Hidden attractors represent a new interesting topic in the chaos literature. These attractors have a basin of attraction that does not intersect with small neighborhoods of any equilibrium points. Oscillations in dynamical systems can be easily localized numerically if initial conditions from its open neighborhood lead to a long-time oscillation. This paper reviews several types of new rare chaotic flows with hidden attractors. These flows are divided into to three main groups: rare flows with no equilibrium, rare flows with a line of equilibrium points, and rare flows with a stable equilibrium. In addition we describe a novel system containing hidden attractors
The attraction basin of hidden attractors does not intersect with small neighborhoods of any equilib...
The paper illustrates the application of the method of complete bifurcation groups (MCBG) and the co...
The problems of the global dynamics of nonlinear systems, described by discrete equations, are under...
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and engineering...
Abstract:- The classical attractors of Lorenz, Rössler, Chua, Chen, and other widely-known attracto...
Of the eight types of hyperbolic equilibrium points in three-dimensional flows, one is overwhelmingl...
Localization of hidden attractors is one of the most challenging tasks in the nonlinear dynamics due...
In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thu...
This paper studies the hidden dynamics of a class of two-dimensional maps inspired by the Hénon map....
In this paper, it is found numerically that the previously found hidden chaotic attractors of the Ra...
Rare phenomena in Nonlinear Dynamics are very important and fascinating field of Nonlinear Dynamics ...
The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are...
The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are...
In this participation we discuss the possibility of mutual fusion of evolutionary algorithms and det...
PublishedJournal ArticleThis paper studies the hidden dynamics of a class of two-dimensional maps in...
The attraction basin of hidden attractors does not intersect with small neighborhoods of any equilib...
The paper illustrates the application of the method of complete bifurcation groups (MCBG) and the co...
The problems of the global dynamics of nonlinear systems, described by discrete equations, are under...
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and engineering...
Abstract:- The classical attractors of Lorenz, Rössler, Chua, Chen, and other widely-known attracto...
Of the eight types of hyperbolic equilibrium points in three-dimensional flows, one is overwhelmingl...
Localization of hidden attractors is one of the most challenging tasks in the nonlinear dynamics due...
In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thu...
This paper studies the hidden dynamics of a class of two-dimensional maps inspired by the Hénon map....
In this paper, it is found numerically that the previously found hidden chaotic attractors of the Ra...
Rare phenomena in Nonlinear Dynamics are very important and fascinating field of Nonlinear Dynamics ...
The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are...
The investigations of hidden attractors are mainly in continuous-time dynamic systems, and there are...
In this participation we discuss the possibility of mutual fusion of evolutionary algorithms and det...
PublishedJournal ArticleThis paper studies the hidden dynamics of a class of two-dimensional maps in...
The attraction basin of hidden attractors does not intersect with small neighborhoods of any equilib...
The paper illustrates the application of the method of complete bifurcation groups (MCBG) and the co...
The problems of the global dynamics of nonlinear systems, described by discrete equations, are under...