Shilnikov Andrei Leonidovich

Publications in Math-Net.Ru

1. Scientific Heritage of L.P. Shilnikov. Part II. Homoclinic Chaos
   
   Regul. Chaotic Dyn., 30:2 (2025),  155–173
2. Quasi-Periodicity at Transition from Spiking to Bursting in the Pernarowski Model of Pancreatic Beta Cells
   
   Regul. Chaotic Dyn., 29:1 (2024),  100–119
3. Scientific Heritage of L.P. Shilnikov
   
   Regul. Chaotic Dyn., 19:4 (2014),  435–460
4. Qualitative methods for case study of the Hindmarch–Rose model
   
   Nelin. Dinam., 6:1 (2010),  23–52
5. Blue-sky catastrophe in singularly perturbed systems
   
   Mosc. Math. J., 5:1 (2005),  269–282
6. Homoclinic bifurcations of periodic orbits en a route from tonic spiking to bursting in neuron models
   
   Regul. Chaotic Dyn., 9:3 (2004),  281–297
7. Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with symmetry
   
   Regul. Chaotic Dyn., 3:1 (1998),  19–27


8. Leonid Pavlovich Shil'nikov (obituary)
   
   Uspekhi Mat. Nauk, 67:3(405) (2012),  175–178
9. Burst-duration mechanism of in-phase bursting in inhibitory networks
   
   Regul. Chaotic Dyn., 15:2-3 (2010),  146–158