18 citations · 33 across the 6 of their papers we have counts for
6 papers
Chaos in Coupled Heteroclinic Cycles between Weak Chimeras
Artyom E. Emelin, Evgeny A. Grines, Tatiana A. Levanova
Heteroclinic cycles are widely used in neuroscience in order to mathematically describe different mechanisms of functioning of the brain and nervous system. Heteroclinic cycles and…
Heteroclinic cycles and chaos in a system of four identical phase oscillators with global biharmonic coupling
Aleksei M. Arefev, Evgeny A. Grines, Grigory V. Osipov
We study a system of four identical globally coupled phase oscillators with biharmonic coupling function. Its dimension and the type of coupling make it the minimal system of Kuram…
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators
Evgeny A. Grines, Alexey O. Kazakov, Igor R. Sataev
We study chaotic dynamics in a system of four differential equations describing the dynamics of five identical globally coupled phase oscillators with biharmonic coupling. We show…
Describing dynamics of driven multistable oscillators with phase transfer curves
Evgeny Grines, Grigory Osipov, Arkady Pikovsky
Phase response curve is an important tool in studies of stable self-sustained oscillations; it describes a phase shift under action of an external perturbation. We consider multist…
Heteroclinic and homoclinic structures in the system of four identical globally coupled phase oscillators with nonpairwise interactions of phases
Evgeny A. Grines, Grigory V. Osipov
Systems of identical globally coupled phase oscillators can demonstrate a multitude of complex behaviours. Such systems can have chaotic dynamics for when a coupling func…
Discrete Shilnikov attractor and chaotic dynamics in the system of five identical globally coupled phase oscillators with biharmonic coupling
Evgeny A. Grines, Alexei O. Kazakov, Igor R. Sataev
We argue that a discrete Shilnikov attractor exists in the system of five identical globally coupled phase oscillators with biharmonic coupling. We explain the scenario that leads…