arXiv subjects

R. N. Mokaev

Publications and source records attributed to R. N. Mokaev.

2 recordsLinked to original sources

arXiv2019

A lower-bound estimate of the Lyapunov dimension for the global attractor of the Lorenz system

In this short report, for the classical Lorenz attractor we demonstrate the applications of the Pyragas time-delayed feedback control technique and Leonov analytical method for the Lyapunov dimension estimation and verification of the Eden's conjecture. The problem of reliable numerical computation of the finite-time Lyapunov dimension along the trajectories over large time intervals is discussed.

nlin.CD↗

arXiv2018

Homoclinic Bifurcations of the Merging Strange Attractors in the Lorenz-like System

In this article we construct the parameter region where the existence of a homoclinic orbit to a zero equilibrium state of saddle type in the Lorenz-like system will be analytically proved in the case of a nonnegative saddle value. Then, for a qualitative description of the different types of homoclinic bifurcations, a numerical analysis of the detected parameter region is carried out to discover several new interesting bifurcation scenarios.

math.DS↗