The dynamics of a fold-and-twist map
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Publication:344744
DOI10.1016/j.indag.2016.07.002zbMath1382.37042OpenAlexW2490188683MaRDI QIDQ344744
Publication date: 24 November 2016
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.indag.2016.07.002
Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Bifurcations of singular points in dynamical systems (37G10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)
Related Items (2)
Simplicial complexes of triangular Ferrers boards ⋮ Periodicity and Chaos Amidst Twisting and Folding in Two-Dimensional Maps
Uses Software
Cites Work
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- Chaos and quasi-periodicity in diffeomorphisms of the solid torus
- The dynamics of the Hénon map
- Computational chaos - a prelude to computational instability
- Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance `bubble'
- A two-dimensional mapping with a strange attractor
- On iterations of \(1-\alpha x^2\) on \((-1,1)\)
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- Abundance of strange attractors
- Strange attractors in saddle-node cycles: Prevalence and globality
- The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol'd resonance web
- Sensitivity problems related to certain bifurcations in non-linear recurrence relations
- Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing
- Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms
- Towards global models near homoclinic tangencies of dissipative diffeomorphisms
- Strange attractors in higher dimensions
- BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
- Deterministic Nonperiodic Flow
- Elements of applied bifurcation theory
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