Fronts and patterns with a dynamic parameter ramp
Fuente:
arXiv
Saved in:
| Main Authors: | Avery, Montie, Garcia-Lopez, Odalys, Goh, Ryan, Hosek, Benjamin, Shade, Ethan |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Selection of pushed pattern-forming fronts in the FitzHugh-Nagumo system
by: Avery, Montie, et al.
Published: (2026)
by: Avery, Montie, et al.
Published: (2026)
Stability of fronts in the diffusive Rosenzweig-MacArthur model
by: Ghazaryan, Anna, et al.
Published: (2024)
by: Ghazaryan, Anna, et al.
Published: (2024)
Designing reaction-cross-diffusion systems with Turing and wave instabilities
by: Villar-Sepúlveda, Edgardo, et al.
Published: (2024)
by: Villar-Sepúlveda, Edgardo, et al.
Published: (2024)
Geometry-induced pulse dynamics in a bulk-surface reaction-diffusion system for cell polarization
by: Watanabe, Riku
Published: (2026)
by: Watanabe, Riku
Published: (2026)
Slow-moving pattern interfaces in general directions for a two-dimensional Swift-Hohenberg-type equation
by: Hilder, Bastian, et al.
Published: (2026)
by: Hilder, Bastian, et al.
Published: (2026)
Diffusive synchronization of phase waves in the FitzHugh-Nagumo system
by: Avery, Montie, et al.
Published: (2026)
by: Avery, Montie, et al.
Published: (2026)
Pitchfork bifurcation along a slow parameter ramp: coherent structures in the critical scaling
by: Goh, Ryan, et al.
Published: (2024)
by: Goh, Ryan, et al.
Published: (2024)
Numerical Continuation and Bifurcation in Nonlinear PDEs: Stability, invasion and wavetrains in the Swift-Hohenberg equation
by: Lloyd, David, et al.
Published: (2025)
by: Lloyd, David, et al.
Published: (2025)
Pattern formation and nonlinear waves close to a 1:1 resonant Turing and Turing--Hopf instability
by: Hilder, Bastian, et al.
Published: (2025)
by: Hilder, Bastian, et al.
Published: (2025)
Linear convective stability of a front superposition with unstable connecting state
by: Garénaux, Louis, et al.
Published: (2025)
by: Garénaux, Louis, et al.
Published: (2025)
Pattern Localisation in the Swift-Hohenberg Equation via Slowly Varying Spatial Heterogeneity
by: Krause, Andrew L., et al.
Published: (2024)
by: Krause, Andrew L., et al.
Published: (2024)
How inertia affects autotoxicity-mediated vegetation dynamics: from close-to to far-from-equilibrium patterns
by: Consolo, Giancarlo, et al.
Published: (2026)
by: Consolo, Giancarlo, et al.
Published: (2026)
Fast-moving pattern interfaces close to a Turing instability in an asymptotic model for the three-dimensional Bénard-Marangoni problem
by: Hilder, Bastian, et al.
Published: (2024)
by: Hilder, Bastian, et al.
Published: (2024)
Nonlinear states of the conservative complex Swift-Hohenberg equation
by: Kusdiantara, Rudy, et al.
Published: (2025)
by: Kusdiantara, Rudy, et al.
Published: (2025)
Beyond water limitation in vegetation-autotoxicity patterning: a cross-diffusion model
by: Giannino, Francesco, et al.
Published: (2025)
by: Giannino, Francesco, et al.
Published: (2025)
Convectons in unbalanced natural doubly diffusive convection
by: Tumelty, J., et al.
Published: (2024)
by: Tumelty, J., et al.
Published: (2024)
Modeling competitive interactions and plant-soil feedback in vegetation dynamics
by: Marasco, Addolorata, et al.
Published: (2019)
by: Marasco, Addolorata, et al.
Published: (2019)
Novel reaction-diffusion PDE model for fingerprint-like pattern emergence via the Schnakenberg mechanism
by: Sepúlveda-Soto, Fabián, et al.
Published: (2025)
by: Sepúlveda-Soto, Fabián, et al.
Published: (2025)
Bounds on unstable spectrum for dispersive Hamiltonian PDEs
by: Bronski, Jared C, et al.
Published: (2024)
by: Bronski, Jared C, et al.
Published: (2024)
Homoclinic snaking of contact defects in reaction-diffusion equations
by: Roberts, Timothy, et al.
Published: (2024)
by: Roberts, Timothy, et al.
Published: (2024)
Patterned fronts in the wake of a parameter ramp in the complex Ginzburg Landau equation
by: Goh, Ryan, et al.
Published: (2026)
by: Goh, Ryan, et al.
Published: (2026)
Pattern formation and film rupture in a two-dimensional thermocapillary thin-film model of the Bénard-Marangoni problem
by: Böhmer, Stefano, et al.
Published: (2025)
by: Böhmer, Stefano, et al.
Published: (2025)
Supratransmission of rogue wave-like breathing solitons
by: Hasmi, Abrari Noor, et al.
Published: (2025)
by: Hasmi, Abrari Noor, et al.
Published: (2025)
Thermocapillary Thin Films: Periodic Steady States and Film Rupture
by: Brüll, Gabriele, et al.
Published: (2023)
by: Brüll, Gabriele, et al.
Published: (2023)
Dynamics of a coupled nonlocal PDE-ODE system with spatial memory: well-posedness, stability, and bifurcation analysis
by: Salmaniw, Yurij, et al.
Published: (2025)
by: Salmaniw, Yurij, et al.
Published: (2025)
Weak Diffusive Stability of Roll Solutions at the Zigzag Boundary
by: Chowdhary, Abhijit, et al.
Published: (2023)
by: Chowdhary, Abhijit, et al.
Published: (2023)
Characterising exchange of stability in scalar reaction-diffusion equations via geometric blow-up
by: Jelbart, Samuel, et al.
Published: (2024)
by: Jelbart, Samuel, et al.
Published: (2024)
Discrete Nonlinear Schrödinger versus Ablowitz-Ladik: Existence and dynamics of generalized focusing NLS-type lattices over a nonzero background
by: Hennig, Dirk, et al.
Published: (2025)
by: Hennig, Dirk, et al.
Published: (2025)
On the proximal dynamics between integrable and non-integrable members of a generalized Korteweg-de Vries family of equations
by: Karachalios, Nikos I., et al.
Published: (2025)
by: Karachalios, Nikos I., et al.
Published: (2025)
Shock waves of spherical/cylindrical KdV-B: Asymptotic, stability, superposition
by: Samokhin, Alexey
Published: (2026)
by: Samokhin, Alexey
Published: (2026)
Superposition of shock waves of the generalized BBM equation
by: Samokhin, Alexey
Published: (2026)
by: Samokhin, Alexey
Published: (2026)
Oscillatory Instabilities of a One-Spot Pattern in the Schnakenberg Reaction-Diffusion System in $3$-D Domains
by: Deng, Siwen, et al.
Published: (2024)
by: Deng, Siwen, et al.
Published: (2024)
A Weakly Nonlinear Theory for Pattern Formation in Structured Models with Localized Solutions
by: Ridgway, Wesley J. M., et al.
Published: (2025)
by: Ridgway, Wesley J. M., et al.
Published: (2025)
Localized patterns in the Gierer Meinhardt model on a cycle graph
by: Kolokolnikov, Theodore, et al.
Published: (2024)
by: Kolokolnikov, Theodore, et al.
Published: (2024)
Complex dynamics and pattern formation in a diffusive epidemic model with an infection-dependent recovery rate
by: Khateeb, Wael El, et al.
Published: (2025)
by: Khateeb, Wael El, et al.
Published: (2025)
Orbital Stability of Smooth Traveling Solitary Waves to the Fornberg-Whitham Equation
by: Deng, Xijun, et al.
Published: (2026)
by: Deng, Xijun, et al.
Published: (2026)
Long time dynamics of solutions to $p$-Laplacian diffusion problems with bistable reaction terms
by: Folino, Raffaele, et al.
Published: (2020)
by: Folino, Raffaele, et al.
Published: (2020)
Bifurcation and Asymptotics of Cubically Nonlinear Transverse Magnetic Surface Plasmon Polaritons
by: Dohnal, Tomáš, et al.
Published: (2023)
by: Dohnal, Tomáš, et al.
Published: (2023)
Phase sinks and sources around two-dimensional periodic-wave solutions of reaction-diffusion-advection systems
by: Melinand, Benjamin, et al.
Published: (2024)
by: Melinand, Benjamin, et al.
Published: (2024)
Coherent Structures in Flame Fronts
by: Aitzhan, Sultan, et al.
Published: (2025)
by: Aitzhan, Sultan, et al.
Published: (2025)
Similar Items
-
Selection of pushed pattern-forming fronts in the FitzHugh-Nagumo system
by: Avery, Montie, et al.
Published: (2026) -
Stability of fronts in the diffusive Rosenzweig-MacArthur model
by: Ghazaryan, Anna, et al.
Published: (2024) -
Designing reaction-cross-diffusion systems with Turing and wave instabilities
by: Villar-Sepúlveda, Edgardo, et al.
Published: (2024) -
Geometry-induced pulse dynamics in a bulk-surface reaction-diffusion system for cell polarization
by: Watanabe, Riku
Published: (2026) -
Slow-moving pattern interfaces in general directions for a two-dimensional Swift-Hohenberg-type equation
by: Hilder, Bastian, et al.
Published: (2026)