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math.DS2024
Homoclinic snaking of contact defects in reaction-diffusion equations
Timothy Roberts, Bjorn Sandstede
We apply spatial dynamical-systems techniques to prove that certain spatiotemporal patterns in reversible reaction-diffusion equations undergo snaking bifurcations. That is, in a n…
math.DS2019★ 2 cited
(In)Stability of Travelling Waves in a Model of Haptotaxis
K. E. Harley, P. van Heijster, R. Marangell +3
We examine the spectral stability of travelling waves of the haptotaxis model studied in Harley et al (2014a). In the process we apply Liénard coordinates to the linearised stabili…