Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation
From MaRDI portal
Publication:1923677
DOI10.1006/jdeq.1996.0124zbMath0862.34012OpenAlexW2088423883MaRDI QIDQ1923677
Lambertus A. Peletier, William C. Troy
Publication date: 24 November 1996
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1996.0124
Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25)
Related Items
Optimal control problem for the extended Fisher-Kolmogorov equation ⋮ Instabilities induced by a weak breaking of a strong spatial resonance ⋮ Finite element methods for one dimensional fourth order semilinear partial differential equation ⋮ Global attractor of the extended Fisher-Kolmogorov equation in \(H^k\)spaces ⋮ Heteroclinic solutions for nonautonomous EFK equations ⋮ Travelling wave solutions of a fourth-order semilinear diffusion equation ⋮ Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the modified Kuramoto-Sivashinky equation in one and two space dimensions ⋮ Nonlinear Galerkin finite element methods for fourth-order bi-flux diffusion model with nonlinear reaction term ⋮ Oscillatory solutions of fourth order conservative systems via the Conley index ⋮ Regularity of global attractor for the fourth-order reaction-diffusion equation ⋮ Persistence of travelling waves in a generalized Fisher equation ⋮ The phase-plane picture for a class of fourth-order conservative differential equations ⋮ Morley FEM for the fourth-order nonlinear reaction-diffusion problems ⋮ Optimal system, invariance analysis of fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation using Lie symmetry approach ⋮ Minimal heteroclinics for a class of fourth order O.D.E. systems ⋮ On the crest factor for dissipative partial differential equations ⋮ One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\) ⋮ Elliptic equations with critical exponent on spherical caps of \(S^{3}\) ⋮ Heteroclinic solutions for the extended Fisher-Kolmogorov equation ⋮ Multibump periodic travelling waves in suspension bridges ⋮ Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations ⋮ PERIODIC SOLUTIONS FOR A FOURTH-ORDER EQUATION AND APPLICATIONS IN A MODEL OF STRUCTURAL MECHANICS ⋮ Attractor bifurcation for extended Fisher-Kolmogorov equation ⋮ Shooting methods and topological transversality ⋮ Explicit estimates on the torus for the sup-norm and the dissipative length scale of solutions of the Swift-Hohenberg equation in one and two space dimensions ⋮ Periodic solutions and their connecting orbits of Hamiltonian systems. ⋮ Existence and multiplicity results for heteroclinic orbits of second order Hamiltonian systems ⋮ Pulse-like spatial patterns described by higher-order model equations ⋮ Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces ⋮ Uniqueness of the stationary wave for the extended Fisher-Kolmogorov equation ⋮ Existence and construction of travelling wavefront solutions of Fisher equations with fourth-order perturbations ⋮ Stable patterns for fourth-order parabolic equations ⋮ A shooting method for the Swift-Hohenberg equation. ⋮ Chebyshev wavelets collocation method for extended Fisher Kolmogorov equations one and two space dimension