Group of  Nonlinear Dynamics & Complex Systems

| Introduction| Research fields | Faculties | Research staff | Visitors | Publications | Seminar Info.| Links |

Research Fields

Microscopic  chaos and macroscopic transport:

Ø        Heat conduction in low dimensional systems

Ø        Transport in mesoscopic (nano-scale) systems

²         Electron transport in hybrid mesoscopic structures

²         Electron transport in an incommensurate quantum system

Time evolution of the displacement of the 1D Fermi-Pasta-Ulam model  

Stadium billiard
quantum stationary wave functions

Wavelet controlled dynamics showing the transition from chaos to periodicity.

Quantum Chaos and Quantum Computer & Computing

Ø        Quantum Manifestation of Classical Chaos I: Energy level spacing statistics

Ø        Quantum Manifestation of Classical Chaos II: Statistical properties of statinoary wavefunctions

Ø        Quantum Manifestation of Classical Chaos III: Dynamical evolution of states

Ø        Quantum fidelity (quantum Loschmidt echo) and chaos

Foundamentals of Chaos

Ø        Statistical shadowing

Chaos Control, Synchronization  & Communications

Ø        Tailoring wavelets for chaos control

Ø        Controlling flow turbulence

Ø        Secure communication of spatiotemporal chaos

Nonlinear time series analysis

Ø        Weak signal detection in a nonstationary nvironment

Ø        Prediction and predictability of chaotic time series