Homoclinic orbits and chaos in nonlinear dynamical systems: auxiliary systems method

DOI10.1134/S199508022202007XzbMath1496.37021OpenAlexW4226395060MaRDI QIDQ2121923

D. A. Grechko, Vladimir N. Belykh, N. V. Barabash

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022202007x

zbMATH Keywords

homoclinic orbitShilnikov chaosVan der Pol-Duffing oscillator

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Cites Work

• Chaotic dynamics of two Van der Pol-Duffing oscillators with Huygens coupling
• ON BIFURCATIONS OF SEPARATRIX CONTOURS WITH TWO SADDLES
• ON THE COMPLEX BIFURCATION SET FOR A SYSTEM WITH SIMPLE DYNAMICS
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