A New 3-D Multistable Chaotic System with Line Equilibrium: Dynamic Analysis and Synchronization

This work introduces a new 3-D chaotic system with a line of equilibrium points. We carry out a detailed dynamic analysis of the proposed chaotic system with five nonlinear terms. We show that the chaotic system exhibits multistability with two coexisting chaotic attractors. We apply integral sliding mode control for the complete synchronization of the new chaotic system with itself as leader-follower systems.

A simple mean-field model of glassy dynamics and glass transition

We propose a phenomenological model to describe the equilibrium dynamic behavior of amorphous glassy materials.

Deterministic Irreversibility and The Matter Structure

The role of existence of the deterministic irreversibility mechanism in development of evolution physics is studied. The short explanation of physical essence of this mechanism is offered. Based on this mechanism, is proved, that the base element of matter should be an open non-equilibrium dynamic system (ONDS). The principles of the emergence, existence and development of the ONDS hierarchical structure are considered. The questions about hierarchy of the matter and existence of stationary states ONDS are studied. The question, how external constraints determine of the evolution of ONDS, is analyzed. Equations that determine the development of ONDS are submitted.

Non-equilibrium dynamic of a Universe formation

A new stochastic model of dynamic of Universe formation is presented. This model takes into account the interaction of fundamental scalar field with possible multiplicative noise fluctuations of other nature. The noise-induced model of the Universe formation presented in this paper allows to describe its inflationary expansion till the present time. Such expansion can be explained in presented model if one takes into account the non-equilibrium dynamic of a transition into a new stable state.