A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds
A quadratic Lyapunov function is demonstrated for the noninvertible planar Ricker map (x, y) → (xe^{r−x−αy}, ye^{s−y−βx}) which shows that for α,β > 0, and 0 < r, s ≤ 2 all orbits of the planar Ricker map converge to a fixed point. We establish that for 0<r, s<2, whenever a positive equi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis
2023
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| Subjects: | |
| Online Access: | https://repository.londonmet.ac.uk/8616/1/A%20global%20picture%20for%20the%20planar%20Ricker%20map%20convergence%20to%20fixed%20points%20and%20identification%20of%20the%20stable%20unstable%20manifolds.pdf |