49 citations · 276 across the 34 of their papers we have counts for
5 papers · 1 filter
Study of Low-dimensional Nonlinear Fractional Difference Equations of Complex Order
Divya D Joshi, Prashant M Gade, Sachin Bhalekar
We study the fractional maps of complex order, for and in 1 and 2 dimensions. In two dimensions, we study H{é}non and Lozi map and in , we…
On fractional-order maps and their synchronization
Prashant M. Gade, Sachin B. Bhalekar
We study the stability of linear fractional order maps. We show that in the stable region, the evolution is described by Mittag-Leffler functions and a well defined effective Lyapu…
Stretched exponential dynamics of coupled logistic maps on a small-world network
Ashwini V. Mahajan, Prashant M. Gade
We investigate the dynamic phase transition from partially or fully arrested state to spatiotemporal chaos in coupled logistic maps on a small-world network. Persistence of local v…
Dynamic Phase Transition from Localized to Spatiotemporal Chaos in Coupled Circle Map with Feedback
Abhijeet R. Sonawane, Prashant M. Gade
We investigate coupled circle maps in presence of feedback and explore various dynamical phases observed in this system of coupled high dimensional maps. We observe an interesting…
How Crucial is Small World Connectivity for Dynamics?
Prashant M. Gade, Sudeshna Sinha
We study the dynamical behaviour of the collective field of chaotic systems on small world lattices. Coupled neuronal systems as well as coupled logistic maps are investigated. We…