Nonlinear features of the superconductor-ferromagnet-superconductor φ Josephson junction in the ferromagnetic resonance region.

We demonstrate the manifestations of nonlinear features in magnetic dynamics and - characteristics of a φ Josephson junction in the ferromagnetic resonance region. We show that at small values of the system parameters damping, spin-orbit interaction, and Josephson-to-magnetic energy ratio, the magnetic dynamics is reduced to the dynamics of a scalar Duffing oscillator driven by the Josephson oscillations. The role of the increasing superconducting current in the resonance region is clarified.

Analysis of chimera states as drive-response systems.

Chimera states are spatiotemporal segregations - stably coexisting coherent and incoherent groups - that can occur in systems of identical phase oscillators. Here we demonstrate that this remarkable phenomenon can also be understood in terms of Pecora and Carroll's drive-response theory. By calculating the conditional Lyapunov exponents, we show that the incoherent group acts to synchronize the coherent group; the latter playing the role of a response.

Orientational ordering and dynamics of rodlike polyelectrolytes.

The interplay between electrostatic interactions and orientational correlations is studied for a model system of charged rods positioned on a chain, using Monte Carlo simulation techniques. It is shown that the coupling brings about the notion of electrostatic frustration, which in turn results in: (i) a rich variety of orientational orderings such as chiral phases, and (ii) an inherently slow dynamics characterized by stretched-exponential behavior in the relaxation functions of the system.