Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media

DOI10.1016/0167-2789(91)90131-RzbMath0738.35060OpenAlexW2008209896MaRDI QIDQ1181333

Yevgenij A. Demekhin, Gennadij Yu. Tokarev, Victor Ya. Shkadov

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90131-r

zbMATH Keywords

attractorsbifurcationsspatial-periodic structures

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Bifurcations in context of PDEs (35B32) Waves for incompressible viscous fluids (76D33)

Related Items

Stability analysis of a falling film flow down a plane with sinusoidal corrugations, Order parameter equations for long-wavelength instabilities, Traveling waves on vertical films: Numerical analysis using the finite element method, On symmetric long-wave patterns in two-layer flows, Stationary travelling-wave solutions of an unstable KdV-Burgers equation, Multi-hump stationary waves for a Korteweg-de Vries equation with nonlocal perturbations, Integral boundary layer relations in the theory of wave flows for capillary liquid films, Solitary waves on inclined films: Flow structure and binary interactions, Local stability theory of solitary pulses in an active medium, Compacton-like solutions of the hydrodynamic system describing relaxing media, Laminarizing effects of dispersion in an active-dissipative nonlinear medium, Development of dominating waves from small disturbances in falling viscous-fluid films, Numerical bifurcation analysis of the travelling waves on a falling liquid film, Towards an approximation of solitary-wave solutions of nonintegrable evolutionary PDEs via symmetry and qualitative analysis

Cites Work

• Large cells in nonlinear Marangoni convection
• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• Steady solutions of the Kuramoto-Sivashinsky equation
• Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
• Bifurcation of quasi-periodic solutions from equilibrium points of reversible dynamical systems
• Reversible systems
• Supersonic gas flow over a wavy surface
• Local theory of nonlinear analytic ordinary differential equations
• On steady-state travelling solutions of an evolution equation describing the behaviour of disturbances in active dissipative media
• Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation
• Reversible Diffeomorphisms and Flows
• On self-turbulization of a laminar flame
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item