Prof. Ehud Meron - Publication between 1990-1999

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Articles in Journals

Elphick C., Meron E., and Spiegel E.A., “Patterns of Propagating Pulses”, SIAM J. Appl. Math. 50, 490-503 (1990). PDF
Elphick C., Meron E., Comment on ‘Solitary Waves Generated by Subcritical Instabilities in Dissipative Systems’, Phys. Rev. Lett. 65, 2476 (1990).
Elphick C., Meron E., Rinzel J. and Spiegel E.A., “Impulse Patterning and Relaxational Propagation in Excitable Media”, J. Theo. Biol. 146, 249-268 (1990).
Meron E., “The Role of Curvature and wavefront Interactions in Spiral-Wave Dynamics”, Physica D 49, 98-106 (1991).
Elphick C. and Meron E., “Dynamics of Phase Singularities in Two-Dimensional Oscillating Systems”, Physica D 53, 385-399 (1991).
Meron E., “Pattern Formation in Excitable Media”, Physics Reports 218, 1-66 (1992). PDF
Hagberg A. and Meron E., “Domain Walls in Nonequilibrium Systems and the Emergence of Persistent Patterns”, Phys. Rev. E 48, 705-708 (1993). PDF
Hagberg A. and Meron E., “Pattern Formation in Non-Gradient Reaction Diffusion Systems: The Effects of Front Bifurcations”, Nonlinearity 7, 805-835 (1994). Selected in 2005 to appear in the list of finest articles published since 1988. PDF
Hagberg A. and Meron E., “From Labyrinthine Patterns to Spiral Turbulence”, Phys. Rev. Lett. 72, 2494-2497 (1994). PDF
Hagberg A. and Meron E., “Complex Patterns in Reaction Diffusion Systems: A Tale of Two Front Instabilities”, Chaos 4, 477-484 (1994). PDF
Elphick C., Hagberg A. and Meron E., “Dynamic Front Transitions and Vortex Nucleation”, Phys. Rev. E 51, 3052-3058 (1995). PDF
Hagberg A., Meron E., Rubinstein I, and Zaltzman B., “Controlling Domain Patterns Far From Equilibrium”, Phys. Rev. Lett. 76, 427-430 (1996). PDF
Haim D., Li G., Ouyang Q., McCormick W.D., Swinney H.L., Hagberg A., and Meron E., “Breathing Spots in A Reaction Diffusion System”, Phys. Rev. Lett. 77, 190-193 (1996). PDF
Hagberg A. and Meron E., “The Dynamics of Curved Fronts: Beyond Geometry”, Phys. Rev. Lett. 78, 1166-1169 (1997). PDF
Hagberg A., Meron E., Rubinstein I, and Zaltzman B., “Order Parameter Equations for Front Transitions: Planar and Circular Fronts”, Phys. Rev. E, 55, 4450-4457 (1997). PDF
Elphick C., Hagberg A., Malomed B., and Meron E., “the Origin of Traveling Pulses in Bistable Systems”, Phys. Lett. A 230, 33-37 (1997). PDF
Hagberg A. and Meron E., “Kinematic Equations for Front Motion and Spiral-Wave Nucleation”, Physica A 249, 118-124 (1998). PDF
Hagberg A. and Meron E., “Propagation Failure in Excitable Media”, Phys. Rev. E. 57, 299-303 (1998). PDF
Hagberg A. and Meron E., “Order Parameter Equations for Front Transitions: Nonuniformly Curved Fronts”, Physica D 123, 460-473 (1998). PDF
Elphick C., Hagberg A., and Meron E., “A Phase Front Instability in Periodically Forced oscillatory Systems”, Phys. Rev. Lett. 80, 5007-5010 (1998). PDF
Elphick C., Hagberg A., and Meron E., “Multi-Phase Patterns in Periodically Forced Oscillatory Systems”, Phys. Rev. E 59 , 5285-5291 (1999). PDF
Bär M., Hagberg A., Meron E., and Thiele U., “Stratified Spatiotemporal Chaos in Anisotropic Reaction-Diffusion Systems”, Phys. Rev. Lett. 83, 2664-2667 (1999). PDF
Meron E., “Self Organization in Interface Dynamics and urban Development”, Disc. Dyn. Nat. Soc. 3, 125-136 (1999).

Articles in Conference Proceedings

Meron E., “The Effect of Wavefront Interactions on Pattern Formation in Excitable Media”, in Nonlinear Wave Processes in Excitable Media, edited by A.V. Holden, M. Markus, and G. Othmer (Plenum, New York, 1991).

Elphick C. and Meron E., “Localized and Extended Patterns in Reactive Media”, in Patterns and Dynamics in Reactive Media, edited by R. Aris, D.G. Aronson, and H.L. Swinney (Springer, New York, 1991).
Elphick C. and Meron E., “Vortex Interactions in the Complex Ginzburg-Landau Model”, in Nonlinear Phenomena Related to Growth and Form, edited by M. Ben-Amar, P. Pelce and P. Tabeling (Plenum, New York, 1991
).
Elphick C., Hagberg A. and Meron E., “Phase front solutions and instabilities in forced oscillations,” in Equadiff 99: Proceedings of the International Conference on Differential Equations (Berlin, 2000).