Publications

@article{PhysRevE.98.022212,
title = {Dynamical effects of breaking rotational symmetry in counter-rotating Stuart-Landau oscillators},
author = {N Punetha and V Varshney and S Sahoo and G Saxena and A Prasad and R Ramaswamy},
url = {https://ramramaswamy.org/papers/174.pdf},
doi = {10.1103/PhysRevE.98.022212},
issn = {2470-0053 },
year = {2018},
date = {2018-08-01},
journal = {Physical Review E},
volume = {98},
pages = {022212},
publisher = {American Physical Society},
abstract = {Stuart-Landau oscillators can be coupled so as to either preserve or destroy the rotational symmetry that the
uncoupled system possesses. We examine some of the simplest cases of such couplings for a system of two
nonidentical oscillators. When the coupling breaks the rotational invariance, there is a qualitative difference
between oscillators wherein the phase velocity has the same sign (termed co-rotation) or opposite signs (termed
counter-rotation). In the regime of oscillation death the relative sense of the phase rotations plays a major role.
In particular, when rotational invariance is broken, counter-rotation or phase velocities of opposite signs appear
to destabilize existing fixed points, thereby preserving and possibly extending the range of oscillatory behaviour.
The dynamical “frustration” induced by counter-rotations can thus suppress oscillation quenching when coupling
breaks the symmetry.},
keywords = {Amplitude Death, Landau-Stuart, Oscillation Quenching, Symmetry Breaking},
pubstate = {published},
tppubtype = {article}
}

@article{Ujjwal2017b,
title = {Symmetries and symmetry-breaking in oscillator ensembles},
author = {Sangeeta R Ujjwal and Ram Ramaswamy},
url = {https://ramramaswamy.org/papers/.pdf},
year = {2017},
date = {2017-01-01},
journal = {Physics News},
volume = {47},
number = {2},
pages = {11–16},
keywords = {Chaos Theory, Symmetry Breaking},
pubstate = {published},
tppubtype = {article}
}

@article{Pandey1993,
title = {Symmetry-breaking in quantum chaotic systems},
author = {A Pandey, R Ramaswamy and P Shukla},
url = {https://doi.org/10.1007/BF02847320},
doi = {10.1007/BF02847320},
issn = {0973-7111},
year = {1993},
date = {1993-07-01},
journal = {Pramana},
volume = {45},
number = {1},
pages = {75-81},
abstract = {We show, using semiclassical methods, that as a symmetry is broken, the transition between universality classes for the spectral correlations of quantum chaotic systems is governed by the same parametrization as in the theory of random matrices. The theory is quantitatively verified for the kicked rotor quantum map. We also provide an explicit substantiation of the random matrix hypothesis, namely that in the symmetry-adapted basis the symmetry-violating operator is random.},
keywords = {Quantum chaos, Symmetry Breaking},
pubstate = {published},
tppubtype = {article}
}