Found 51 Documents (Results 1–51)
Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions. (English) Zbl 1540.35243
Eckhaus instability of stationary patterns in hyperbolic reaction-diffusion models on large finite domains. (English) Zbl 1498.35033
Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model. (English) Zbl 1475.37085
Reviewer: Alain Brillard (Riedisheim)
Fractional phase-field crystal modelling: analysis, approximation and pattern formation. (English) Zbl 1443.74160
Stability of periodic traveling waves in the Aliev-Panfilov reaction-diffusion system. (English) Zbl 1510.35135
Turbulence in the Ott-Antonsen equation for arrays of coupled phase oscillators. (English) Zbl 1338.34080
Reviewer: Carlo Laing (Auckland)
Instability of periodic traveling wave solutions in a modified Fitzhugh-Nagumo model for excitable media. (English) Zbl 1338.35242
Problems on time-varying domains: formulation, dynamics, and challenges. (English) Zbl 1332.35004
Reviewer: Oleg Dementiev (Chelyabinsk)
Bifurcation from rolls to multi-pulse planforms via reduction to a parabolic Boussinesq model. (English) Zbl 1347.35031
Bifurcation analysis of delay-induced periodic oscillations. (English) Zbl 1201.34105
Reviewer: Sergiy Yanchuk (Berlin)
Dynamics and bifurcations in the weak electrolyte model for electroconvection of nematic liquid crystals: a Ginzburg-Landau approach. (English) Zbl 1151.76488
Stability and bifurcations in the electroconvection of nematic liquid crystals. (English) Zbl 1164.76340
Reviewer: Boris V. Loginov (Ul’yanovsk)
Pattern formation. An introduction to methods. (English) Zbl 1087.00001
Cambridge: Cambridge University Press (ISBN 0-521-81750-1/hbk). x, 422 p. (2006).
Reviewer: Sergiy Yanchuk (Berlin)
Spiral instabilities in periodically forced extended oscillatory media. (English) Zbl 1108.35312
Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 777-782 (2005).
Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box. (English) Zbl 1043.37055
Reaction-diffusion systems with skew-gradient structure. (English) Zbl 1011.35071
Reviewer: Jan Cholewa (Katowice)
Pattern formation with a conservation law. (English) Zbl 0960.35007
Reviewer: A.Jeffrey (Newcastle upon Tyne)
Mathematical analysis of sideband instabilities with application to Rayleigh-Bénard convection. (English) Zbl 0989.76018
Mechanics: from theory to computation. Essays in honor of Juan-Carlos Simo. Papers invited by Journal of Nonlinear Science editors. New York, NY: Springer. 335-377 (2000).
The stability of standing waves with small group velocity. (English) Zbl 0946.35010
Reviewer: B.A.Malomed (Tel Aviv)
Benjamin memorial lecture: Side-band, Benjamin-Feir and Eckhaus instabilities. (English) Zbl 0954.76027
Sajjadi, S. G. (ed.) et al., Wind-over-wave couplings: perspectives and prospects. Proceedings of the conference held in Salford, GB, April 1997. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 69, 139-148 (1999).
Secondary instabilities of interfacial waves due to coupling with a long wave mode in a two-layer Couette flow. (English) Zbl 0952.76504
Double phase slips and spatiotemporal chaos in a model for parametrically excited standing waves. (English) Zbl 0937.35008
Reviewer: Rong Yuan (Beijing)
Spatio-temporal structures in a differential flow reactor with cubic autocatalator kinetics. (English) Zbl 0952.76095
Benjamin-Feir and Eckhaus instabilities with Galilean invariance: The case of interfacial waves in viscous shear flows. (English) Zbl 0947.76024
On asymptotic methods for bifurcation and stability: Confined Marangoni convection. (English) Zbl 0911.76022
Reviewer: P.J.Barratt (Glasgow)
The stability of roll solutions of the two-dimensional Swift-Hohenberg equation and the phase-diffusion equation. (English) Zbl 0865.35106
Reviewer: B.A.Malomed (Tel Aviv)
Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation. (English) Zbl 0861.35107
Modulated modulation equations. (English) Zbl 0866.35111
Mielke, A. (ed.) et al., Structure and dynamics of nonlinear waves in fluids. Proceedings of the IUTAM/ ISIMM symposium, Hannover, Germany, August 17–20, 1994. Singapore: World Scientific. Adv. Ser. Nonlinear Dyn. 7, 117-130 (1995).
Phase slips and the Eckhaus instability. (English) Zbl 0846.35032
Reviewer: I.Ginchev (Varna)
MSC:
35G25
A new approach to sideband-instabilities using the principle of reduced instability. (English) Zbl 0838.35011
Doelman, A. (ed.) et al., Nonlinear dynamics and pattern formation in the natural environment. Proceedings of the international conference held in Noordwijkerhout, The Netherlands, July 4-7, 1994. Harlow: Longman. Pitman Res. Notes Math. Ser. 335, 206-222 (1995).
Reviewer: L.Recke (Berlin)
Nonlinear phase diffusion equations for the long-wave instabilities of hexagons. (English) Zbl 0827.76023
Wavenumber selection and irregularity of spatially developing nonlinear Dean and Görtler vortices. (English) Zbl 0822.76031
Reviewer: A.Georgescu (Bucureşti)
Long wavelength instabilities of square patterns. (English) Zbl 0787.76024
MSC:
76E15
Bifurcation from a periodic orbit for a strongly resonant reversible autonomous vector field. (English) Zbl 0783.34030
Noise and pattern selection in the one-dimensional Swift-Hohenberg equation. (English) Zbl 0787.76023
MSC:
76E15
Stability limits of traveling waves and the transition to spatiotemporal chaos in the complex Ginzburg-Landau equation. (English) Zbl 0787.76026
MSC:
76E15
Drifting vortices in ramped Taylor vortex flow: Quantitative results from phase equation. (English) Zbl 0733.76028
New phenomena in the Eckhaus instability of thermal Rossby waves. (English) Zbl 0698.76032
MSC:
76B65
Corrections of the Eckhaus’ stability criterion for one-dimensional stationary structures. (English) Zbl 0664.76052
The secondary flow and its stability for natural convection in a tall vertical enclosure. (English) Zbl 0659.76050
Pattern competition and the decay of unstable patterns in quasi-one- dimensional systems. (English) Zbl 0645.76051
MSC:
76E15
On the Eckhaus instability for spatially periodic patterns. (English) Zbl 0589.58011
Reviewer: Y.Kozai
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