Continuation of spiral waves

DOI10.1016/j.physd.2007.02.005zbMath1114.35099OpenAlexW2143650548MaRDI QIDQ882332

Harald Engel, Grigory Bordyugov

Publication date: 23 May 2007

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2007.02.005

zbMATH Keywords

Barkley modelNeumann boundary-value problemnew numerical methodSTEADY

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57)

Related Items (10)

The dynamics of chimera states in heterogeneous Kuramoto networks ⋮ Kinematics of rigidly rotating spiral waves ⋮ A numerical method for the dynamics and stability of spiral waves ⋮ Planar, solitary, and spiral waves of the Burgers-CGL equations for flames governed by a sequential reaction ⋮ Continuation methods for time-periodic travelling-wave solutions to evolution equations ⋮ Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications ⋮ Hysteresis phenomenon in the dynamics of spiral waves rotating around a hole ⋮ Analytical approximations for spiral waves ⋮ HARMONIC ANALYSIS OF OSCILLATORS THROUGH STANDARD NUMERICAL CONTINUATION TOOLS ⋮ Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model

Uses Software

• STEADY
• AUTO
• FFTW
• AUTO2000
• HomCont

Cites Work

• Fast and slow waves in the FitzHugh-Nagumo equation
• Rotating spiral waves in a modified Fitz-Hugh-Nagumo model
• Foundations of synergetics. II: Complex patterns
• Stable bound states of pulses in an excitable medium
• Computing absolute and essential spectra using continuation
• The world of the complex Ginzburg-Landau equation
• Universal limit of spiral wave propagation in excitable media
• Pattern formation outside of equilibrium
• Efficient Numerical Continuation and Stability Analysis of Spatiotemporal Quadratic Optical Solitons
• Computation of Spiral Spectra
• Spiral Waves in Nonlocal Equations

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