20 citations · 69 across the 6 of their papers we have counts for
8 papers
Hierarchical emergence of network bursting in a four-cell central pattern generator model
Krishna Pusuluri, Huiwen Wu, Andrey L. Shilnikov
How can a neural circuit rhythmically burst when none of its constituent neurons can endogenously do so? We address this question through a bottom-up reconstruction of a 4-cell neu…
Intelligent gradient amplification for deep neural networks
Sunitha Basodi, Krishna Pusuluri, Xueli Xiao +1
Deep learning models offer superior performance compared to other machine learning techniques for a variety of tasks and domains, but pose their own challenges. In particular, deep…
Ordered intricacy of Shilnikov saddle-focus homoclinics in symmetric systems
Tingli Xing, Krishna Pusuluri, Andrey L. Shilnikov
Using the technique of Poincaré return maps, we disclose an intricate order of the subsequent homoclinics near the primary homoclinic bifurcation of the Shilnikov saddle-focus in s…
Homoclinic chaos in the Rössler model
Semyon Malykh, Yuliya Bakhanov, Alexey Kazakov +2
We study the origin of homoclinic chaos in the classical 3D model proposed by O. Rössler in 1976. Of our particular interest are the convoluted bifurcations of the Shilnikov saddle…
Dynamics and bifurcations in multistable 3-cell neural networks
J. Collens, K. Pusuluri, A. Kelly +5
We disclose the generality of the intrinsic mechanisms underlying multistability in reciprocally inhibitory 3-cell circuits composed of simplified, low-dimensional models of oscill…
Homoclinic puzzles and chaos in a nonlinear laser model
K. Pusuluri, H. G. E. Meijer, A. L. Shilnikov
We present a case study elaborating on the multiplicity and self-similarity of homoclinic and heteroclinic bifurcation structures in the 2D and 3D parameter spaces of a nonlinear l…
Homoclinic chaos and its organization in a nonlinear optics model
Krishna Pusuluri, Andrey L Shilnikov
We developed a powerful computational approach to elaborate on onset mechanisms of deterministic chaos due to complex homoclinic bifurcations in diverse systems. Its core is the re…
Unraveling the Chaos-land and its organization in the Rabinovich System
Krishna Pusuluri, Arkady Pikovsky, Andrey Shilnikov
A suite of analytical and computational techniques based on symbolic representations of simple and complex dynamics, is further developed and employed to unravel the global organiz…