Publications

@article{Wontchui2022,
title = {Intermingled attractors in an asymmetrically driven modified Chua oscillator},
author = {T T Wontchui and M E Sone and S R Ujjwal and J Y Effa and H P E Fouda and R Ramaswamy},
url = {https://pubs.aip.org/aip/cha/article/32/1/013106/2835551/Intermingled-attractors-in-an-asymmetrically},
doi = {10.1063/5.0069232},
issn = {1054-1500},
year = {2022},
date = {2022-01-03},
journal = {Chaos},
volume = {32},
number = {1},
abstract = {Understanding the asymptotic behavior of a dynamical system when system parameters are varied remains a key challenge in nonlinear dynamics. We explore the dynamics of a multistable dynamical system (the response) coupled unidirectionally to a chaotic drive. In the absence of coupling, the dynamics of the response system consists of simple attractors, namely, fixed points and periodic orbits, and there could be chaotic motion depending on system parameters. Importantly, the boundaries of the basins of attraction for these attractors are all smooth. When the drive is coupled to the response, the entire dynamics becomes chaotic: distinct multistable chaos and bistable chaos are observed. In both cases, we observe a mixture of synchronous and desynchronous states and a mixture of synchronous states only. The response system displays a much richer, complex dynamics. We describe and analyze the corresponding basins of attraction using the required criteria. Riddled and intermingled structures are revealed.},
keywords = {Chaos, Lorenz, Lyapunov exponent, Multistability},
pubstate = {published},
tppubtype = {article}
}

@article{Wontchui2017,
title = {Coupled Lorenz oscillators near the Hopf boundary: Multistability, intermingled basins, and quasiriddling},
author = {T T Wontchui and J Y Effa and H P E Fouda and S R Ujjwal and R Ramaswamy },
url = {https://ramramaswamy.org/papers/166.pdf},
doi = {10.1103/PhysRevE.96.062203},
issn = {2470-0053},
year = {2017},
date = {2017-01-01},
journal = {Physical Review E},
volume = {96},
pages = {062203},
abstract = {textcopyright 2017 American Physical Society. We investigate the dynamics of coupled identical chaotic Lorenz oscillators just above the subcritical Hopf bifurcation. In the absence of coupling, the motion is on a strange chaotic attractor and the fixed points of the system are all unstable. With the coupling, the unstable fixed points are converted into chaotic attractors, and the system can exhibit a multiplicity of coexisting attractors. Depending on the strength of the coupling, the motion of the individual oscillators can be synchronized (both in and out of phase) or desynchronized and in addition there can be mixed phases. We find that the basins have a complex structure: the state that is asymptotically reached shows extreme sensitivity to initial conditions. The basins of attraction of these different states are characterized using a variety of measures and depending on the strength of the coupling, they are intermingled or quasiriddled.},
keywords = {Intermingled Basins, Lorenz, Multistability, Quasiriddling},
pubstate = {published},
tppubtype = {article}
}