Simultaneous and Sequential Synchronisation in Arrays

We discuss the possibility of simultaneous and sequential synchronisation in vertical and horizontal arrays of unidirectionally coupled discrete systems. This is realized for the specific case of two dimensional Gumowski-Mira maps. The synchronised state can be periodic,thereby bringing in control of chaos, or chaotic for carefully chosen parameters of the participating units. The synchronised chaotic state is further characterised using variation of the time of synchronisation with coupling coefficient, size of the array etc. In the case of the horizontal array, the total time of synchronisation can be controlled by increasing the coupling coefficient step wise in small bunch of units.Comment: 10 pages 12 figures submitted to European Physical Journa

Environmental management system and electronic communication : Is it the need of the hour?

Implementation and certification of Environmental Management Systems (EMS) is a reality for many businesses. Communication with an organisation&rsquo;s stakeholders is a required element of any EMS. In the last five years companies have steadily moved towards integrating their different management systems, such as quality, environmental, and occupational health and safety, in an attempt to reduce their costs and increase efficiency. Legislation requires extensive reporting in each of these areas, so compliance is another important driver. During this period, communication by digital technology, or electronic communication, has gained prominence and acceptance amongst all groups of people including businesses primarily as a means to disseminate crucial EMS information to geographically diverse employees in a cost effective and instantaneous manner. Some perspectives have emerged to suggest that change processes in organisations may be hindered or helped in various ways through the application of digital technology in EMS. There are, however, gaps in the literature that document the impact and effectiveness of electronic communication amongst EMS stakeholders. In this paper we will discuss employees as one of the major stakeholders and whether the move to electronic communication has been assisting or hindering transformations in awareness and understanding of issues amongst employees. We highlight opportunities and challenges presented by an increased use of electronic communication in light of the environmental and climate change debates, which underpin EMS.</div

Mechanisms for tuning clustering and degree-correlations in directed networks

With complex networks emerging as an effective tool to tackle multidisciplinary problems, models of network generation have gained an importance of their own. These models allow us to extensively analyze the data obtained from real-world networks, study their relevance and corroborate theoretical results. In this work, we introduce methods, based on degree preserving rewiring, that can be used to tune the clustering and degree-correlations in directed networks with random and scale-free topologies. They provide null-models to investigate the role of the mentioned properties along with their strengths and limitations. We find that in the case of clustering, structural relationships, that are independent of topology and rewiring schemes are revealed, while in the case of degree-correlations, the network topology is found to play an important role in the working of the mechanisms. We also study the effects of link-density on the efficiency of these rewiring mechanisms and find that in the case of clustering, the topology of the network plays an important role in determining how link-density affects the rewiring process, while in the case of degree-correlations, the link-density and topology, play no role for sufficiently large number of rewiring steps. Besides the intended purpose of tuning network properties, the proposed mechanisms can also be used as a tool to reveal structural relationships and topological constraints.Comment: 8 pages, 11 figures, submitted to Physical Review

Suppression of dynamics and frequency synchronization in coupled slow and fast dynamical systems

We present our study on the emergent states of two interacting nonlinear systems with differing dynamical time scales. We find that the inability of the interacting systems to fall in step leads to difference in phase as well as change in amplitude. If the mismatch is small, the systems settle to a frequency synchronized state with constant phase difference. But as mismatch in time scale increases, the systems have to compromise to a state of no oscillations. We illustrate this for standard nonlinear systems and identify the regions of quenched dynamics in the parameter plane. The transition curves to this state are studied analytically and confirmed by direct numerical simulations. As an important special case, we revisit the well-known model of coupled ocean atmosphere system used in climate studies for the interactive dynamics of a fast oscillating atmosphere and slowly changing ocean. Our study in this context indicates occurrence of multi stable periodic states and steady states of convection coexisting in the system, with a complex basin structure.Comment: 9 pages, 20 figures, submitted to European Physical Journal