BIFURCATION FROM AN EQUILIBRIUM OF THE STEADY STATE KURAMOTO–SIVASHINSKY EQUATION IN TWO SPATIAL DIMENSIONS

DOI10.1142/S0218127402004176zbMath1042.35021OpenAlexW1972745975MaRDI QIDQ4736334

Changpin Li, Guan-Rong Chen

Publication date: 9 August 2004

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

Full work available at URL: https://doi.org/10.1142/s0218127402004176

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32)

Related Items (7)

HOPF BIFURCATION OF A DELAYED DIFFERENTIAL EQUATION ⋮ Numerical solution of linear time-fractional Kuramoto-Sivashinsky equation via quintic B -splines ⋮ BIFURCATION FROM TWO EQUILIBRIA OF STEADY STATE SOLUTIONS FOR NON-REVERSIBLE AMPLITUDE EQUATIONS ⋮ Symmetry-breaking bifurcation in \(O(2)\times O(2)\)-symmetric nonlinear large problems and its application to the Kuramoto-Sivashinsky equation in two spatial dimensions ⋮ BIFURCATION ANALYSIS OF THE 1D AND 2D GENERALIZED SWIFT–HOHENBERG EQUATION ⋮ Bifurcation analysis of a modified Swift-Hohenberg equation ⋮ BIFURCATION ANALYSIS OF AN AMPLITUDE EQUATION

Cites Work

• Symmetry breaking Hopf bifurcations in equation with O(2) symmetry with application to the Kuramoto-Sivashinsky equation
• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• A particle model for the Kuramoto-Sivashinsky equation
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
• On Flame Propagation Under Conditions of Stoichiometry
• Bifurcation and stability of nontrivial solution to kuramoto-sivashinsky equation
• BIFURCATION ANALYSIS OF THE KURAMOTO–SIVASHINSKY EQUATION IN ONE SPATIAL DIMENSION
• Long Waves on Liquid Films

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