108 citations · 512 across the 23 of their papers we have counts for
3 papers · 1 filter
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…
Bottom-up approach to torus bifurcation in neuron models
Huiwen Ju, Alexander Neiman, Andrey Shilnikov
We study the quasi-periodicity phenomena occurring at the transition between tonic spiking and bursting activities in exemplary biologically plausible Hodgkin-Huxley type models of…