On periodic motion and bifurcations in three-dimensional nonlinear systems

DOI10.1007/s10958-015-2469-3zbMath1345.37016OpenAlexW833003088MaRDI QIDQ744896

Anatoly Martynyuk, N. V. Nikitina

Publication date: 12 October 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2469-3

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Bifurcation processes in a physical model ⋮ 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)
• DYNAMICS OF TWO COUPLED CHUA'S CIRCUITS
• ANALYTICS OF HOMOCLINIC BIFURCATIONS IN THREE-DIMENSIONAL SYSTEMS
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