Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations
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[1] M. Rietkerk,et al. Evasion of tipping in complex systems through spatial pattern formation , 2021, Science.
[2] Denis D. Patterson,et al. COUP-TFI specifies the medial entorhinal cortex identity and induces differential cell adhesion to determine the integrity of its boundary with neocortex , 2021, Science Advances.
[3] Ryan N. Goh,et al. Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism , 2020, Nonlinearity.
[4] G. Dunne,et al. Resurgent trans-series for generalized Hastings–McLeod solutions , 2020, Journal of Physics A: Mathematical and Theoretical.
[5] BO DENGf. HOMOCLINIC BIFURCATIONS WITH NONHYPERBOLIC EQUILIBRIA , 2020 .
[6] J. Dunkel,et al. Defect formation dynamics in curved elastic surface crystals. , 2018, Soft matter.
[7] Björn Sandstede,et al. Unpeeling a Homoclinic Banana in the FitzHugh-Nagumo System , 2018, SIAM J. Appl. Dyn. Syst..
[8] William C. Troy,et al. The Role Of Painleve II In Predicting New Liquid Crystal Self-Assembly Mechanisms , 2018 .
[9] Rafael Monteiro. Horizontal patterns from finite speed directional quenching , 2017, 1707.09010.
[10] Rafael Monteiro,et al. Phase Separation Patterns from Directional Quenching , 2016, J. Nonlinear Sci..
[11] Kristian Kirsch,et al. Methods Of Modern Mathematical Physics , 2016 .
[12] Petra Koenig,et al. Dynamics Of Evolutionary Equations , 2016 .
[13] S. Megason,et al. Orientation of Turing-like Patterns by Morphogen Gradients and Tissue Anisotropies. , 2015, Cell systems.
[14] E. Knobloch,et al. Problems on Time-Varying Domains: Formulation, Dynamics, and Challenges , 2015 .
[15] Edgar Knobloch,et al. Problems on Time-Varying Domains: Formulation, Dynamics, and Challenges , 2014, Acta Applicandae Mathematicae.
[16] Arnd Scheel,et al. Triggered Fronts in the Complex Ginzburg Landau Equation , 2013, J. Nonlinear Sci..
[17] Todd Kapitula,et al. Spectral and Dynamical Stability of Nonlinear Waves , 2013 .
[18] Arnd Scheel,et al. A slow pushed front in a Lotka–Volterra competition model , 2012 .
[19] Jinho Baik,et al. Asymptotics of Tracy-Widom Distributions and the Total Integral of a Painlevé II Function , 2007, 0704.3636.
[20] Peter A. Clarkson,et al. Painlevé equations: nonlinear special functions , 2003 .
[21] Peter Szmolyan,et al. Extending slow manifolds near transcritical and pitchfork singularities , 2001 .
[22] Peter Szmolyan,et al. Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points - Fold and Canard Points in Two Dimensions , 2001, SIAM J. Math. Anal..
[23] Björn Sandstede,et al. Absolute and Convective Instabilities of Waves on Unbounded and Large Bounded Domains , 2022 .
[24] J. Chomaz,et al. Fully nonlinear global modes in slowly varying flows , 1999 .
[25] Rachel Kuske,et al. Pattern Formation in Systems with Slowly Varying Geometry , 1997, SIAM J. Appl. Math..
[26] G. J. M. Marée,et al. Slow Passage Through a Pitchfork Bifurcation , 1996, SIAM J. Appl. Math..
[27] P. Deift,et al. Asymptotics for the painlevé II equation , 1995 .
[28] Christopher Jones,et al. Geometric singular perturbation theory , 1995 .
[29] D. Crighton,et al. Instability of flows in spatially developing media , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.
[30] Daniel B. Henry. Geometric Theory of Semilinear Parabolic Equations , 1989 .
[31] Riecke,et al. Perfect wave-number selection and drifting patterns in ramped Taylor vortex flow. , 1987, Physical review letters.
[32] Busse,et al. Forced phase diffusion in a convection experiment. , 1987, Physical review letters.
[33] Hermann Riecke. Pattern Selection by Weakly Pinning Ramps , 1986 .
[34] W. H. Zurek,et al. Cosmological experiments in superfluid helium? , 1985, Nature.
[35] E. Ben-Jacob,et al. Wavelength Selection in Systems Far from Equilibrium , 1982 .
[36] S. P. Hastings,et al. A boundary value problem associated with the second painlevé transcendent and the Korteweg-de Vries equation , 1980 .
[37] Richard Haberman,et al. Slowly Varying Jump and Transition Phenomena Associated with Algebraic Bifurcation Problems , 1979 .
[38] Neil Fenichel. Geometric singular perturbation theory for ordinary differential equations , 1979 .
[39] T W B Kibble,et al. Topology of cosmic domains and strings , 1976 .