361 citations · 958 across the 23 of their papers we have counts for
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Multifractal invariant measures in expanding piecewise linear coupled maps
Deepak Jalla, Kiran M. Kolwankar
We analyze invariant measures of two coupled piecewise linear and everywhere expanding maps on the synchronization manifold. We observe that though the individual maps have simple…
Chaotic Properties of Single Element Nonlinear Chimney Model: Effect of Directionality
Anisha R. V. Kashyap, Kiran M. Kolwankar
We generalize the chimney model by introducing nonlinear restoring and gravitational forces for the purpose of modeling swaying of trees at high wind speeds. We have derived genera…
Recursive Local Fractional Derivative
Kiran M. Kolwankar
The definition of the local fractional derivative has been generalised to the orders beyond the critical order. This makes it possible to retain more terms in the local fractional…
Local Fractional Calculus: a Review
Kiran M. Kolwankar
The purpose of this article is to review the developments related to the notion of local fractional derivative introduced in 1996. We consider its definition, properties, implicati…
Evolution of network structure by temporal learning
Juergen Jost, Kiran M. Kolwankar
We study the effect of learning dynamics on network topology. A network of discrete dynamical systems is considered for this purpose and the coupling strengths are made to evolve a…
Fractal Stationary Density in Coupled Maps
Juergen Jost, Kiran M. Kolwankar
We study the invariant measure or the stationary density of a coupled discrete dynamical system as a function of the coupling parameter ε(0 < ε< 1/4). The dynamical system consider…