We carried out a fluid dynamical simulation for a forced dripping faucet system using a new algorithm that was recently developed. The simulation shows that periodic external forcing induces transitions from chaotic to periodic motion and vice versa. We further constructed an improved mass-sprig model for the same system on the basis of data obtained from the fluid dynamical computations. A det...

This paper proposes a method to construct one-dimensional discrete chaotic system. First, we define generalized distance function control the boundedness of Based on Marotto’s theorem, systems are proven be in sense Li–Yorke, and corresponding chaos criterion theorem is proposed. The system can distributed uniformly by adjusting parameters. In this paper, propose an image encryption scheme base...

We investigate a discrete-time Chen system. First, we give the topological classifications of fixed points this Then, analytically show that discrete system underlies Neimark–Sacker (NS) bifurcation and period doubling (PD) under specific parametric circumstances. confirm existence PD NS via explicit PD-NS criterion determine direction both bifurcations with help center manifold theory. perform...

In this paper, a chaotic three dimansional dynamical system is proposed, that modification of the in Volos et al. (2017). The new has two hyperbolic sine nonlinear terms, as opposed to original only included one, order optimize system’s behavior, which confirmed by calculation maximal Lyapunov exponents and Kaplan-Yorke dimension. experimentally realized, using Bi-color LEDs emulate functions. ...

In this paper, the parameter-switching technique was applied to control chaos in Chen oscillator and as a decryption mechanism secure transmission system, transmit RGB grayscale images. past few decades, considerable efforts have been put into study of stabilization chaotic dynamical systems. Most well-known methods, such Ott, Grebogi, Yorke (OGY), Pyragas, open-loop force an unstable periodic ...

In this paper, the authors investigate the anti-synchronization of chaotic Pan, Lorenz, and Lu systems and anti-synchronization of Liu and Cai systems. Global exponential synchronization of Pan, Lorenz, Lu, Liu, and Cai chaotic systems are established by using Lyapunov stability theory. Numerical simulations are performed to illustrate the effectiveness of the proposed synchronization schemes f...

‎In this text we prove that in generalized shift dynamical system $(X^Gamma,sigma_varphi)$‎ ‎for finite discrete $X$ with at least two elements‎, ‎infinite countable set $Gamma$ and‎ ‎arbitrary map $varphi:GammatoGamma$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system $(X^Gamma,sigma_varphi)$ is‎ Li-Yorke chaotic;‎ - the dynamical system $(X^Gamma,sigma_varphi)$ has‎ an scr...

We study the existence of snap-back repellers, hence the existence of transversal homoclinic orbits in a discrete-time neural network. Chaotic behaviors for the network system in the sense of Li and Yorke or Marotto can then be concluded. The result is established by analyzing the structures of the system and allocating suitable parameters in constructing the fixed points and their pre-images f...