Bifurcation in a complex-valued wave-field model

DOI10.1016/0167-2789(83)90015-5zbMath1194.37077OpenAlexW1981822784MaRDI QIDQ995189

Marijke F. Augusteijn, Ernst Breitenberger

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(83)90015-5

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Waves, bifurcations, and solitons in a model with sixfold symmetry ⋮ Bifurcations in the slow-fluctuation technique

Cites Work

• 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
• Integration of near-resonant systems in slow-fluctuation approximation
• The elastic pendulum: A nonlinear paradigm
• Stability of constant-amplitude motions in slow-fluctuation approximation
• Root parities and phase behavior in the slow-fluctuation technique
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