When people estimate a numeric value after judging whether it is larger or smaller than a high or low anchor value (comparative question), estimates are biased in the direction of the anchor. One explanation for this anchoring effect is that people selectively access knowledge consistent with the anchor value as part of a positive test strategy. Two studies (total N = 184) supported the alterna...

It is well known that the environment degradation has come along the time positioning as one of the main problems from modern world. Among several questions of the environmental interest the methane bubble rise in the lakes can be emphasized, from the anoxic sediment in the bottom of lake until water interface atmosphere. In particular, the present academic work has come to treat mathematic mod...

Fuzzy Cognitive Maps (FCMs) have been proposed to represent causal reasoning by using numeric processing. They graphically represent uncertain causal reasoning. In the resonant states, there emerges a limit cycle or a hidden pattern, which is a FCM inference. However, there are some shortcomings concerned with knowledge representation in the conventional FCMs. In this paper, we propose Extended...

This work presents the temperature control of a nonlinear batch reactor with constrains in the manipulated variable by means of adaptive feedback-based iterative learning control (ILC). The strong nonlinearities together with the constrains of the plant can lead to a non-monotonic convergence of the l2-norm of the error, and still worse, an unstable equilibrium signal e∞(t) can be reached. By n...

A Kolmogorov-type cascade of Kelvin waves-the distortion waves on vortex lines-plays a key part in the relaxation of superfluid turbulence at low temperatures. We propose an efficient numeric scheme for simulating the Kelvin-wave cascade on a single vortex line. This idea is likely to be generalizable for a full-scale simulation of different regimes of superfluid turbulence. With the new scheme...

The paper combines analytic and numeric tools to investigate a nonlinear optimal control problem relevant to the economics of climate change. The problem describes optimal investments into pollution mitigation and environmental adaptation at a macroeconomic level. The steady-state analysis of this problem focuses on the optimal ratio between adaptation and mitigation. In particular, we analytic...

-In this paper we present an approach for the reduced order modeling of nonlinear power systems. We describe a combined symbolic-numeric methodology for a local model order reduction which is based on the theory of singularly perturbed systems. Since the properties of power systems are taken into account, we were able to define an easy to use formula which eliminates the necessity of engineerin...

In this paper, a dynamic model is presented to describe the behavior of glucose concentration, Saccharomyces, and ethanol concentration during batch fermentation process. The desired product of batch alcohol fermentation is ethanol. The form of this mathematical model is nonlinear differential equation systems. The equilibrium point stability of the dynamic model is discussed. Further, simulati...

The paper presents a new complex dynamic modeling of multi-phase asynchronous motors and investigates the Field-Oriented control applied to this type of machines. The new dynamic model is obtained in the state space using a complex rectangular transformation. The obtained model is complex, reduced-order and takes into account also the odd harmonic injection of the motor. The Field-Oriented cont...

In this paper, we propose a novel method of interactive fluid simulating based on SPH, and implement it on CUDA (Compute Unified Device Architecture). Firstly we use SPH (Smoothed Particle Hydrodynamics) theory to simulate the motion of fluids. Secondly we propose an interactive method between fluid and rigid objects. We treat the rigid objects as two different types, static one and dynamic one...