To estimate the potential and electric field generated by any electrode array is very useful in effective tumor destruction. At present, an electrode array that takes into account the ellipsoidal geometry of the solid tumors has not been proposed. We present both analytical and numerical...

Chaotic behavior is a term that is attributed to dynamical systems whose solutions are highly sensitive to initial conditions. This means that small perturbations in the initial conditions can lead to completely different trajectories in the solution space. These types of chaotic dynamical...

We show that dissipative dynamical systems with constant Jacobian allow one to recover numerical values of control parameters under which the system is operating. This is done by performing measurements on self-similar (fractal) structures in phase space. We illustrate parameter recovery...

In this paper, we revisit the famous classical Samuelson's multiplier-accelerator model for national economy. We reform this model into a singular discrete time system and study its solutions. The advantage of this study gives a better understanding of the structure of the model and more deep...

In this work, we reconsider the dynamics of a few versions of the classical Samuelson's multiplier-accelerator model for national economy. First we recall that the classical one with constant governmental expenditure, represented by a linear second-order difference equation, is able to generate...

This paper extends the classical Samuelson multiplier-accelerator model for national economy. Actually, this new modeling structure removes the basic shortcoming of the original model producing stable business cycles when realistic values of the parameters (multiplier, accelerator) are entered...

In this article, we assume a union of countries where each national economy interacts with the others. We propose a new model where (a) delayed variables are incorporated into the system of equations and (b) the interaction element is restricted into the annual governmental expenditure that is...

<span style="font-size: 9.5pt"><span style="font-size: 9.5pt">The article is devoted to the study of global attractors of quasi-linear non-autonomous</span><span style="font-size: 9.5pt">difference equations, in particular we give the conditions for the existence of a compact</span><span style="font-size: 9.5pt">global attractor. The obtained results are applied to the study of a triangular economic</span><div><span style="font-size: 9.5pt; line-height: 115%">growth model recently developed...</span></div></span>

In this paper, a general model is provided to evaluate a stock when the dividend growth rate is a discrete variable. This new dividend valuation model assumes that the dividend growth rate follows a finite state discrete time semi-Markov chain. An important consequence is that prices become...

We generalize the concept of symplectic maps to that of k- symplectic maps: maps whose kth iterates are symplectic. Similarly, k-symmetries and k-integrals are symmetries (resp. integrals) of the kth iterate of the map. It is shown that k-symmetries and k-integrals are related by the...