A Model Function for Polynomial Rates in Discrete Dynamical Systems

Applied Mathematics Letters

Volumn 17, Issue 1, 2004, Pages 1-5

  Huls T ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

Bifurcation; Discrete dynamical systems; Polynomial rate of convergence

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES;

DISCRETE DYNAMICAL SYSTEMS; HETEROCLINIC ORBITS; PARAMETERIZED SYSTEMS; PITCHFORK BIFURCATION; POLYNOMIAL RATE OF CONVERGENCE; TAYLOR EXPANSION;

POLYNOMIALS;

EID: 9144229424     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(04)90001-8     Document Type: Article

References (6)

1. Y.A. Kuznetsov, Elements of Applied Bifurcation Theory, Second Edition, Springer-Verlag, New York, (1998).
2. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, (1990).
3. J. Carr, Applications of Centre Manifold Theory, Springer-Verlag, New York, (1981).
4. T. Hüls and Y. Zou, Polynomial estimates and discrete saddle-node homoclinic orbits, J. Math. Anal. Appl. 256 (1), 115-126, (2001).
5. T. Hüls, Numerische Approximation nicht-hyperbolischer heterokliner Orbits, Ph.D. Thesis, Universität Bielefeld, Shaker-Verlag, Aachen, (2003).
6. G. Szekeres, Regular iteration of real and complex functions, Acta Math. 100, 203-258, (1958).