Nonlinear embeddings: applications to analysis, fractals and polynomial root finding

DOI10.1016/j.chaos.2017.04.021zbMath1373.26013arXiv1607.02889OpenAlexW2606589395MaRDI QIDQ1674340

Vladimir García-Morales

Publication date: 2 November 2017

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

Full work available at URL: https://arxiv.org/abs/1607.02889

zbMATH Keywords

partitionssuperposition principlefractalsirreversibilitypolynomial root finding

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Representation and superposition of functions (26B40) Numerical computation of roots of polynomial equations (65H04)

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Cites Work

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• Symmetry analysis of cellular automata
• The \(p\lambda n\) fractal decomposition: nontrivial partitions of conserved physical quantities
• Globally convergent homotopy methods: A tutorial
• Numerical factorization of multivariate complex polynomials
• Chemical oscillations, waves, and turbulence
• Thermodynamics based on the principle of least abbreviated action: Entropy production in a network of coupled oscillators
• Fractal surfaces from simple arithmetic operations
• Semipredictable dynamical systems
• Quantum mechanics and the principle of least radix economy
• Universal map for cellular automata
• Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice: Towards a Prelude of a "Field Theory of Chaos"
• The world of the complex Ginzburg-Landau equation
• Visual Complex Functions
• From deterministic cellular automata to coupled map lattices
• Numerical Linear Algebra Aspects of Globally Convergent Homotopy Methods
• A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science
• On Estimates in Number Theory