Publications

@article{Prasad2010b,
title = {Amplitude death in nonlinear oscillators with nonlinear coupling},
author = {A Prasad, M Dhamala, B M Adhikari, and R Ramaswamy},
url = {https://link.aps.org/doi/10.1103/PhysRevE.81.027201},
doi = {10.1103/PhysRevE.81.027201},
year = {2010},
date = {2010-02-08},
journal = {Physical Review E},
volume = {81},
number = {2},
pages = {027201},
abstract = {Amplitude death is the cessation of oscillations that occurs in coupled nonlinear systems when fixed points are stabilized as a consequence of the interaction. We show here that this phenomenon is very general: it occurs in nonlinearly coupled systems in the absence of parameter mismatch or time delay although time-delayed interactions can enhance the effect. Application is made to synaptically coupled model neurons, nonlinearly coupled Rössler oscillators, as well as to networks of nonlinear oscillators with nonlinear coupling. By suitably designing the nonlinear coupling, arbitrary steady states can be stabilized.},
keywords = {Amplitude Death, Coupled Oscillators},
pubstate = {published},
tppubtype = {article}
}

@article{Someda1993b,
title = {Decoupling surface analysis of classical irregular scattering and classification of its icicle structure},
author = {K Someda, R Ramaswamy and H Nakamura},
url = {https://pubs.aip.org/aip/jcp/article-pdf/98/2/1156/11047349/1156\_1\_online.pdf},
doi = {10.1063/1.464339},
issn = {0021-9606},
year = {1993},
date = {1993-01-15},
journal = {The Journal of Chemical Physics},
volume = {98},
number = {2},
pages = {1156–1169 },
abstract = {Irregular scattering in molecular inelastic collision is analyzed classical mechanically by a novel method called ‘‘decoupling surface analysis.’’ Effective Hamiltonian of this analysis provides a phase space view of collision processes analogous to the Poincaré section of coupled‐oscillator systems. In this phase space view irregular scattering occurs in a stochastic layer formed around separatrix connected to resonance structure of the effective Hamiltonian. This circumstance is parallel to that in the coupled‐oscillator systems, in which stochastic motion is known to be connected to nonlinear resonance. The resonance structure in collision indicates trapping of classical trajectories in a certain dynamical well. The decoupling surface analysis suggests that the dynamical well is formed by a dip of stability exponents of trajectories as a function of time. By using a prototypical model exhibiting irregular scattering, a formal theoretical treatment is developed to analyze the structure of the fractal, termed icicle structure, observed in the plot of final vibrational action against the initial vibrational phase angle.},
keywords = {05.45.-a Nonlinear dynamics and nonlinear dynamical systems, Coupled Oscillators, Stochastic dynamics},
pubstate = {published},
tppubtype = {article}
}

@article{Ramaswamy1981b,
title = {The onset of chaotic motions in deterministic systems},
author = {R Ramaswamy and R A Marcus
},
url = {https://doi.org/10.1063/1.441202},
doi = {10.1063/1.441202},
issn = {0021-9606},
year = {1981},
date = {1981-01-15},
journal = {The Journal of Chemical Physics},
volume = {74},
number = {2},
pages = {1385–1393},
abstract = {In the present paper the classical counterpart of the quantum avoided crossing method for detecting chaos is described using classical (Lie‐transform) perturbation theory and a grid of action variables. The results are applied to two systems of coupled oscillators with cubic and quartic nonlinearities. The plots of energy of members of the grid versus the perturbation parameter provide a visual description for predicting the onset of chaos.},
keywords = {Chaos, Coupled Oscillators, Perturbation},
pubstate = {published},
tppubtype = {article}
}

@article{Ramaswamy1980,
title = {Semiclassical quantization of multidimensional systems},
author = {R Ramaswamy, P Siders and R A Marcus
},
url = {https://doi.org/10.1063/1.439939},
doi = {10.1063/1.439939},
issn = {0021-9606},
year = {1980},
date = {1980-11-15},
journal = {The Journal of Chemical Physics},
volume = {73},
number = {10},
pages = {5400–5401},
abstract = {Low order classical perturbation theory is used to obtain semiclassical eigenvalues for a system of three anharmonically coupled oscillators. The results in the low energy region studied here agree well with the ’’exact’’ quantum values. The latter had been calculated by matrix diagonalization using a large basis set.},
keywords = {Coupled Oscillators, Perturbation},
pubstate = {published},
tppubtype = {article}
}