Oscillatory motions of multiple spikes in three-component reaction-diffusion systems
DOI10.1007/S00332-024-10058-YMaRDI QIDQ6588233
Jiaojiao Zhang, Wen Yang, Shuangquan Xie
Publication date: 15 August 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
matched asymptotic methodsreduction methodsmultiple Hopf bifurcationsthree-component reaction-diffusion systemscoexistence of multiple oscillatory moving spikes
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Pattern formations in context of PDEs (35B36)
Cites Work
- Title not available (Why is that?)
- Spatially periodic and aperiodic multi-pulse patterns in the one-dimensional Gierer-Meinhardt equation
- Slow translational instabilities of spike patterns in the one-dimensional Gray-Scott model
- Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model
- Stable spike clusters for the precursor Gierer-Meinhardt system in \(\mathbb {R}^2\)
- Stability analysis of Turing patterns generated by the Schnakenberg model
- The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime
- The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space
- Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system
- Stable and unstable periodic spiky solutions for the Gray-Scott system and the Schnakenberg system
- Large stable pulse solutions in reaction-diffusion equations
- A stability index analysis of 1-D patterns of the Gray-Scott model
- Breathing pulses in singularly perturbed reaction-diffusion systems
- The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray–Scott Model
- The Dynamics of Multispike Solutions to the One-Dimensional Gierer--Meinhardt Model
- The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime
- Oscillatory instabilities and dynamics of multi-spike patterns for the one-dimensional Gray-Scott model
- Localized patterns in reaction-diffusion systems
- Pattern formation in the one-dimensional Gray - Scott model
- Stable spike clusters for the one-dimensional Gierer–Meinhardt system
- The Existence and Stability of Asymmetric Spike Patterns for the Schnakenberg Model
- Hopf bifurcation of spike solutions for the shadow GiererMeinhardt model
- Complex oscillatory motion of multiple spikes in a three-component Schnakenberg system
- Hopf bifurcation from spike solutions for the weak coupling Gierer–Meinhardt system
- Competition instabilities of spike patterns for the 1D Gierer–Meinhardt and Schnakenberg models are subcritical
- Moving and jumping spot in a two-dimensional reaction–diffusion model
- Moving and Breathing Localized Structures in Reaction-diffusion Systems
- Pattern Formation and Transition to Chaos in a Chemotaxis Model of Acute Inflammation
- Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains
- The stability of spike solutions to the one-dimensional Gierer-Meinhardt model
This page was built for publication: Oscillatory motions of multiple spikes in three-component reaction-diffusion systems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6588233)