44 citations · 114 across the 24 of their papers we have counts for
12 papers · 1 filter
On the determination of exact number of limit cycles in Lienard Systems
Aniruddha Palit, Dhurjati Prasad Datta
We present a simpler proof of the existence of an exact number of one or more limit cycles to the Lienard system , , under weaker conditions on th…
Ultrametric Cantor sets and Origin of Anomalous Diffusion
Dhurjati Prasad Datta, Santanu Raut, Anuja Roy Chaudhuri
The anomalous mean square fluctuations are shown to arise naturally from the ordinary diffusion equation interpreted scale invariantly in a formalism endowing real numbers with a n…
On the Existence of Exactly Limit Cycles in Lienard Systems
Aniruddha Palit, Dhurjati prasad Datta
A theorem on the existence of exactly limit cycles around a critical point for the Lienard system is proved. An alogrithm on the determination o…
Ultrametric Cantor Sets and Growth of Measure
D. P. Datta, S. Raut, A. Raychoudhuri
A class of ultrametric Cantor sets introduced recently in literature (Raut, S and Datta, D P (2009), Fractals, 17, 45-52) is shown to enjoy some novel properties. The…
Scale free SL(2,R) analysis and the Picard's existence and uniqueness theorem
Dhurjati Prasad Datta
The existence of higher derivative discontinuous solutions to a first order ordinary differential equation is shown to reveal a nonlinear SL(2,R) structure of analysis in the sense…
Dynamical real numbers and living systems
Dhurjati Prasad Datta
Recently uncovered second derivative discontinuous solutions of the simplest linear ordinary differential equation define not only an nonstandard extension of the framework of the…