Bifurcations and multistability of the oscillations of a three-dimensional system

DOI10.1007/s10778-015-0687-5zbMath1331.34068OpenAlexW1194983974MaRDI QIDQ5964569

Anatoly Martynyuk, N. V. Nikitina

Publication date: 29 February 2016

Published in: International Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10778-015-0687-5

zbMATH Keywords

chaosbifurcationmultistable systemnonlinear monotonic systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical systems in solid mechanics (37N15) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (7)

Bifurcations of two coupled oscillators ⋮ Bifurcation processes in a physical model ⋮ Chaotic synchronization in models of impulsive power systems with delay ⋮ Attractors of 3D systems in basic models of mechanics ⋮ On periodic motions in three-dimensional systems ⋮ Analyzing the mechanisms of loss of orbital stability in mathematical models of three-dimensional systems ⋮ On existence of attractors in dissipative three-dimensional systems

Cites Work

• Asymptotic stability criterion for nonlinear monotonic systems and its applications (review)
• Wavelet-analysis-based chaotic synchronization of vibrations of multilayer mechanical structures
• Stability and bifurcation in a model of the magnetic field of the earth
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