25 citations · 66 across the 12 of their papers we have counts for
12 papers
A study on Darboux polynomials and their significance in determining other integrability quantifiers: A case study in third-order nonlinear ordinary differential equations
R. Mohanasubha, M. Senthilvelan
In this paper, we present a method of deriving extended Prelle-Singer method's quantifiers from Darboux Polynomials for third-order nonlinear ordinary differential equations. By kn…
A Class of Isochronous and Non-Isochronous Nonlinear Oscillators
J. Ramya Parkavi, R. Mohanasubha, V. K. Chandrasekar +2
In this work, we present a method of generating a class of nonlinear ordinary differential equations (ODEs), representing the dynamics of appropriate nonlinear oscillators, that ha…
A note on deriving linearizing transformations for a class of second order nonlinear ordinary differential equations
R Mohanasubha, V. K. Chandrasekar, M. Senthilvelan
We present a method of deriving linearizing transformations for a class of second order nonlinear ordinary differential equations. We construct a general form of a nonlinear ordina…
On the symmetries of a nonlinear non-polynomial oscillator
R. Mohanasubha, M. Senthilvelan
In this paper, we unearth symmetries of different types of a nonlinear non-polynomial oscillator. The symmetries which we report here are adjoint-symmetries, contact symmetries and…
Interplay of symmetries and other integrability quantifiers in finite dimensional integrable nonlinear dynamical systems
R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan +1
In this work, we establish a connection between the extended Prelle-Singer procedure with other widely used analytical methods to identify integrable systems in the case of $n^{th}…
Symmetries of nonlinear ordinary differential equations: the modified Emden equation as a case study
M. Senthilvelan, V. K. Chandrasekar, R. Mohanasubha
Lie symmetry analysis is one of the powerful tools to analyze nonlinear ordinary differential equations. We review the effectiveness of this method in terms of various symmetries.…
On certain analytical methods in finding integrable systems and their interconnections
R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan +1
In this paper, to begin with, we review six different analytical methods which are widely used to derive symmetries, integrating factors, multipliers, Darboux polynomials and integ…
Interconnections between various analytic approaches applicable to third-order nonlinear differential equations
R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan +1
We unearth the interconnection between various analytical methods which are widely used in the current literature to identify integrable nonlinear dynamical systems described by th…
Order preserving contact transformations and dynamical symmetries of scalar and coupled Riccati and Abel chains
R. Gladwin Pradeep, V. K. Chandrasekar, R. Mohanasubha +2
We identify contact transformations which linearize the given equations in the Riccati and Abel chains of nonlinear scalar and coupled ordinary differential equations to the same o…
Interplay of symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in integrable second order differential equations
R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan +1
In this work, we establish a connection between the extended Prelle-Singer procedure (Chandrasekar \textit{et al.} Proc. R. Soc. A 2005) with five other analytical methods which ar…
A nonlocal connection between certain linear and nonlinear ordinary differential equations - Part II: Complex nonlinear oscillators
R. Mohanasubha, Jane H. Sheeba, V. K. Chandrasekar +2
In this paper, we present a method to identify integrable complex nonlinear oscillator systems and construct their solutions. For this purpose, we introduce two types of nonlocal t…
On the linearization of isochronous centre of a modified Emden equation with linear external forcing
R Mohanasubha, M I Sabiya Shakila, M Senthilvelan
In this work, we carry out a detailed study on the linearization of isochronous centre of a modified Emden equation with linear external forcing. We construct inverse integrating f…