Dynamics of two interfaces in a hybrid system with jump-type heterogeneity
From MaRDI portal
Publication:351465
DOI10.1007/s13160-013-0100-xzbMath1384.37102OpenAlexW2078009037MaRDI QIDQ351465
Kei Nishi, Yasumasa Nishiura, Takashi Teramoto
Publication date: 11 July 2013
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13160-013-0100-x
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Second-order parabolic systems (35K40)
Related Items (7)
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems ⋮ Arbitrarily weak head-on collision can induce annihilation: the role of hidden instabilities ⋮ Reduction approach to the dynamics of interacting front solutions in a bistable reaction-diffusion system and its application to heterogeneous media ⋮ Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model ⋮ Heterogeneity-induced effects for pulse dynamics in FitzHugh-Nagumo-type systems ⋮ Annihilation of two interfaces in a hybrid system ⋮ Traveling Pulse Solutions in a Three-Component FitzHugh--Nagumo Model
Cites Work
- Unnamed Item
- Numerical approach to transient dynamics of oscillatory pulses in a bistable reaction-diffusion system
- Singular perturbation approach to stability properties of travelling wave solutions of reaction-diffusion systems
- Dynamics of front solutions in a specific reaction-diffusion system in one dimension
- Geometric theory of semilinear parabolic equations
- One way traffic of pulses in a neuron
- Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system
- Dynamics of travelling breathers arising in reaction-diffusion systems (ODE modelling approach)
- Complex pattern formation in reaction-diffusion systems with spatially varying parameters
- Inhomogeneity-induced bifurcation of stationary and oscillatory pulses
- Bifurcations of front dynamics in a reaction-diffusion system with spatial inhomogeneities
- Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system
- Front dynamics in heterogeneous diffusive media
- Bifurcation phenomena from standing pulse solutions in some reaction-diffusion systems
- Non-annihilation of travelling pulses in a reaction-diffusion system.
- Dynamics of traveling pulses in heterogeneous media of jump type
- On the diffraction of autowaves
- Wave-Blocking Phenomena in Bistable Reaction-Diffusion Systems
- Pinned fronts in heterogeneous media of jump type
- Scattering of traveling spots in dissipative systems
- Front Interactions in a Three-Component System
- Dynamics of traveling pulses in heterogeneous media
- Localized patterns in reaction-diffusion systems
- Propagation Phenomena in a Bistable Reaction-Diffusion System
- A free boundary problem arising in some reacting–diffusing system
- Semistrong Pulse Interactions in a Class of Coupled Reaction-Diffusion Equations
- Reflected Waves in an Inhomogeneous Excitable Medium
- Elements of applied bifurcation theory
- Hopf bifurcation of travelling pulses in some bistable reaction-diffusion systems
- The motion of weakly interacting pulses in reaction-diffusion systems
This page was built for publication: Dynamics of two interfaces in a hybrid system with jump-type heterogeneity
