3 papers
physics.class-ph2025
On the solution and Lagrangian representation of Duffing oscillator with damping
Amitava Choudhuri, Madan Mohan Panja, Benoy Talukdar
We construct the equation of Duffing oscillator in a dissipative medium using certain concepts from elementary mechanics. The Duffing equation (DE) without damping can be solved an…
math-ph2024
Null Lagrangians in Schwarzian mechanics
Pratik Majhi, Madan Mohan Panja, Pranab Sarkar +1
In addition to standard and non-standard Lagrangians of classical mechanics, we consider, in this work, null Lagrangians that (i) identically satisfy the Euler-Lagrange equation an…
math-ph2024
Inverse variational problem for equations in the Riccati chain
Pranab Sarkar, Pratik Majhi, Madan Mohan Panja +1
The nonstandard Lagrangian representations of Ricatti and Riccati-type equations that exist in the literature cannot be obtained using Helmholtz solution of the inverse problem. In…