Travelling waves for forced Fisher’s equation

DOI10.1016/0362-546X(86)90008-8zbMath0594.35088OpenAlexW2023194209MaRDI QIDQ3724839

Lawrence Turyn

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90008-8

zbMATH Keywords

chaostravelling wavesbifurcationheteroclinic orbitfunctionFisher's equationsMel'nikovpushed minimal wave

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Shocks and singularities for hyperbolic equations (35L67) Partial differential equations of mathematical physics and other areas of application (35Q99) Bifurcations in context of PDEs (35B32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence to pushed fronts
• An example of bifurcation to homoclinic orbits
• On two types of moving front in quasilinear diffusion
• Travelling fronts in nonlinear diffusion equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• The behavior of solutions of some non-linear diffusion equations for large time
• Averaging and Chaotic Motions in Forced Oscillations
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• Maximal displacement of branching brownian motion
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations