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Newton's Method Applied to Two Quadratic Equations in $\mathbb {C}^2$ Viewed as a Global Dynamical System
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Authors: John H. Hubbard
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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The authors study the Newton map $N:\mathbb{C}^2\rightarrow\mathbb{C}^2$ associated to two equations in two unknowns, as a dynamical system. They focus on the f
The Valuative Tree
Language: en
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Authors: Charles Favre
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Type: BOOK - Published: 2004-08-30 - Publisher: Springer

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This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions
The Topological Dynamics of Ellis Actions
Language: en
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Authors: Ethan Akin
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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An Ellis semigroup is a compact space with a semigroup multiplication which is continuous in only one variable. An Ellis action is an action of an Ellis semigro
Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems
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Authors: Sergey Zelik
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The authors study semilinear parabolic systems on the full space ${\mathbb R}^n$ that admit a family of exponentially decaying pulse-like steady states obtained
Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces
Language: en
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Authors: Volkmar Liebscher
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Type: BOOK - Published: 2009-04-10 - Publisher: American Mathematical Soc.

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In a series of papers Tsirelson constructed from measure types of random sets or (generalised) random processes a new range of examples for continuous tensor pr