Worlds in a Computer Models of Reality and Reality of Models

Prof. Ruslan Davidchack

School of Computing and Mathematics Sciences

Speaker Bio：

Prof. Ruslan Davidchack’s research interests are in developing computational methods and tools for applications in molecular simulations nonlinear dynamics and signal processing.

Molecular simulation: Structural and dynamic properties of solid-liquid interfaces; calculating free energy of solid-liquid interfaces; estimating thermodynamic errors of numerical integrators for molecular dynamics.

Nonlinear dynamics: Methods for locating unstable periodic orbits in chaotic dynamical systems; symbolic dynamics generating partitions and homoclinic tangencies in non-hyperbolic chaotic systems; transition to chaos with multiple positive Lyapunov exponents (sometimes called ""hyper-chaos""); chaotic transitions in semiconductor lasers subject to delayed optical feedback. 

Measurements and data processing: Analog representation of a measurement process; Implementation of nonlinear filters for continuous measurement processes.

Lecture Review:

Prof. Ruslan introduced that in scientific research, computers can assist in data processing and analysis, solving equations, computer simulation, visualization of mathematical objects and some mathematical proofs, and emphasized the application of computer simulation in testing models and theories.