Local stability theory of solitary pulses in an active medium
From MaRDI portal
Publication:992329
DOI10.1016/0167-2789(96)00002-4zbMath1194.37049OpenAlexW2067147191MaRDI QIDQ992329
Evgeny A. Demekhin, Hsueh-Chia Chang, Dimitry I. Kopelevich
Publication date: 11 September 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(96)00002-4
Related Items
Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model ⋮ Numerical bifurcation and stability analysis of solitary pulses in an excitable reaction-diffusion medium ⋮ A spectral theory for fingering on a prewetted plane ⋮ Nonlinear dynamics of inclined films under low-frequency forcing ⋮ A novel analytic technique for the disintegration of coherent structure solutions of non-integrable and integrable nonlinear PDEs under forcing ⋮ Grassmannian spectral shooting ⋮ Solitary waves on inclined films: Flow structure and binary interactions ⋮ Two-dimensional pulse dynamics and the formation of bound states on electrified falling films ⋮ A class of nonlinear front evolution equations derived from geometry and conservation ⋮ Coherent Structures in Nonlocal Dispersive Active-Dissipative Systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Application of the method of spectral deformation to the Vlasov-Poisson system
- Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media
- The Eckhaus instability for traveling waves
- Local stability theory of the nerve impulse
- Oscillatory instability of traveling waves for a KdV-Burgers equation
- Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis
- Asymptotic stability of solitary waves
- Laminarizing effects of dispersion in an active-dissipative nonlinear medium
- Slow-motion manifolds, dormant instability, and singular perturbations
- Patterns of Propagating Pulses
- Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
- Viscoelastic behaviour of cellular solutions to the Kuramoto-Sivashinsky model
- Interaction dynamics of solitary waves on a falling film
- Formation of solitary waves on gas-sheared liquid layers
- Long Waves on Liquid Films
