Πλοήγηση ανά Συγγραφέα "Andreadis, I."
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A fractional Brownian motion model for time series produced by constant temperature molecular dynamics simulations
Karakasidis, T. E.; Andreadis, I. (2002)In the present work we performed an analysis of time series of instantaneous temperature and pressure produced during constant temperature molecular dynamics. Simulations were applied to a nickel oxide grain boundary for ... -
A homogenous random fractal model for time series produced by constant energy molecular dynamics simulations
Karakasidis, T.; Andreadis, I. (2003)In the present work we present an analysis of time series of instantaneous temperature and pressure produced during microcanonical (constant energy) molecular dynamics (MD). Simulations were applied to a nickel oxide grain ... -
Noise perturbation of the thermostat in constant temperature molecular dynamics simulations
Andreadis, I.; Karakasidis, T. E. (2004)In this work we study the effects of noise applied on the thermostat in the case of the constant temperature molecular dynamics simulations. We consider the cases of additive and or multiplicative noise. We then examine ... -
ON A CLOSENESS OF THE JULIA SETS OF NOISE-PERTURBED COMPLEX QUADRATIC MAPS
Andreadis, I.; Karakasidis, T. E. (2012)In the present work, we extend the results of the study of the structural stability of the Julia sets of noise-perturbed complex quadratic maps in the presence of dynamic and output noise both for the additive and the ... -
On a numerical approximation of the boundary structure and of the area of the Mandelbrot set
Andreadis, I.; Karakasidis, T. E. (2015)Based on the boundary scanning method, a partition of the boundary of the Mandelbrot set is defined. The various classes of points of the boundary according to their divergence from the interior and the exterior of the ... -
On a topological closeness of perturbed Julia sets
Andreadis, I.; Karakasidis, T. E. (2010)In the present work we expand our previous work in [1] by introducing the Julia Deviation Distance and the Julia Deviation Plot in order to study the stability of the Julia sets of noise-perturbed Mandelbrot maps. We observe ... -
On a topological closeness of perturbed Mandelbrot sets
Andreadis, I.; Karakasidis, T. E. (2010)In the present work we propose a numerical and visual tool for the study of the deformation of the Mandelbrot sets of perturbed Mandelbrot maps by noise in comparison with the original Mandelbrot set. Further, by employing ... -
On numerical approximations of the area of the generalized Mandelbrot sets
Andreadis, I.; Karakasidis, T. E. (2013)In the present work, the area of the generalized Mandelbrot sets is defined as the double limit of the areas of the plotted generalized Mandelbrot sets in a given square lattice, using the finite escape algorithm, while ... -
On perturbations of the Mandelbrot map
Argyris, J.; Andreadis, I.; Karakasidis, T. E. (2000)In this work, we propose new applications of analytic and non-analytic perturbations of the Mandelbrot map as expressed in a two-parameter deformation family of it. The influence of alternative applications of noise for ... -
On probabilistic Mandelbrot maps
Andreadis, I.; Karakasidis, T. E. (2009)In this work, we propose a definition for a probabilistic Mandelbrot map in order to extend and support the study initiated by Argyris et al. [Argyris J, Andreadis I, Karakasidis Th. On perturbations of the Mandelbrot map. ... -
On the Julia set of the perturbed Mandelbrot map
Argyris, J.; Karakasidis, T. E.; Andreadis, I. (2000)In this work, we present numerical results which support the smooth decomposition method of the generalized Julia set by Peintge et al., in the case of other perturbations of the Mandelbrot map studied in our previous work ... -
On the Julia set of the perturbed Mandelbrot map (vol 11, pg 2067, 2001)
Argyris, J.; Karakasidis, T. E.; Andreadis, I. (2001) -
On the Julia sets of a noise-perturbed Mandelbrot map
Argyris, J.; Karakasidis, T. E.; Andreadis, I. (2002)In the present work we present numerical results which support further a 2 " -type bifurcation scenario for the interior of the Fatou sets, as suggested by the smooth decomposition method introduced by Peinke, Parisi, ...