V. Manasson has applied dissipative chaos theory to particle physics, deriving a simple relation between the fine structure constant and Feigenbaum delta constant. It is presented a preon model based on Manasson's theory. The model is intended as a naive toy one, as it makes use of unjustified assumptions, as e.g. the possibility of the existence of neither fermionic nor bosonic particles in 3+...

This paper provides an easily verifiable sufficient condition for topological chaos for unimodal maps which can be satisfied when the well-known Li Yorke condition is not satisfied. It then shows how this result can be applied to a model of endogenous growth with externalities to establish the existence of chaotic equilibrium growth paths in that framework. Journal of Economic Literature Classi...

By using stochastic calculus for two-parameter processes and chaos expansion into multiple Wiener-Itô integrals, we define a 2D-stochastic current over the Brownian sheet. This concept comes from geometric measure theory. We also study the regularity of the stochastic current with respect to the randomness variable in the Watanabe spaces and with respect to the spatial variable in the determini...

We present a method in which a chaotic signal is used to mask a message securely. It depends on separating the two tasks of synchronizing the chaotic oscillators and encrypting the message. A sporadic drive together with a function f of the ciphertext and response system variables is used to make extraction difficult. We give a choice of f that makes the method similar to a one-time pad, with p...

We have studied the effects of quantum fluctuations on dynamical behavior by using squeezed state approach. Our numerical results of the kicked harmonic oscillator demonstrate qualitatively and quantitatively that quantum fluctuations can not only enhance chaos but also suppress classical diffusion. In addition, the squeezed state approach also gives a simple picture of dynamical localization. ...

We study kicked quantum systems by using the squeezed state approach. Taking the kicked quantum harmonic oscillator as an example, we demonstrate that chaos in an underlying classical system can be enhanced as well as suppressed by quantum fluctuations. Three different energy diffusions are observed in the kicked quantum harmonic oscillator, namely, localization, linear diffusion, and quadratic...

the efficiency and robustness of reliability methods are two important factors in first order reliability method (form). the conjugate choice control (ccc) and directional chaos control method (dcc) were developed to improve the robustness and efficiency of form formula using the stability transformation method. in this paper, the ccc and dcc methods are applied for reliability analysis of a co...

The eigenmode spectrum is a fundamental starting point for the analysis of plasma stability and the onset of turbulence, but the characterization of the spectrum even for the simplest plasma model, ideal magnetohydrodynamics (MHD), is not fully understood. This is especially true in configurations with no continuous geometric symmetry, such as in a real tokamak when the discrete nature of the e...

‎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...

Chaos-based image encryption schemes are applied widely for their cryptographic properties. However, chaos and relations remain a challenge. The chaotic systems defined on the set of real numbers then normalized to small group integers in range 0–255, which affects security such cryptosystems. This paper proposes an system developed using deep learning realize secure efficient transmission medi...