Add to ORKGABSTRACT: A discrete dynamical system in Euclidean m-space generated by the iterates of an asymptotically zero map f, satisfying |f(x) | → 0 as |x | → ∞, must have a compact global attracting set A. The question of what additional hypotheses are sufficient to guarantee that A has a minimal (invariant) subset A that is a chaotic strange attractor is answered in detail for a few types of asymptotically zero maps. These special cases happen to have many applications (especially as mathematical models for a variety of processes in ecological and population dynamics), some of which are presented as examples and analyzed in considerable detail
AbstractMany papers have been published recently on studies of dynamical processes in which the attr...
Introduction The strange chaotic attractor (ACS) is an important subject in the nonlinear fie...
We study the quasiperiodically driven Hénon and Standard maps in the weak dissipative limit. In the ...
We describe a simple new method that provides instructive insights into the dynamics of chaotic time...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
A paraphrase of Tolstoy that has become popular in the field of nonlinear dynamics is that while all...
AbstractThis paper explores three particular cases of attractors in the three-location one-stock ver...
On the basis of previous works, the strange attractor in real physical systems is discussed. Louweri...
Abstract. We develop a general technique for proving the existence of chaotic attractors for three d...
In this paper we study the properties of expanding maps with a single discontinuity on a closed inte...
We consider attractors for certain types of random dynamical systems. These are skew-product systems...
Abstract. We show that it is possible to devise a large class of skew-product dynamical systems whic...
We study the geometric and topological properties of strange non-chaotic attractors created in non-s...
In this paper, it is found numerically that the previously found hidden chaotic attractors of the Ra...
AbstractMany papers have been published recently on studies of dynamical processes in which the attr...
Introduction The strange chaotic attractor (ACS) is an important subject in the nonlinear fie...
We study the quasiperiodically driven Hénon and Standard maps in the weak dissipative limit. In the ...
We describe a simple new method that provides instructive insights into the dynamics of chaotic time...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
We show that the classic examples of quasi-periodically forced maps with strange nonchaotic attracto...
A paraphrase of Tolstoy that has become popular in the field of nonlinear dynamics is that while all...
AbstractThis paper explores three particular cases of attractors in the three-location one-stock ver...
On the basis of previous works, the strange attractor in real physical systems is discussed. Louweri...
Abstract. We develop a general technique for proving the existence of chaotic attractors for three d...
In this paper we study the properties of expanding maps with a single discontinuity on a closed inte...
We consider attractors for certain types of random dynamical systems. These are skew-product systems...
Abstract. We show that it is possible to devise a large class of skew-product dynamical systems whic...
We study the geometric and topological properties of strange non-chaotic attractors created in non-s...
In this paper, it is found numerically that the previously found hidden chaotic attractors of the Ra...
AbstractMany papers have been published recently on studies of dynamical processes in which the attr...
Introduction The strange chaotic attractor (ACS) is an important subject in the nonlinear fie...
We study the quasiperiodically driven Hénon and Standard maps in the weak dissipative limit. In the ...