49 citations · 276 across the 34 of their papers we have counts for
34 papers
Maps of q-deformed fractional order: From circle to cardioid via crescent
Sachin Bhalekar, Prashant M. Gade
We introduce a class of \(q\)-deformed fractional order maps by replacing the classical binomial memory kernel in discrete fractional dynamics with Gaussian (\(q\)-) binomial coeff…
Approach to zigzag and checkerboard patterns in spatially extended systems
Manoj C. Warambhe, Prashant M. Gade
Zigzag patterns in one dimension or checkerboard patterns in two dimensions occur in a variety of pattern-forming systems. We introduce an order parameter `phase defect' to identif…
Analysis of the maps with variable fractional order
Prashant M. Gade, Sachin Bhalekar, Janardhan Chevala
Fractional order differential and difference equations are used to model systems with memory. Variable order fractional equations are proposed to model systems where the memory cha…
Dynamical Analysis Of Fractional Order Generalized Logistic Map
Sachin Bhalekar, Janardhan Chevala, Prashant M. Gade
In this work, we propose a generalization to the classical logistic map. The generalized map preserves most properties of the classical map and has richer dynamics as it contains t…
Cellular Automata model for period- synchronization: A new universality class
Divya D. Joshi, Prashant M. Gade
There are few known universality classes of absorbing phase transitions in one dimension and most models fall in the well-known directed percolation (DP) class. Synchronization is…
Synchronization transition in space-time chaos in the presence of quenched disorder
Naval R. Sabe, Priyanka D. Bhoyar, Prashant M. Gade
Synchronization of two replicas of coupled map lattices for continuous maps is known to be in the multiplicative noise universality class. We study this transition in the presence…