Nonlinear dynamics of complex systems:

• chaos and synchronization

• controlling chaos

• spatio-temporal dynamics

• pattern formation

• chaos and communications

• prediction and identification

Neurodynamics:

• dynamical models of neurons and neural networks

• neurodynamical control systems

• neurocomputing

• information dynamics

Dynamical and information processes in living systems:

• control of microprocesses by wave fields

• nonlinear wave methods of tomography of biological objects

Fundamental atomic and plasma processes in high-intensity optical fields:

• ionization, particle acceleration, X-ray generation, relativistic nonlinear phenomena
  
  

Extreme states of matter:

• wave phenomena in matter at ultrahigh energy density

• ultrafast phase transitions

• laboratory astrophysics

Attosecond physics:

• generation

• measurement

• optical phenomena at attosecond time scale

Nonlinear optics with few-cycle and single-cycle pulses

Ultrafast dynamics of atomic and molecular processes in physical, chemical,
and biological systems

Quantum control with intense ultrashort pulses

Dynamical and stochastic processes in the upper ocean: 

• waves, flows, and turbulence
  
  

Nonlinear dynamical processes in the near-Earth space:

• atmospheric dynamics

• thunderstorm electricity

• wave-particle interactions

• MHD waves and current sheets

Wave phenomena in complex solids:

• nonlinear mesoscopic elasticity

• structural aspects of wave propagation in rocks

Natural and human-made hazards:

• nonlinear wave aspects