108 citations · 512 across the 23 of their papers we have counts for
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Leonid Shilnikov and mathematical theory of dynamical chaos
Alexey Kazakov, Sergey Gonchenko, Dmitry Turaev +1
This Focus Issue Global Bifurcations, Chaos, and Hyperchaos Theory and Applications is dedicated to the 85th anniversary of the great mathematician, one of the founding fathers of…
Measuring chaos in the Lorenz and Rössler models: Fidelity tests for reservoir computing
James Scully, Alexander Neiman, Andrey Shilnikov
This study is focused on the qualitative and quantitative characterization of chaotic systems with the use of symbolic description. We consider two famous systems: Lorenz and Rössl…
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…