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2 Acta Physica Polonica A

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Transitions to Chaos and Chaos Synchronization for Solitons in the Presence of Spatially Inhomogeneous Forces

100%

Fronczak P. , Hołyst J.

tom 101

nr 4

465-476

Motion of kink solitons in the φ^4 model in the presence of external spatially inhomogeneous forces is studied. Depending on the system parameters various routes to chaos, i.e. Feigenbaum's scenario, type-I intermittency, and chaos-chaos intermittency are observed. Synchronization of chaotic solitons is investigated.

Emotional Agents at the Square Lattice

80%

Czaplicka A. , Chmiel A. , Hołyst J.

nr 4

688-694

We introduce and investigate by numerical simulations a number of models of emotional agents at the square lattice. Our models describe the most general features of emotions such as the spontaneous emotional arousal, emotional relaxation, and transfers of emotions between different agents. Group emotions in the considered models are periodically fluctuating between two opposite valency levels and as result the mean value of such group emotions is zero. The oscillations amplitude depends strongly on probability p_{s} of the individual spontaneous arousal. For small values of relaxation times τ we observed a stochastic resonance, i.e. the signal to noise ratio SNR is maximal for a non-zero p_{s} parameter. The amplitude increases with the probability p of local affective interactions while the mean oscillations period increases with the relaxation time τ and is only weakly dependent on other system parameters. Presence of emotional antenna can enhance positive or negative emotions and for the optimal transition probability the antenna can change agents emotions at longer distances. The stochastic resonance was also observed for the influence of emotions on task execution efficiency.