Analytics of period doubling

DOI10.1007/BF01239020zbMath0669.58016MaRDI QIDQ1118878

Paul E. Phillipson

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Feigenbaum scenarioperiod doublingapproximate numerical analysisinterval mappings

Mathematics Subject Classification ID

Topological dynamics (37B99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Exact period-four solutions of a family of n-dimensional quadratic maps via harmonic balance and Gröbner bases

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Regular and stochastic motion
• Quantitative universality for a class of nonlinear transformations
• On finite limit sets for transformations on the unit interval
• Simple mathematical models with very complicated dynamics

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