In our previous paper, it was confirmed that the unstable periodic orbit embedded in the chaotic attractor in magneto-elastic beam system can be stabilized by delayed feedback control experimentally. It seems an advantage that the control method does not require any exact model of the system. However, the application of the control raises the problem that we cannot predict the stabilized unstab...

Hyperbolic systems of dissipative type, contracting the phase space volume, manifest robust attractors. There are several classes of discrete time systems which produce hyperbolic nontrivial attractor – like the Plykin attractors [P] or the Smale attractors [KH]. Recently, Kuznetsov [K] proposed a continuous model for which there is a good numerical evidence of the existence of an uniformly hyp...

We study a free interface problem related to combustion of condensed matter and some non-equilibrium exothermal phase transitions. In spite of a variety of non-trivial dynamical scenarios exhibited by the model the solutions are uniformly bounded and the interface velocity is a smooth function. The main result of the paper establishes existence of a compact connected attractor for the classical...

We consider infinite Prandtl number convection with rotation which is the basic model in geophysical fluid dynamics. For the rotation free case, the rigorous analysis has been provided by Park [15, 16, 17] under various boundary conditions. By thoroughly investigating We prove in this paper that the solutions bifurcate from the trivial solution u = 0 to an attractor ΣR which consists of only on...

In this paper we propose a resilient scheme for multi-path routing using a biologically-inspired attractor selection method. The main advantage of this approach is that it is highly noise-tolerant and capable of operating in a very robust manner under changing environment conditions. We will apply an enhanced attractor selection model to multi-path routing in overlay networks and discuss some g...

Detection of a singleton attractor, which is also called a fixed point, is known to be NP-hard even for AND/OR BNs (i.e., BNs consisting of AND/OR nodes), where the Boolean network (BN) is a mathematical model of genetic networks and singleton attractors correspond to steady states. In our recent paper, we developed an O(1.787) time algorithm for detecting a singleton attractor of a given AND/O...

The authors investigated semantic neighborhood density effects on visual word processing to examine the dynamics of activation and competition among semantic representations. Experiment 1 validated feature-based semantic representations as a basis for computing semantic neighborhood density and suggested that near and distant neighbors have opposite effects on word processing. Experiment 2 conf...

A fundamental problem with the modeling of chaotic time series data is that minimizing short-term prediction errors does not guarantee a match between the reconstructed attractors of model and experiments. We introduce a modeling paradigm that simultaneously learns to short-term predict and to locate the outlines of the attractor by a new way of nonlinear principal component analysis. Closed-lo...

We perform a stationary state replica analysis for a layered network of Ising spin neurons, with recurrent Hebbian interactions within each layer, in combination with strictly feedforward Hebbian interactions between successive layers. This model interpolates between the fully recurrent and symmetric attractor network studied by Amit el al, and the strictly feed-forward attractor network studie...

The long-term unprcdictability associated with chaos may be undesirable in certain settings. Ott, Grebogi, and Yorke (Phys. Rev. Lett. 1990.64, 1196) have recently proposed a method by which any of the infinite number of unstable periodic orbits embedded within a strange attractor can be, in principle, stabilized through small, controlled perturbations of a system constraint. This method is app...