@article{AhlersPikovskij2002,
  author    = {Ahlers, Volker and Pikovskij, Arkadij},
  title     = {Critical Properties of the Synchronization Transition in Space-Time Chaos},
  year      = {2002},
  abstract  = {We study two coupled spatially extended dynamical systems which exhibit space-time chaos. The transition to the synchronized state is treated as a nonequilibrium phase transition, where the average synchronization error is the order parameter. The transition in one-dimensional systems is found to be generically in the universality class of the Kardar- Parisi-Zhang equation with a growth-limiting term ("bounded KPZ"). For systems with very strong nonlinearities in the local dynamics, however, the transition is found to be in the universality class of directed percolation.},
  language  = {en}
}
@article{PikovskijZaikindelaCasa2002,
  author    = {Pikovskij, Arkadij and Zaikin, Alexei A. and de la Casa, M. A.},
  title     = {System Size Resonance in Coupled Noisy Systems and in the Ising Model},
  year      = {2002},
  abstract  = {We consider an ensemble of coupled nonlinear noisy oscillators demonstrating in the thermodynamic limit an Ising-type transition. In the ordered phase and for finite ensembles stochastic flips of the mean field are observed with the rate depending on the ensemble size. When a small periodic force acts on the ensemble, the linear response of the system has a maximum at a certain system size, similar to the stochastic resonance phenomenon. We demonstrate this effect of system size resonance for different types of noisy oscillators and for different ensembles{\`u}lattices with nearest neighbors coupling and globally coupled populations. The Ising model is also shown to demonstrate the system size resonance.},
  language  = {en}
}
@article{NeumannPikovskij2002,
  author    = {Neumann, Eireen and Pikovskij, Arkadij},
  title     = {Quasiperiodically driven Josephson junctions : strange nonchaotic attractors, symmetries and transport},
  year      = {2002},
  language  = {en}
}
@article{StarkFeudelGlendinningetal.2002,
  author    = {Stark, J. and Feudel, Ulrike and Glendinning, P. A. and Pikovskij, Arkadij},
  title     = {Rotation numbers for quasi-periodically forced monotone circle maps},
  issn      = {1468-9367},
  year      = {2002},
  language  = {en}
}
@article{OsipovPikovskijKurths2002,
  author    = {Osipov, Grigory V. and Pikovskij, Arkadij and Kurths, J{\"u}rgen},
  title     = {Phase Synchronization of Chaotic Rotators},
  year      = {2002},
  abstract  = {We demonstrate the existence of phase synchronization of two chaotic rotators. Contrary to phase synchronization of chaotic oscillators, here the Lyapunov exponents corresponding to both phases remain positive even in the synchronous regime. Such frequency locked dynamics with different ratios of frequencies are studied for driven continuous-time rotators and for discrete circle maps. We show that this transition to phase synchronization occurs via a crisis transition to a band-structured attractor.},
  language  = {en}
}
@article{RosenblumPikovskijKurthsetal.2002,
  author    = {Rosenblum, Michael and Pikovskij, Arkadij and Kurths, J{\"u}rgen and Osipov, Grigory V. and Kiss, Istvan Z. and Hudson, J. L.},
  title     = {Locking-based frequency measurement and synchronization of chaotic oscillators with complex dynamics},
  year      = {2002},
  language  = {en}
}