Matched asymptotic expansion approach to pulse dynamics for a three-component reaction-diffusion system
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Publication:2232746
DOI10.1016/j.jde.2021.09.026zbMath1475.35024arXiv2101.03311OpenAlexW3201903035MaRDI QIDQ2232746
Yasumasa Nishiura, Hiromasa Suzuki
Publication date: 8 October 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.03311
Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Initial value problems for second-order parabolic systems (35K45)
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Cites Work
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- Dissipative solitons in reaction diffusion systems. Mechanisms, dynamics, interaction
- Planar radial spots in a three-component FitzHugh-Nagumo system
- Pulse dynamics in a three-component system: Stability and bifurcations
- Pulse dynamics in a three-component system: Existence analysis
- Geometric theory of semilinear parabolic equations
- Boundary and interior transition layer phenomena for pairs of second- order differential equations
- Localized patterns in a three-component Fitzhugh-Nagumo model revisited via an action functional
- Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model
- A skeleton structure of self-replicating dynamics
- Butterfly catastrophe for fronts in a three-component reaction-diffusion system
- Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system
- Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system
- A Skeleton of Collision Dynamics: Hierarchical Network Structure among Even-Symmetric Steady Pulses in Binary Fluid Convection
- Spontaneous formation of travelling localized structures and their asymptotic behaviour in binary fluid convection
- Layer Oscillations in Reaction-Diffusion Systems
- Singular Limit Analysis of Stability of Traveling Wave Solutions in Bistable Reaction-Diffusion Systems
- Scattering of traveling spots in dissipative systems
- Localized patterns in reaction-diffusion systems
- Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
- Global bifurcation phenomena of travelling wave solutions for some bistable reaction-diffusion systems
- Nonexistence of Higher Dimensional Stable Turing Patterns in the Singular Limit
- Pattern Selection for Two Breathers
- Higher Dimensional SLEP Equation and Applications to Morphological Stability in Polymer Problems
- Spatio-temporal chaos for the Gray-Scott model
- Interaction of dissipative solitons: Particle-like behaviour of localized structures in a three-component reaction-diffusion system
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