Symmetry-breaking and fractal dependence on initial conditions in dynamical systems: One-dimensional noninvertible mappings

DOI10.1016/0960-0779(94)00146-HzbMath0912.58012OpenAlexW1984273993MaRDI QIDQ1129391

S. H. Smith

Publication date: 25 May 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)00146-h

zbMATH Keywords

dynamical systemssymmetry breaking

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Low-dimensional dynamical systems (37E99)

Related Items (2)

The Effects of a Constant Excitation Force on the Dynamics of an Infinite-Equilibrium Chaotic System Without Linear Terms: Analysis, Control and Circuit Simulation ⋮ Symmetry breaking and fractal dependence on initial conditions in dynamical systems: Ordinary differential equations of thermal convection

Cites Work

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• Boundary of Topological Chaos for Bimodal Maps of the Interval
• Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems: 1. The case of negative Schwarzian derivative

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