The method of parameter functionalization in the hopf bifurcation problem
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Publication:3810164
DOI10.1016/0362-546X(87)90095-2zbMath0661.34036OpenAlexW2006410804MaRDI QIDQ3810164
Victor S. Kozyakin, Mark A. Krasnosel'skii
Publication date: 1987
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(87)90095-2
Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
Related Items (13)
On a one-parameter family of delay population equations ⋮ Hopf bifurcations at infinity ⋮ Principal asymptotics in the problem on the Andronov-Hopf bifurcation and their applications ⋮ Travelling wave solutions for reaction-diffusion equations ⋮ Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer-van der Pol oscillator ⋮ Sliding Hopf bifurcation in interval systems ⋮ Nonlocal branches of cycles, bistability, and topologically persistent mixed mode oscillations ⋮ On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity ⋮ Andronov-Hopf bifurcation in systems with Preisach operator ⋮ Stability of large cycles in a nonsmooth problem with Hopf bifurcation at infinity ⋮ Hopf Bifurcation Generated by Small Nonlinear Terms ⋮ Small periodic solutions generated by sublinear terms ⋮ Hopf bifurcations in resonance 2:1
Cites Work
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- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- The Operator of Translation Along the Trajectories of Differential Equations
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