exam will be uploaded in Section 'Exam 9.9.21' on the left panel of this main page. See instructions therein. This will be an open-book exam. In case of problems you can give me a ring, +358 50 512 4356. 

    All lectures and exercise sessions will be held remotely. The first lecture will be on Jan 13 and the first exercise session on Jan 21.

    Instructions on how to join lectures in Zoom

    Via web browser

    https://aalto.zoom.us/j/66274147035 

    or in Zoom type the meeting ID 662 7414 7035

    All course material will be available online. From this year on we will start including also some numerical exercises in the assignments in addition to graphical/analytical ones.

    Exercise sessions

    Join zoom meeting: https://aalto.zoom.us/j/65023450793

    Meeting ID: 650 2345 0793

    Overview

    Nonlinear dynamics is relevant in the fields of brain dynamics, population and social dynamics, mathematical biology, physics, electrical engineering, and many more. Recently, machine learning methods have been applied to nonlinear dynamics. 

    The course covers the fundamental concepts and tools  for solving systems involving  nonlinear dynamics. Emphasis is on the qualitative graphical outlining of the solutions for the problems whose detailed analytical solutions are typically overwhelming or downright impossible. Still, even this level of solving requires some familiarity with differential equations and linear algebra. We will cover the material and do the exercises at a pace that gives everyone the chance to brush up the required pieces of mathematics. This year we will also have some numerical exercises.

    The Course book is Steven Strogatz: Nonlinear Dynamics and Chaos can be found under Materials. 

    Solutions to the weekly returned exercises will be uploaded after exercise sessions.

    Lecturer: Riku Linna

    Assistant: Pauliina Kärkkäinen

    Learning Outcomes

    After completing the course the student will have an understanding of  the basic  classes  of nonlinear systems and will be able to analyse them using analytic and diagrammatic methods. Based on these skills he/she will be able to solve these systems also numerically (although numerical methods will be in minor role in this course). The student will have an understanding of how and why a dynamical system becomes chaotic. He/she will understand fundamental characteristics of chaotic systems and how they are modelled.

    Prerequisites

    Roughly first-year mathematics.

    Grading

    The grade (1-5) will be determined by an exam. Doing the assignments is voluntary but highly recommendable. 20% of lost exam points can be compensated by points gathered from assignments. See further details under Assignments. There will be 10 lectures and 10 rounds of assignments.

    Credits

    5 ECT.

    Note

    Due to the covid pandemic the only option for returning solutions to assignments is to upload them in MyCourses. It is preferred that returned solutions are in pdf format. I f a scanner is not available to you, a good alternative is Adobe Scan app available for mobile phones.





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      Exam June 4 Kansio
      Saatavilla vasta, kun: You are a(n) Opettaja

      Scan your pen and paper solutions and do the numerical problem in Jupyter notebook. Return these in the folder Exam Submission on the main page below this folder.

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      Exam Submission Tehtävä

      Return the exam solutions, scanned pen and paper solutions and a Jupiter note books here by 12.45.

      In case of problems send me e-mail or call (050 512 4356).