TRAVELLING WAVES WITH SPATIALLY RESONANT FORCING: BIFURCATIONS OF A MODIFIED LANDAU EQUATION

DOI10.1142/S0218127493001148zbMath0896.34030OpenAlexW2005920310MaRDI QIDQ4375345

M. R. E. Proctor, Paul Glendinning

Publication date: 6 October 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127493001148

zbMATH Keywords

travelling wavesbifurcationoscillatoryinvariant curvesaddle nodevan der Pol-Duffing equationnonreflexionally invariant system

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (6)

Time series analysis of physical systems possessing homoclinicity ⋮ Forcing oscillatory media: phase kinks vs. synchronization. ⋮ Towards a quasi-periodic mean field theory for globally coupled oscillators ⋮ Experimental Analysis of Codimension-2 Bifurcations in a Periodically-Forced Opto-Thermal Oscillator ⋮ Pinning and locking of discrete waves ⋮ Numerical detection and continuation of saddle-node homoclinic bifurcations of codimension one and two

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