On bifurcation and chaos in a discrete dynamical system

DOI10.1007/s12591-008-0018-yzbMath1185.37107OpenAlexW2018642657MaRDI QIDQ1032047

Rajendra Pant

Publication date: 23 October 2009

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-008-0018-y

zbMATH Keywords

fixed pointschaosbifurcationdiscrete dynamical systemsperiodic pointsdivisibilityhyperbolic fixed points

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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Cites Work

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• A first course in discrete dynamical systems
• MEIR-KEELER TYPE FIXED POINT THEOREMS AND DYNAMICS OF FUNCTIONS
• Applications of Fixed Point Theorems in Divisibility of Polynomials