 Dynamics of complex systems  the control and synchronisation of the dynamics systems with different numbers of degrees of freedom, the influence of the fracatl structure on stochastic resonance in chaotic systems
 Evolving networks  phase transitions in scalefree networks, the "smallworld" effect in random graphs and evolving networks, transportation networks
 Dynamics of thin liquid layer  linear stability analysis of thin liquid layers with a surface velocity gradient
 Deterministic chaos  time series analysis, noise level estimation in data, noise level reduction in time series
 Implementation of physics in economics and sociology  generalisation of ...., social networks evolution with a strong leader, percolation models of economical phenomena.
