Bifurcations and Attractor-Repeller Splittings of Non-Saddle Sets

Author:

Barge Héctor,Sanjurjo José M. R.

Funder

Ministerio de Economía y Competitividad

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference45 articles.

1. Athanassopoulos, K.: Explosions near isolated unstable attractors. Pac. J. Math. 210(2), 201–214 (2003)

2. Auslander, J., Bhatia, N.P., Seibert, P.: Attractors in dynamical systems. Bol. Soc. Mat. Mex. 9, 55–66 (1964)

3. Barge, H., Sanjurjo, J.M.R.: Dissonant points and the region of influence of non-saddle sets, Preprint

4. Barge, H., Sanjurjo, J.M.R.: Unstable manifold, Conley index and fixed points of flows. J. Math. Anal. Appl. 420(1), 835–851 (2014)

5. Bhatia, N.P.: Attraction and nonsaddle sets in dynamical systems. J. Diff. Equ. 8, 229–249 (1970)

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1. Shape index, Brouwer degree and Poincaré–Hopf theorem;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-09-14

2. Čech cohomology, homoclinic trajectories and robustness of non-saddle sets;Discrete & Continuous Dynamical Systems;2021

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