We analyze pattern formation in doubly resonant intracavity second-harmonic generation in the presence of competing nondegenerate parametric downconversion. We show that for positive cavity detuning of the fundamental frequency the threshold for parametric oscillation is lower than that of transverse, pattern forming instabilities. The parametric oscillation strongly modifies the pattern dynami...

While the Irish Constitution is not untypical among world constitutions in robustly protecting family against external interference, it does so untypically strident terms. The opening subsec...

We investigate the impact of cyclic competition on pattern formation in the rock-paper-scissors game. By separately considering random and prepared initial conditions, we observe a critical influence of the competition rate p on the stability of spiral waves and on the emergence of biodiversity. In particular, while increasing values of p promote biodiversity, they may act detrimentally on spat...

We present a comprehensive study of pattern formation in single-field relaxational systems with field-dependent coefficients. A modulated mean-field theory leads to a form amenable to analysis via the geometric architecture developed in our earlier work for systems that exhibit phase transitions between global steady states [Phys. Rev. E 69, 011102 (2004)]. We demonstrate that the phase diagram...

The most intimate relationship between a state and its citizens is manifested in the acquisition of land for public interest. This article aims to analyze comparative constitutional norms governing Utilizing doctrinal writing methodology with approach, it was discovered that among five nations whose constitutions were compared, only Indonesia did not explicitly regulate interest within constitu...