Jianquan Lu, Daniel W. C. Ho, Jinde Cao, Jürgen Kurths
This brief investigates globally exponential synchronization for linearly coupled neural networks (NNs) with time-varying delay and impulsive disturbances. Since the impulsive effects discussed in this brief are regarded as disturbances, the impulses should not happen too frequently. The concept of ...
Md Kamrul Hassan, Jürgen Schmidt, Bernd Blasius, Jürgen Kurths
We propose a generalized car parking problem where cars of two different sizes are sequentially parked on a line with a given probability q. The free parameter q interpolates between the classical car parking problem of only one car size and the competitive random sequential adsorption (CRSA) of a b...
Md Kamrul Hassan, N I Pavel, Rajib K. Pandit, Jürgen Kurths
Firstly, we propose and investigate a dyadic Cantor set (DCS) and its kinetic counterpart where a generator divides an interval into two equal parts and removes one with probability ( 1 - p ) . The generator is then applied at each step to all the existing intervals in the case of DCS and to only on...
M. K. Hassan, Jürgen Schmidt, Bernd Blasius, Jürgen Kurths
We propose a generalized car parking problem where either a car of size σ or of size mσ (m>1) is sequentially parked on a line with probability q and (1−q), respectively. The free parameter q interpolates between the classical car parking problem at either extreme (q=0 and 1) and the competitive ran...
M. K. Hassan, Jürgen Kurths
We consider the fragmentation process with mass loss and discuss self-similar properties of the arising structure both in time and space, focusing on dimensional analysis. This exhibits a spectrum of mass exponents theta, whose exact numerical values are given for which x(-theta) or t(theta z) has t...
Amit Lahiri, M. K. Hassan, Bernd Blasius, Jürgen Kurths
A class of nucleation and growth models of a stable phase is investigated for various different growth velocities. It is shown that for growth velocities v ≈ s ( t ) / t and v ≈ x / τ ( x ), where s ( t ) and τ are the mean domain size of the metastable phase (M-phase) and the mean nucleation time, ...
M. K. Hassan, Niels Wessel, Jürgen Kurths
We formulate a model for a cooperative ballistic deposition (CBD) process whereby the incoming particles are correlated with those already adsorbed via attractive force. The strength of the correlation is controlled by a tunable parameter a that interpolates the classical car parking problem at a=0,...