Πλοήγηση ανά Συγγραφέα "Zachilas, L."
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Complex Dynamics in Non-linear Real Estate Models
Gkana, A.; Zachilas, L.; Arvanitidis, P. (2013)In the present paper we study the complex dynamics of non-linear cobweb models of real estate markets in discrete time. Our model incorporates two sub-markets, land and housing, interacting with each other. We start by ... -
Examining the Chaotic Behavior in Dynamical Systems by Means of the 0-1 Test
Zachilas, L.; Psarianos, I. N. (2012)z We perform the stability analysis and we study the chaotic behavior of dynamical systems, which depict the 3-particle Toda lattice truncations through the lens of the 0-1 test, proposed by Gottwald and Melbourne. We prove ... -
Incorporating prey refuge in a prey-predator model with a Holling type I functional response: random dynamics and population outbreaks
Gkana, A.; Zachilas, L. (2013)A prey-predator discrete-time model with a Holling type I functional response is investigated by incorporating a prey refuge. It is shown that a refuge does not always stabilize prey-predator interactions. A prey refuge ... -
Non-overlapping Generation Species: Complex Prey-Predator Interactions
Gkana, A.; Zachilas, L. (2015)In this paper we study a prey-predator dynamical system suitable for species having no overlap between successive generations. Assuming that population evolves in discrete-time steps we investigate the prey refuge effect ... -
Nonlinear supply and demand model with two interrelated markets
Zachilas, L.; Gkana, A. (2011)Our target in this paper is to observe how the presence of nonlinear terms in the supply and demand model changes the price behavior of the system. The dynamical analysis refers, mainly, to discrete dynamical systems. We ... -
On the Verge of a Grand Solar Minimum: A Second Maunder Minimum?
Zachilas, L.; Gkana, A. (2015)We analyze the yearly mean sunspot-number data covering the period 1700 to 2012. We show that the yearly sunspot number is a low-dimensional deterministic chaotic system. We perform future predictions trying to forecast ... -
A REVIEW STUDY OF THE 3-PARTICLE TODA LATTICE AND HIGHER ORDER TRUNCATIONS: THE EVEN-ORDER CASES (PART II)
Zachilas, L. (2010)We complete the study of the numerical behavior of the truncated 3-particle Toda lattice (3pTL) with even truncations at orders n = 2k, k = 2,...,10. We use (as in Part I): (a) the method of Poincare surface of section, ... -
A REVIEW STUDY OF THE 3-PARTICLE TODA LATTICE AND HIGHER-ORDER TRUNCATIONS: THE ODD-ORDER CASES (PART I)
Zachilas, L. (2010)The numerical behavior of the truncated 3-particle Toda lattice (3pTL) is reviewed and studied in more detail (than in previous papers) and at higher energies (at odd-orders n <= 9). We further extended our study to higher ... -
THE STRUCTURE OF PHASE SPACE CLOSE TO FIXED POINTS IN A 4D SYMPLECTIC MAP
Zachilas, L.; Katsanikas, M.; Patsis, P. A. (2013)We study the dynamics in the neighborhood of fixed points in a 4D symplectic map by means of the color and rotation method. We compare the results with the corresponding cases encountered in galactic type potentials and ... -
Sunspot numbers: Data analysis, predictions and economic impacts
Gkana, A.; Zachilas, L. (2015)We analyze the monthly sunspot number (SSN) data from January 1749 to June 2013. We use the Average Mutual Information and the False Nearest Neighbors methods to estimate the suitable embedding parameters. We calculate the ...