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- Periodic_travelling_wave abstract "In mathematics a periodic travelling wave (or wavetrain) is a periodic function of one-dimensional space that moves with constant speed. Consequently it is a special type of spatiotemporaloscillation that is a periodic function of both space and time. Periodic travelling waves play a fundamental role in many mathematicalequations, including self-oscillatory systems,excitable systems andreaction-diffusion-advection systems.Equations of these types are widely used as mathematical models of biology, chemistry and physics, and many examples in phenomena resembling periodic travelling waves havebeen found empirically.The mathematical theory of periodic travelling waves is most fullydeveloped for partial differential equations, but these solutionsalso occur in a number of other types of mathematical system,including integrodifferential equations, integrodifference equations,coupled map latticesandcellular automataAs well as being important in their own right, periodic travellingwaves are significant as the one-dimensional equivalent of spiral waves and target patterns in two-dimensional space, and of scroll waves in three-dimensional space.".
- Periodic_travelling_wave thumbnail Schematic_animation_of_a_periodic_travelling_wave.gif?width=300.
- Periodic_travelling_wave wikiPageExternalLink wavetrain.
- Periodic_travelling_wave wikiPageID "38176657".
- Periodic_travelling_wave wikiPageLength "28448".
- Periodic_travelling_wave wikiPageOutDegree "116".
- Periodic_travelling_wave wikiPageRevisionID "663494350".
- Periodic_travelling_wave wikiPageWikiLink Belousov-Zhabotinsky_reaction.
- Periodic_travelling_wave wikiPageWikiLink Belousov–Zhabotinsky_reaction.
- Periodic_travelling_wave wikiPageWikiLink Biology.
- Periodic_travelling_wave wikiPageWikiLink Category:Wave_mechanics.
- Periodic_travelling_wave wikiPageWikiLink Chaos_theory.
- Periodic_travelling_wave wikiPageWikiLink Chemical_clock.
- Periodic_travelling_wave wikiPageWikiLink Chemistry.
- Periodic_travelling_wave wikiPageWikiLink Contour_line.
- Periodic_travelling_wave wikiPageWikiLink Convection.
- Periodic_travelling_wave wikiPageWikiLink Convection-diffusion_equation.
- Periodic_travelling_wave wikiPageWikiLink Convection–diffusion_equation.
- Periodic_travelling_wave wikiPageWikiLink Dimension.
- Periodic_travelling_wave wikiPageWikiLink Dimension_(mathematics_and_physics).
- Periodic_travelling_wave wikiPageWikiLink Dirichlet_boundary_condition.
- Periodic_travelling_wave wikiPageWikiLink Ecology.
- Periodic_travelling_wave wikiPageWikiLink Empirical_evidence.
- Periodic_travelling_wave wikiPageWikiLink Equation.
- Periodic_travelling_wave wikiPageWikiLink Essential_spectrum.
- Periodic_travelling_wave wikiPageWikiLink Euclidean_space.
- Periodic_travelling_wave wikiPageWikiLink Excitable_medium.
- Periodic_travelling_wave wikiPageWikiLink File:Computer_simulation_of_a_chaotic_wake,_preceeded_by_a_periodic_travelling_wave,_in_the_invasion_of_prey_by_predators.gif.
- Periodic_travelling_wave wikiPageWikiLink File:Computer_simulation_of_target_pattern_waves_in_Kielder_forest_UK_using_a_predator_prey_model_loop_version_no_decay.gif.
- Periodic_travelling_wave wikiPageWikiLink File:Schematic_animation_of_a_periodic_travelling_wave.gif.
- Periodic_travelling_wave wikiPageWikiLink Fluid_dynamics.
- Periodic_travelling_wave wikiPageWikiLink Geometer_moth.
- Periodic_travelling_wave wikiPageWikiLink Ginzburg-Landau_theory.
- Periodic_travelling_wave wikiPageWikiLink Ginzburg–Landau_theory.
- Periodic_travelling_wave wikiPageWikiLink Gratis.
- Periodic_travelling_wave wikiPageWikiLink Homoclinic_orbit.
- Periodic_travelling_wave wikiPageWikiLink Hopf_bifurcation.
- Periodic_travelling_wave wikiPageWikiLink Instability.
- Periodic_travelling_wave wikiPageWikiLink Limit_cycle.
- Periodic_travelling_wave wikiPageWikiLink Magnetic_field.
- Periodic_travelling_wave wikiPageWikiLink Mathematical_analysis.
- Periodic_travelling_wave wikiPageWikiLink Mathematical_model.
- Periodic_travelling_wave wikiPageWikiLink Mathematics.
- Periodic_travelling_wave wikiPageWikiLink Nancy_Kopell.
- Periodic_travelling_wave wikiPageWikiLink Numerical_analysis.
- Periodic_travelling_wave wikiPageWikiLink Numerical_continuation.
- Periodic_travelling_wave wikiPageWikiLink Open-source_software.
- Periodic_travelling_wave wikiPageWikiLink Open_source_software.
- Periodic_travelling_wave wikiPageWikiLink Ordinary_differential_equation.
- Periodic_travelling_wave wikiPageWikiLink Oscillation.
- Periodic_travelling_wave wikiPageWikiLink Oscillation_theory.
- Periodic_travelling_wave wikiPageWikiLink Parameter.
- Periodic_travelling_wave wikiPageWikiLink Partial_differential_equation.
- Periodic_travelling_wave wikiPageWikiLink Partial_differential_equations.
- Periodic_travelling_wave wikiPageWikiLink Patterns_in_nature.
- Periodic_travelling_wave wikiPageWikiLink Periodic_function.
- Periodic_travelling_wave wikiPageWikiLink Physics.
- Periodic_travelling_wave wikiPageWikiLink Plane_wave.
- Periodic_travelling_wave wikiPageWikiLink Polynomial.
- Periodic_travelling_wave wikiPageWikiLink Predation.
- Periodic_travelling_wave wikiPageWikiLink Reaction-diffusion.
- Periodic_travelling_wave wikiPageWikiLink Reaction-diffusion_system.
- Periodic_travelling_wave wikiPageWikiLink Reaction–diffusion_system.
- Periodic_travelling_wave wikiPageWikiLink Red_grouse.
- Periodic_travelling_wave wikiPageWikiLink Robin_boundary_condition.
- Periodic_travelling_wave wikiPageWikiLink Semi-arid_climate.
- Periodic_travelling_wave wikiPageWikiLink Sine_wave.
- Periodic_travelling_wave wikiPageWikiLink Solar_cycle.
- Periodic_travelling_wave wikiPageWikiLink Solar_dynamo.
- Periodic_travelling_wave wikiPageWikiLink Spectrum_(functional_analysis).
- Periodic_travelling_wave wikiPageWikiLink Speed.
- Periodic_travelling_wave wikiPageWikiLink Stability_theory.
- Periodic_travelling_wave wikiPageWikiLink Steady_state.
- Periodic_travelling_wave wikiPageWikiLink Sun.
- Periodic_travelling_wave wikiPageWikiLink Sunspot.
- Periodic_travelling_wave wikiPageWikiLink Taylor-Couette_flow.
- Periodic_travelling_wave wikiPageWikiLink Taylor–Couette_flow.
- Periodic_travelling_wave wikiPageWikiLink Tiger_bush.
- Periodic_travelling_wave wikiPageWikiLink Time.
- Periodic_travelling_wave wikiPageWikiLink Vegetation.
- Periodic_travelling_wave wikiPageWikiLink Vole.
- Periodic_travelling_wave wikiPageWikiLink Wave.
- Periodic_travelling_wave wikiPageWikiLinkText "Periodic travelling wave".
- Periodic_travelling_wave wikiPageWikiLinkText "periodic travelling wave".
- Periodic_travelling_wave hasPhotoCollection Periodic_travelling_wave.
- Periodic_travelling_wave wikiPageUsesTemplate Template:For.
- Periodic_travelling_wave wikiPageUsesTemplate Template:Reflist.
- Periodic_travelling_wave subject Category:Wave_mechanics.
- Periodic_travelling_wave hypernym Function.
- Periodic_travelling_wave type ProgrammingLanguage.
- Periodic_travelling_wave type Mechanic.
- Periodic_travelling_wave comment "In mathematics a periodic travelling wave (or wavetrain) is a periodic function of one-dimensional space that moves with constant speed. Consequently it is a special type of spatiotemporaloscillation that is a periodic function of both space and time.".
- Periodic_travelling_wave label "Periodic travelling wave".
- Periodic_travelling_wave sameAs 周期進行波.
- Periodic_travelling_wave sameAs m.0pk_8fz.
- Periodic_travelling_wave sameAs Q7168650.
- Periodic_travelling_wave sameAs Q7168650.
- Periodic_travelling_wave wasDerivedFrom Periodic_travelling_wave?oldid=663494350.
- Periodic_travelling_wave depiction Schematic_animation_of_a_periodic_travelling_wave.gif.
- Periodic_travelling_wave isPrimaryTopicOf Periodic_travelling_wave.