44 citations · 114 across the 24 of their papers we have counts for
28 papers
Efficient Computation of Periodic Orbits of Forced Rayleigh Equation in the Framework of Novel Asymptotic Structures
Aniruddha Palit, Dhurjati Prasad Datta, Santanu Raut
Higher precision efficient computation of period 1 relaxation oscillations of strongly nonlinear and singularly perturbed Rayleigh equations with external periodic forcing is prese…
Novel Excitation of local fractional dynamics
Dhurjati Prasad Datta, Soma Sarkar, Santanu Raut
The question of a possible excitation and emergence of fractional type dynamics, as a more realistic framework for understanding emergence of complex systems, directly from a conve…
Duality Structure, Asymptotic analysis and Emergent Fractal sets
Dhurjati Prasad Datta, Soma Sarkar
A new, extended nonlinear framework of the ordinary real analysis incorporating a novel concept of {\em duality structure} and its applications into various nonlinear dynamical pro…
Excitation of Flow Instabilities due to Nonlinear Scale Invariance
Dhurjati Prasad Datta, Sudip Sen
A novel route to instabilities and turbulence in fluid and plasma flows is presented in kinetic Vlasov-Maxwell model. New kind of flow instabilities is shown to arise due to the av…
Comparative Study of Homotopy Analysis and Renormalization Group Methods on Rayleigh and Van der Pol Equations
Aniruddha Palit, Dhurjati Prasad Datta
A comparative study of the Homotopy Analysis method and an improved Renormalization Group method is presented in the context of the Rayleigh and the Van der Pol equations. Efficien…
On a Variation of the Definition of Limit: Some Analytic Consequences
Dhurjati Prasad Datta
The basic formalism of a novel scale invarinat nonlinear analysis is presented. A few analytic number theoretic results are derived independent of standard approaches.