38 citations · 148 across the 17 of their papers we have counts for
7 papers · 1 filter
Escape from a potential well under forcing and damping with application to ship capsize
Alex McSweeney-Davis, R. S. MacKay, Shibabrat Naik
Escape from a potential well occurs in a wide variety of physical systems from chemical reactions to ship capsize. In these situations escape often occurs by passage over a normall…
Support vector machines for learning reactive islands
Shibabrat Naik, Vladimír Krajňák, Stephen Wiggins
We develop a machine learning framework that can be applied to data sets derived from the trajectories of Hamilton's equations. The goal is to learn the phase space structures that…
A new stochastic framework for ship capsizing
Manuela L. Bujorianu, Robert S. MacKay, Tobias Grafke +2
We present a new stochastic framework for studying ship capsize. It is a synthesis of two strands of transition state theory. The first is an extension of deterministic transition…
Hamiltonian pitchfork bifurcation in transition across index-1 saddles
Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
We study the effect of changes in the parameters of a two-dimensional potential energy surface on the phase space structures relevant for chemical reaction dynamics. The changes in…
Finding NHIM in 2 and 3 degrees-of-freedom with Hénon-Heiles type potential
Shibabrat Naik, Stephen Wiggins
We present the capability of Lagrangian descriptors for revealing the high dimensional phase space structures that are of interest in nonlinear Hamiltonian systems with index-1 sad…
Finding NHIM: Identifying High Dimensional Phase Space Structures in Reaction Dynamics using Lagrangian Descriptors
Shibabrat Naik, Víctor J. García-Garrido, Stephen Wiggins
Phase space structures such as dividing surfaces, normally hyperbolic invariant manifolds, their stable and unstable manifolds have been an integral part of computing quantitative…
Computational Method for Phase Space Transport with Applications to Lobe Dynamics and Rate of Escape
Shibabrat Naik, Francois Lekien, Shane D. Ross
Lobe dynamics and escape from a potential well are general frameworks introduced to study phase space transport in chaotic dynamical systems. While the former approach studies how…