2 citations · 3 across the 4 of their papers we have counts for
5 papers
Gauge Invariant Geometry of Closed Space Curves: Applications to Boundary Curves of Mobius-type Strips
Radha Balakrishnan, Indubala I Satija
We derive gauge-invariant expressions for the twist and the linking number of a closed space curve, that are independent of the frame used to describe the curve, and henc…
Geometric Phase and Classical-Quantum Correspondence
Indubala I. Satija, Radha Balakrishnan
We study the geometric phase factors underlying the classical and the corresponding quantum dynamics of a driven nonlinear oscillator exhibiting chaotic dynamics. For the classical…
Nonlinear elastodynamics and energy transport in biopolymers
Radha Balakrishnan, Rossen Dandoloff
We present an exact analysis of the intrinsic dynamics of two types of biopolymers, described by the wormlike chain (WLC) and the wormlike rod chain (WLRC) models, respectively. We…
Anholonomy and Geometrical Localization in Dynamical Systems
Radha Balakrishnan, Indubala Satija
We characterize the geometrical and topological aspects of a dynamical system by associating a geometric phase with a phase space trajectory. Using the example of a nonlinear drive…
Kinematics of the Three Moving Space Curves Associated with the Nonlinear Schrödinger Equation
Radha Balakrishnan, S. Murugesh
Starting with the general description of a moving curve, we have recently presented a unified formalism to show that three distinct space curve evolutions can be identified with a…