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Scaling symmetries in nonlinear dynamics. A view from parameter space

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Publication:1344707
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DOI10.1016/0167-2789(94)00161-IzbMath0888.58017MaRDI QIDQ1344707

Henry jun. Hurwitz, David Peak, Michael Frame

Publication date: 13 February 1995

Published in: Physica D (Search for Journal in Brave)


zbMATH Keywords

symmetryparameter spacescaling transformationquadratic-like maps


Mathematics Subject Classification ID

Topological dynamics (37B99)


Related Items (3)

CHARACTERIZATION OF THE RÖSSLER SYSTEM IN PARAMETER SPACE ⋮ Bifurcation rigidity ⋮ Misiurewicz point patterns generation in one-dimensional quadratic maps



Cites Work

  • On the iteration of a rational function: Computer experiments with Newton's method
  • The universal metric properties of nonlinear transformations
  • Fixed points of Feigenbaum's type for the equation \(f^ p(\lambda x)\equiv \lambda f(x)\)
  • Scaling of Mandelbrot sets generated by critical point preperiodicity
  • On the dynamics of polynomial-like mappings


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