The random-walk (white-noise) model and the harmonic model are two polar models in linear systems. A model in between is color chaos, which generates irregular oscillations with a narrow frequency (color) band. Time-frequency analysis is introduced for evolutionary time-series analysis. The deterministic component from noisy data can be recovered by a time-variant filter in Gabor space. The cha...

The random-walk (white-noise) model and the harmonic model are two polar models in linear systems. A model in between is color chaos, which generates irregular oscillations with a narrow frequency (color) band. Time-frequency analysis is introduced for evolutionary time-series analysis. The deterministic component from noisy data can be recovered by a time-variant filter in Gabor space. The cha...

-In this paper a two dimensional chaotic modulator is proposed, based on an electronic controlled Colpitts Oscillator. The modulator is capable of producing constellations of distinct chaotic patterns in a bifurcation diagram, by creating pairs of specific characteristic values. Key-Words: Chaos, Colpitts Oscillator, Modulator, Voltage Controled Oscilator.

Implementing the Generalized Alignment Index (GALI) method of chaos detection we investigate dynamical behavior nonlinear disordered Klein-Gordon lattice chain in one spatial dimension. By performing extensive numerical simulations single site and mode initial excitations, for several realizations different disorder strengths, determine probability to observe chaotic as system is approaching it...

In this paper, we observed the ordinary differential equation (ODE) system and determined equilibrium points. To characterize them, used existing theory developed to visualize behavior of system. We describe bifurcation that appears, which is characteristic higher-dimensional systems, when a fixed point loses its stability without colliding with other Although it difficult determine whole serie...

Analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. Thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. This paper compares the performance of chaos theory with Anfis model and discusses ...

The geodesic flow of any Riemannian metric on a geodesically convex surface of negative Euler characteristic is shown to be semi-equivalent to that of any hyperbolic metric on a homeomorphic surface for which the boundary (if any) is geodesic. This has interesting corollaries. For example, it implies chaotic dynamics for geodesic flows on a torus with a simple contractible closed geodesic, and ...

We present a general analysis of instabilities and oscillations of the sequential tunneling current in superlattices, based on the current-voltage characteristic of a single barrier. Our results depend only on the presence of a negative differential resistance region and are independent of the details of the model. We establish general conditions for the existence of a stable oscillatory region...

Adapting a method developed for the study of quantum chaos on quantum (metric) graphs [1], spectral ζ functions and trace formulae for discrete Laplacians on graphs are derived. This is achieved by expressing the spectral secular equation in terms of the periodic orbits of the graph, and obtaining functions which belongs to the class of ζ functions proposed originally by Ihara [2], and expanded...

in this research prediction methods of artificial neural network and chaos theory are employed to predict daily, weekly and monthly runoff. for this, runoff series data observed at pole-kohneh located in the qareh-soo river. the nonlinear predictions of chaos are found to be in close agreement with the observed runoff, with high correlation coefficient for daily and weekly time scales. predicte...