On the bifurcation from critical homoclinic orbits in N-dimensional maps

Discrete and Continuous Dynamical Systems

Volumn 3, Issue 2, 1997, Pages 289-303

  Battelli, Flaviano ^a   Lazzari, Claudio ^b  

^a Fac di Ingegneria Univ   (Italy)

^b UNIVERSITY OF URBINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031502146     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1997.3.289     Document Type: Article

References (12)

1. F. Battelli, Perturbing diffeomorphism which have heteroclinic orbits with semi-hyperbolic fixed points, Dyn. Syst. Appl., 3 (1994), 305-332.
2. R. Bellman, "Introduction to Matrix Analysis," McGraw-Hill, New York, 1970.
3. J. Cronin, "Fixed Points and Topological Degree in Nonlinear Analysis", Math. Surveys n.11, A.M.S., Providence, 1964.
4. M. Fečkan, Bifurcation of heteroclinic orbits for diffeomorphisms, Application of Math., 36 (1991), 355-367.
5. L. Gardini, Homoclinic bifurcation in n-dimensional endomorphisms due to expanding fixed points, Nonl. Anal., 23 (1994), 1039-1089.
6. D. Henry, "Geometric Theory of Semilinear Parabolic Equations," Lect. Notes Math., vol. 840, Springer Verlag, Berlin, 1981.
7. C. Lazzari, Persistence of heteroclinic solutions on center manifolds of perturbed maps, Dyn. Sys. Appl., to appear.
8. H. Lorenz, "Nonlinear Dynamical Economic and Chaotic Motion," Springer Verlag, New York, 1989.
9. n, J. Math.Anal. Appl., 63 (1978), 199-223.
10. _, Some dynamics of second order unimodal difference schemes, Nonl. Anal., 18 (1992), 277-286.
11. H.C. Morris, A.N. Ryan, and R.K. Dodd, Periodic solutions and chaos in a delay differential equation modelling haematopoesys, Nonl. Anal., 7 (1983), 623-660.
12. K.J. Palmer, Existence of a transverse heteroclinic point in a degenerate case, Rocky Mountain J. Math., 20 (1990), 1099-1119.