## Snap-back repellers imply chaos in $$\mathbb{R}^n$$.(English)Zbl 0381.58004

### MSC:

 37C70 Attractors and repellers of smooth dynamical systems and their topological structure 54H20 Topological dynamics (MSC2010) 92D25 Population dynamics (general)
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### References:

 [1] Li, T.-Y; Yorke, J.A, Period three implies chaos, Amer. math. monthly, 82, 985-992, (1975) · Zbl 0351.92021 [2] Lorenz, E.N, Deterministic nonperiodic flow, J. atmos. sci., 20, 130-141, (1963) · Zbl 1417.37129 [3] {\scR. M. May}, Mathematical aspects of the dynamics of animal populations, to appear. [4] May, R.M, Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos, Science, 186, 645-647, (1974) [5] {\scJ. Guckenheimer, G. Oster, and A. Ipaktchi}, The dynamics of density dependent population models, to appear. · Zbl 0379.92016 [6] Beddington, J.R; Free, C.A; Lawton, J.H, Dynamic complexity in predator prey models framed in difference equations, Nature, 255, 58-60, (1975) [7] Smale, S, Differentiable dynamical systems, Bull. amer. math. soc., 73, 747-817, (1967) · Zbl 0202.55202 [8] {\scF. R. Marotto}, Doctoral Thesis, Boston University, Boston, Mass.
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