Qualitative investigation of a system of three differential equations in the theory of phase synchronization

DOI10.1016/0021-8928(75)90062-3zbMath0333.70012OpenAlexW1967609984MaRDI QIDQ1228381

Vladimir N. Belykh, Vladimir I. Nekorkin

Publication date: 1975

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(75)90062-3

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20)

Related Items (10)

Spiral chaos in the nonholonomic model of a Chaplygin top ⋮ The Gardner Problem and Cycle Slipping Bifurcation for Type-2 Phase-Locked Loops ⋮ Qualitative structures and bifurcations generated by a nonlinear third- order phase synchronization equation ⋮ The paths of nine mathematicians to the realm of dynamical systems ⋮ The Tricomi problem on the existence of homoclinic orbits in dissipative systems ⋮ On the stability in the large of nonlinear systems in the critical case of two zero roots ⋮ Fishing principle for homoclinic and heteroclinic trajectories ⋮ Qualitative investigation of a system of three differential equations in the theory of phase synchronization ⋮ Qualitative study of a multidimensional phase system ⋮ Necessary and sufficient conditions for the absolute stability of two-dimensional time-varying systems

Cites Work

• Qualitative investigation of a system of three differential equations in the theory of phase synchronization
• On limit cycles in systems of differential equations with a small parameter in the highest derivatives
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