Oscillations and noise drive many processes in biology, but how both affect the activity of the transcription factor nuclear factor κB (NF-κB) is not understood. Here, we observe that when NF-κB oscillations are entrained by periodic tumor necrosis factor (TNF) inputs in experiments, NF-κB exhibits jumps between frequency modes, a phenomenon we call "cellular mode-hopping." By comparing stochas...

We consider the spectral form factor of random unitary matrices as well as of Floquet matrices of kicked tops, as given by the (squared moduli of) the traces tn = TrF n with the integer “time” n = 0,±1,±2, . . .. For a typical matrix F the time dependence of the form factor |tn| 2 looks erratic; only after a local time average over a suitably large time window ∆n does a systematic time dependen...

We study a simple, nonautonomous, three-dimensional, incompressible flow corresponding to sequentially active two-dimensional rolls with distinct axes. A feature of the model is that an analytical map is obtained. We show that when the roll axes are orthogonal, motion is confined to two-dimensional topological spheres. The dynamics on each surface ranges from nearly regular to largely chaotic. ...

Liquid microdroplets represent a convenient system for studies of mixing by chaotic advection in discrete microscopic volumes. The mixing properties of the flows in microdroplets are governed by their symmetries, which give rise to invariant surfaces serving as barriers to transport. Complete three-dimensional mixing by chaotic advection requires destruction of all flow invariants. To illustrat...

Statler (1987) demonstrated that self-consistent triaxial models with the perfect density law could be constructed for virtually any choice of axis ratios. His experiments are repeated here using triaxial mass models based on Jaffe's density law, which has a central density that diverges as r −2 , similar to what is observed in low-luminosity elliptical galaxies. Most of the boxlike orbits are ...

a chaotic optimization algorithm (coa) based approach for the robust coordinated design of the upfc power oscillation damping controller and the conventional power system stabilizer has been investigated in this paper. chaotic optimization algorithms, which have the features of easy implementation, short execution time and robust mechanisms of escaping from local optimum, is a promising tool fo...

Chaos is embedded to the he Charged System Search (CSS) to solve practical optimization problems. To improve the ability of global search, different chaotic maps are introduced and three chaotic-CSS methods are developed. A comparison of these variants and the standard CSS demonstrates the superiority and suitability of the selected variants for practical civil optimization problems.

This paper develops the incremental learning by using chaotic neurons, which is called “on-demand learning” at its developing time. The incremental learning unites the learning process and the recall process in the associative memories. This learning method uses the features of the chaotic neurons which were first developed by Prof. Aihara. The features include the spatio-temporal sum of the in...

Abstract: In this paper, in order to achieve tracking performance of uncertain fractional order chaotic systems an adaptive hybrid fuzzy controller is proposed. During the design procedure, a hybrid learning algorithm combining sliding mode control and Lyapunov stability criterion is adopted to tune the free parameters on line by output feedback control law and adaptive law. A weighting factor,...