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Clone of Clone of Clone of Clone of Clone of Clone of Clone of Clone of Clone of Introduction to real dynamical systems with applications

cours CIMPA

Jorge Mozo Fernández

Summary: The idea of this course is to give an introduction to the theory of real dynamical systems from scratch, focusing on the main elements of qualitative theory: equilibria, periodic orbits, limit cycles, … An outline of the contents is as follows:

  1. Systems of differential equations: existence and uniqueness theorems.
  2. Dynamical systems. Phase spaces. Classical examples: Logistic equations, predator – prey systems, Lotka- Volterra, …
  3. Linear dynamical systems. Types of equilibria.
  4. Non-linear dynamical systems. Topological and analytic equivalence of singular points.
  5. Stability. Lyapunov functions.
  6. Periodic solutions. Poincaré-Bendixon Theorem. Stability of periodic orbits. Limit cycles.
  7. Applications.
Organizing institute
CIMPA
Institute
International Centre for Mathematics in Ukraine
Country
Ukraine
City
Kiev
Level of the audience/possible candidates
Master or higher educational level
Type
CIMPA course
Free cost event
Yes
Dates
-
Deadline

Procédure de candidature

CIMPA courses are primarily intended for students from the host institute.