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A case study of multiple wave solutions in a reaction-diffusion system using invariant manifolds and global bifurcations

Villar-Sepúlveda, Edgardo et al.
arXiv (All) · Papers
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35q9237n25chaotic-dynamicsdynamical-systems
A thorough analysis is performed to find traveling waves in a qualitative reaction-diffusion system inspired by a predator-prey model. We provide rigorous results coming from a standard local stability analysis, numerical bifurcation analysis, and relevant computations of invariant manifolds to exhi
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