After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …

In this treatment of random dynamical systems, we consider the existence—and
identification—of conditional independencies at nonequilibrium steady-state. These …

The dynamical system without equilibrium point is considered having hidden dynamics. It is
relatively difficult to locate the attractor in the state space as its attraction basin has nothing …

In contrast to the coexistence of infinitely many pseudo and true singularly degenerate
heteroclinic cycles with nearby two-scroll hyperchaotic Lorenz-like attractors coined in four …

A central theme of theoretical neurobiology is that most of our cognitive operations require
processing of discrete sequences of items. This processing in turn emerges from continuous …

Based on Shil'nikov criterion, ie, extending the number of unstable saddle-focus-type
equilibria of chaotic system, a rich and varied multiwing chaos with complicated topology …

In recent decades, Chua's attractor has been taken as the classical paradigm for chaos
demonstration, but it still presents some new results one after another. Hidden Chua's …

In this research work, the convective flow of Lorenz attractor in the fractional domain is
modeled with a nonlinear flexible structure of radial basis neural network (RBNN). The …

This paper reports a new 3D sub-quadratic Lorenz-like system and proves the existence of
two pairs of heteroclinic orbits to two pairs of nontrivial equilibria and the origin, which are …

Little seems to be considered about the globally exponentially asymptotical stability of
parabolic type equilibria and the existence of heteroclinic orbits in the Lorenz-like system …