‎in the following text for arbitrary $x$ with at least two elements‎, ‎nonempty countable set $gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(x^gamma,sigma_varphi)$ where $varphi:gammatogamma$ is an arbitrary self-map‎. ‎we pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding devaney‎, ‎exact dev...

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...

We extend the theory of quasipotentials in dynamical systems by calculating an exact potential for the critical fluctuations of pitchfork bifurcations of period-doubling maps in the weak noise limit. These far-from-equilibrium fluctuations are described by finite-size mean field theory, placing their static properties in the same universality class as the Ising model on a complete graph. We dem...

The discrete dynamics of a dissipative nonlinear model neuron with self-interaction is discussed. For units with self-excitatory connection hysteresis effects, i.e. bistability over certain parameter domains, are observed. Numerical simulations demonstrate that self-inhibitory units with non-zero decay rates exhibit complex dynamics including period doubling routes to chaos. These units may be ...

A very simple nonlinear parallel forced LCR circuit is proposed as Balamurugan-Sengodan-Daniel (BSD) circuit includes linear inductors, capacitor, locally active resistor and a diode driven by a sinusoidal voltage source. By varying the amplitude of the external signal, we identify the familiar quasiperiodic routes to chaos as well as period doubling sequences, windows, and so on. The performan...

The application of chaos in communications and radar offers new and interesting possibilities. This article describes investigations on the generation of chaos in a traveling wave tube !TWT" amplifier and the experimental parameters responsible for sustaining stable chaos. Chaos is generated in a TWT amplifier when it is made to operate in a highly nonlinear regime by recirculating a fraction o...

The development of computerized systems in the financial industry facilitated the growth of the stock exchange market for institutional and private investors. Paperless settlement systems for stocks and bonds were first introduced in the Nordic region. The successful introduction of the new infrastructure for the securities markets was the result of solid cooperation between market participants...

In this paper, the nonlinear dynamics of a novel model based on optically pumped spin-polarized vertical-cavity surface-emitting lasers (spin-VCSELs) with optical feedback is investigated numerically. Due to being external disturbance component, complex dynamical behaviors can be enhanced and regions different in size extended appropriate parameters spin-VCSELs. According equations modified spi...