16 citations · 34 across the 4 of their papers we have counts for
4 papers
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…
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…
Symbolic Toolkit for Chaos Explorations
Tingli Xing, Jeremy Wojcik, Roberto Barrio +1
New computational technique based on the symbolic description utilizing kneading invariants is used for explorations of parametric chaos in a two exemplary systems with the Lorenz…
Computational quest for Kaos-land
Tingli Xing, Jeremy Wojcik, Michael A. Zaks +1
Using bi-parametric sweeping based on symbolic representation we reveal self-similar fractal structures induced by hetero- and homoclinic bifurcations of saddle singularities in th…