Ankit Gupta: Catalogue data in Autumn Semester 2018

Name Dr. Ankit Gupta
Address
Dep. Biosysteme
ETH Zürich, BSS J 13.1
Klingelbergstrasse 48
4056 Basel
SWITZERLAND
E-mailankit.gupta@bsse.ethz.ch
DepartmentBiosystems Science and Engineering
RelationshipLecturer

NumberTitleECTSHoursLecturers
636-0118-00LIntroduction to Dynamical Systems with Applications to Biology4 credits3GM. H. Khammash, A. Gupta
AbstractMany physical systems are dynamic and are characterized by internal variables that change with time. Describing the quantitative and qualitative features of this change is the topic of dynamical systems theory. Dynamical systems arise naturally in virtually all scientific disciplines including physics, biology, chemistry and engineering. This course is a broad introduction to the topic dynamical s
ObjectiveThe goal of this course is to introduce the student to dynamical systems and to develop a solid understanding of their fundamental properties. The theory will be developed systematically, focusing on analytical methods for low dimensional systems, geometric intuition, and application examples from biology. Computer simulations using matlab will be used to demonstrate various concepts
ContentA dynamical view of the world; the importance of nonlinearity; solutions of differential equations; solving equations on the computer; the phase plane; fixed points and stability; linear stability analysis; classifications of linear systems; Liapunov functions and nonlinear stability; cycles and oscillations; bifurcations and bifurcation diagrams. Many biological examples will be used through the course to demonstrate the concepts
Lecture notesWill be provided as needed.
LiteratureStrogatz, S. H. (2018). Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering. CRC Press.

Segel, L. A., & Edelstein-Keshet, L. (2013). A Primer in Mathematical Models in Biology (Vol. 129). SIAM.
Prerequisites / NoticePrerequisites: Calculus; a first course in differential equations; basic linear algebra (eigenvalues and eigenvectors). Matlab programming.