On periodically modulated rolls in the generalized Swift-Hohenberg equation: Galerkin' approximations

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
On radial solutions of the Swift-Hohenberg equation
Exponential asymptotics of localised patterns and snaking bifurcation diagrams
Normal form for spatial dynamics in the swift-hohenberg equation
Hamiltonian dynamics near nontransverse homoclinic orbit to saddle-focus equilibrium
Advanced synergetics. Instability hierarchies of self-organizing systems and devices
The Hamiltonian Hopf bifurcation
A reduction principle for nonautonomous systems in infinite-dimensional spaces
Applications of centre manifold theory
Homoclinic orbits in Hamiltonian systems
Large patterns of elliptic systems in infinite cylinders
Essential manifolds for an elliptic problem in an infinite strip
Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation
Instability and stability of rolls in the Swift-Hohenberg equation
Existence and stability of spatially localized patterns
Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
Wave-solutions of reversible systems and applications
Abundance of entire solutions to nonlinear elliptic equations by the variational method
Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
A spatial dynamics approach to three-dimensional gravity-capillary steady water waves
Spots in the Swift--Hohenberg Equation
Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift–Hohenberg equation as an example
Particle states of a quantized meson field
Water waves as a spatial dynamical system; infinite depth case
Fronts, traveling fronts, and their stability in the generalized Swift-Hohenberg equation
Snakes, Ladders, and Isolas of Localized Patterns
To Snake or Not to Snake in the Planar Swift–Hohenberg Equation
Localized radial solutions of the Swift–Hohenberg equation
Multi-pulse evolution and space-time chaos in dissipative systems
Plane Kolmogorov flows and Takens–Bogdanov bifurcation without parameters: The doubly reversible case
Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation
Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems
Instability of small stationary localized solutions to a class of reversible 1+1 PDEs
ON GEOMETRICAL PROPERTIES OF TWO-DIMENSIONAL DIFFEOMORPHISMS WITH HOMOCLINIC TANGENCIES
Complex dynamics and bifurcations in a Hamiltonian system having a transversal homoclinic orbit to a saddle focus
Recent Developments in Rayleigh-Bénard Convection
On small stationary localized solutions for the generalized 1-D Swift–Hohenberg equation
Attractors for modulation equations on unbounded domains-existence and comparison
Existence of quasipatterns in the superposition of two hexagonal patterns
Localized Radial Roll Patterns in Higher Space Dimensions
Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps
Pattern formation outside of equilibrium
On two-dimensional area-preserving diffeomorphisms with infinitely many elliptic islands
Dynamical phenomena near a saddle-focus homoclinic connection in a Hamiltonian system