5 papers
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…
Global Analysis of Synchronization in Coupled Maps
Juergen Jost, Kiran M. Kolwankar
We introduce a new method for determining the global stability of synchronization in systems of coupled identical maps. The method is based on the study of invariant measures. Besi…
Definition of fractal measures arising from fractional calculus
Kiran M. Kolwankar, Anil D. Gangal
It is wellknown that the ordinary calculus is inadequate to handle fractal structures and processes and another suitable calculus needs to be developed for this purpose. Recently i…
Studies of fractal structures and processes using methods of fractional calculus
Kiran M. Kolwankar
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of local fractional derivative (LFD). Fractal and multifractal functions have been s…
Disordered Totally Asymmetric Simple Exclusion Process: Exact Results
Kiran M. Kolwankar, Alexander Punnoose
We study the effect of quenched spatial disorder on the current-carrying steady states of the totally asymmetric simple exclusion process with spatially disordered jump rates. The…