This paper introduces a type of modified hybrid projective synchronization with complex transformationmatrix (CMHPS) for different dimensional fractional-order complex chaos and fractional-order real hyper-chaos. The transformationmatrix in this type of chaotic synchronization is a non-square matrix, and its elements are complex numbers. Based on the stability theory of fractional-order systems...

Single-celled organisms dividing by binary fission were thought not to age [1-4]. A 2005 study by Stewart et al. [5] reversed the dogma by demonstrating that Escherichia coli were susceptible to aging. A follow-up study by Wang et al. [6] countered those results by demonstrating that E. coli cells trapped in microfluidic devices are able to sustain robust growth without aging. The present study...

Genome-wide regulatory networks enable cells to function, develop, and survive. Perturbation of these networks can lead to appearance of a disease phenotype. Inspired by Conrad Waddington's epigenetic landscape of cell development, we use a Hopfield network formalism to construct an attractor landscape model of disease progression based on protein- or gene-correlation networks of Parkinson's di...

The response of model neurons driven by a periodic current converges onto mode-locked attractors. Reliability, de%ned as the noise stability of the attractor, was studied as a function of the drive frequency and noise strength. For weak noise, the neuron remained on one attractor and reliability was high. For intermediate noise strength, transitions between attractors occurred. For strong noise...

− In this paper, we present a biomimetic, force field based computational model for whole body reaching (WBR) using the approach known as passive motion paradigm. The proposed computational model is based on non-linear attractor dynamics where the attractor landscape is obtained by combining multiple force fields in different reference systems. Simulation results for a range of reaching tasks u...

Perceptual decision making is the subject of many experimental and theoretical studies. Whereas most modeling analysis are based on statistical processes of accumulation of evidence, less attention is being devoted to the modeling with attractor network dynamics, even though they describe well psychophysical and neurophysiological data. In particular, very few works confront attractor models pr...

Slow adaption processes, like synaptic and intrinsic plasticity, abound in the brain and shape the landscape for the neural dynamics occurring on substantially faster timescales. At any given time the network is characterized by a set of internal parameters, which are adapting continuously, albeit slowly. This set of parameters defines the number and the location of the respective adiabatic att...

Interior crises are understood as discontinuous changes of the size of a chaotic attractor that occur when an unstable periodic orbit collides with the chaotic attractor. We present here numerical evidence and theoretical reasoning which prove the existence of a chaos-chaos transition in which the change of the attractor size is sudden but continuous. This occurs in the Hindmarsh-Rose model of ...