On chaotic wave patterns in periodically forced steady-state KdVB and extended KdVB equations

DOI10.1098/rspa.2005.1481zbMath1186.37093OpenAlexW2156623060MaRDI QIDQ5427650

Michael P. Mortell, Oleg Rasskazov, Edward A. Cox, Alexei V. Pokrovskii

Publication date: 21 November 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2005.1481

zbMATH Keywords

chaotic behaviourtopological hyperbolicityextended Korteweg-de Vries-burgersperiodically forced Korteweg-de Vries-Burgers

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Almost and pseudo-almost periodic solutions to PDEs (35B15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (6)

Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm ⋮ Modulation theory for the steady forced KdV-Burgers equation and the construction of periodic solutions ⋮ A stability analysis of periodic solutions to the steady forced Korteweg-de Vries-Burgers equation ⋮ Soliton interaction with external forcing within the Korteweg–de Vries equation ⋮ Topological degree in analysis of chaotic behavior in singularly perturbed systems ⋮ Unifying the steady state resonant solutions of the periodically forced KdVB, mKdVB, and eKdVB equations

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