منابع مشابه
From periodic travelling waves to travelling fronts in the spike-diffuse-spike model of dendritic waves.
In the vertebrate brain excitatory synaptic contacts typically occur on the tiny evaginations of neuron dendritic surface known as dendritic spines. There is clear evidence that spine heads are endowed with voltage-dependent excitable channels and that action potentials invade spines. Computational models are being increasingly used to gain insight into the functional significance of a spine wi...
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We study Klein-Gordon chains with attractive nearest neighbour forces and convex on-site potential, and show that there exists a two-parameter family of periodic travelling waves (wave trains) with unimodal and even profile functions. Our existence proof is based on a saddle-point problem with constraints and exploits the invariance properties of an improvement operator. Finally, we discuss the...
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The existence question for two-dimensional symmetric steady waves travelling on the surface of a deep ocean beneath a heavy elastic membrane is analyzed as a problem in bifurcation theory. The behaviour of the two-dimensional cross-section of the membrane is modelled as a thin (unshearable), heavy, hyperelastic Cosserat rod, and the fluid beneath is supposed to be in steady two-dimensional irro...
متن کاملPeriodic travelling waves in cyclic predator-prey systems
Jonathan A. Sherratt Centre for Theoretical Modelling in Medicine, Department of Ma thema tie, Heriot-Watt University, Edinburgh EH14 4AS, U.K. E-mail: jasbma.hw.ac.uk Abstract Predation is an established cause of cycling in prey species. Here, the ability of predation to explain periodic travelling waves in prey populations, which have recently been found in a number of spatiotemporal field st...
متن کاملPeriodic Travelling Waves and Compactons in Granular Chains
We study the propagation of an unusual type of periodic travelling waves in chains of identical beads interacting via Hertz’s contact forces. Each bead periodically undergoes a compression phase followed by a free flight, due to special properties of Hertzian interactions (fully nonlinear under compression and vanishing in the absence of contact). We prove the existence of such waves close to b...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1999
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-47-1-109-114