Localised spatial structures in the Thomas model
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Publication:2076739
DOI10.1016/j.matcom.2021.10.030OpenAlexW3211975201MaRDI QIDQ2076739
Fahad Al Saadi, Annette L. Worthy, Haifaa Alrihieli, Mark I. Nelson
Publication date: 22 February 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.10.030
homoclinic snakingTuring bifurcationweakly nonlinear stability analysislocalised patternsbelyakov-Devaney transition
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Cites Work
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- A non-linear analysis for spatial structure in a reaction-diffusion model
- Defect-mediated snaking: a new growth mechanism for localized structures
- Snakes and ladders: localized states in the Swift-Hohenberg equation
- Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
- Exponential asymptotics of localised patterns and snaking bifurcation diagrams
- A simple global characterization for normal forms of singular vector fields
- Hysteresis, oscillations, and pattern formation in realistic immobilized enzyme systems
- A case of the generation of a periodic motion with homoclinic curves
- Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation
- Cellular buckling in long structures
- Long-time behavior of the solutions of Murray-Thomas model for interacting chemicals
- Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
- Pattern formation in a nonlinear model for animal coats
- Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
- Dissecting the snake: transition from localized patterns to spike solutions
- Bistability, wave pinning and localisation in natural reaction-diffusion systems
- Spatially localized structures in lattice dynamical systems
- Dynamics and spatiotemporal pattern formations of a homogeneous reaction-diffusion Thomas model
- Predicting the bifurcation structure of localized snaking patterns
- A three level finite element approximation of a pattern formation model in developmental biology
- Localised structures in a virus-host model
- Breathing pulses in singularly perturbed reaction-diffusion systems
- Spatially localized states in Marangoni convection in binary mixtures
- Snakes, Ladders, and Isolas of Localized Patterns
- Homoclinic snaking: Structure and stability
- Homoclinic Snakes Bounded by a Saddle-Center Periodic Orbit
- Localized patterns and semi-strong interaction, a unifying framework for reaction–diffusion systems
- Nonlinear Physics of Ecosystems
- MULTIPARAMETRIC BIFURCATIONS IN AN ENZYME-CATALYZED REACTION MODEL
- Pattern formation outside of equilibrium
- Moving and Breathing Localized Structures in Reaction-diffusion Systems
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