The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy will organize a School on Non-linear Dynamics, Dynamical Transitions and Instabilities in Classical and Quantum Systems, to be held at ICTP, Trieste, Italy, from 14 July to 1 August 2014. The School aims at covering a selection of modern topics at the interface between Condensed Matter Physicsand Statistical Mechanics, classical and quantum, with an emphasis on aspects of non-equilibrium physics: • Steady States, Patterns and Scaling in Driven Systems • Growth Processes • Classical and Quantum Turbulence • Nonlinear Quantum Dynamics • Quantum Gases out of Equilibrium • Numerical Methods out of Equilibrium • Entropy Generation and Transport far from Equilibrium