Tantárgy adatlapja
Tárgy neve: Nonlinear Dynamical Systems
Tárgy kódja: P-ITEEA-0037
Óraszám: N: 2/2/0, L: 0/0/0
Kreditérték: 5
Az oktatás nyelve: angol
Követelmény típus: Kollokvium
Felelős kar: ITK
Felelős szervezeti egység: Pázmány Péter Katolikus Egyetem Információs Technológiai és Bionikai Kar
Tárgyfelelős oktató:
Dr. Polcz Péter
Tárgyleírás:
Content of the course: Basic concepts of the theory of continuous time and discrete time dynamical systems (induced by ordinary differential equations and continuous mappings, respectively): well-posedness of problems in differential equations, linearization near hyperbolic equilibria, stability and attraction for compact invariant sets, structural stability and bifurcations, chaos and fractals with indicators and applications, synchronization between two chaotic Chua circuits, elements of time-series analysis.
Objective of the course: Dynamical systems as a basic model for describing spatiotemporal processes, their numerics, and related computer exercises. In addition to basic concepts of nonlinear dynamics, the emphasis is laid on error estimates between exact and approximate solutions, on the preservation of qualitative properties of the dynamics by numerical approximations as well as on developing a critical attitude to results provided by the computer.
