Results 271 to 280 of about 26,900 (293)
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Geometry and Dynamics of Quadratic Rational Maps
Experimental Mathematics, 1993This article is an expository description of quadratic rational maps from the Riemann sphere to ...
John Milnor, null Milnor, Tan Lei
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Topology of quadratic maps and hessians of smooth maps
Journal of Soviet Mathematics, 1990Let K be a cone in \({\mathbb{R}}^ k\) and \(K^*=\{\omega \in ({\mathbb{R}}^ k)^*:\omega\) (x)\(\leq 0\) for all \(x\in K\}\) its dual cone. Consider a symmetric bilinear map p on \({\mathbb{R}}^{N+1}\) with values in \({\mathbb{R}}^ k\). For \(\omega \in K^*\setminus \{0\}\) denote by \(\omega\) P the operator on \({\mathbb{R}}^{N+1}\) satisfying ...
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Additivity of Quadratic Maps on JB Algebras
Lobachevskii Journal of Mathematics, 2019In line with several results ranging from operator algebras to ring theory, this paper discusses automatic additivity of maps satisfying particular multiplicative properties, thereby outlining an entangling between the multiplicative and additive structures. The structures under scrutiny are JB-algebras and quadratic maps between them: for JB-algebras \
Hamhalter J., Turilova E.
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Bifurcation structure of the nonautonomous quadratic map
Physical Review A, 1985info:eu-repo/semantics ...
Kapral, Raymond, Mandel, Paul
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The quadratic differential of a map
1985The rank of the first differential ƒx determines the singularity classes ∑i. Consideration of the quadratic part of the map gives a more precise classification: we associate to each singularity a family of quadratic forms invariantly associated with it.
V. I. Arnold +2 more
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1999
There are several ways to examine the dynamics of the quadratic map defined by f r (x) = rx(1−x). The image above is from a demonstration that shows the bifurcation diagram for f r , while allowing the user to move a slider (the red line) which causes the corresponding cobweb plot to appear as well.
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There are several ways to examine the dynamics of the quadratic map defined by f r (x) = rx(1−x). The image above is from a demonstration that shows the bifurcation diagram for f r , while allowing the user to move a slider (the red line) which causes the corresponding cobweb plot to appear as well.
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1994
Let K be an infinite field of characteristic #2. For vector spaces X, Y over K of finite dimension, we defined a quadratic mapf: X→ Y by the following conditions : $$f(ax) = {a^2}f(x),a \in K,x \in X$$ (5.1) $$(x,y) \mapsto \frac{1}{2}[f(x + y) - f(x) - f(y)],x,y \in XS$$ (5.2) is bilinear [see (1.2) and (1.3)]. We denoted by Q(X, Y)
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Let K be an infinite field of characteristic #2. For vector spaces X, Y over K of finite dimension, we defined a quadratic mapf: X→ Y by the following conditions : $$f(ax) = {a^2}f(x),a \in K,x \in X$$ (5.1) $$(x,y) \mapsto \frac{1}{2}[f(x + y) - f(x) - f(y)],x,y \in XS$$ (5.2) is bilinear [see (1.2) and (1.3)]. We denoted by Q(X, Y)
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1994
Let f: R n→R m be a quadratic map. By definition there exist m quadratic forms f,... ,f m on R n such that $$f(x) = ({f_1}(x),...,{f_m}(x)),x \in {R^n}$$ .
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Let f: R n→R m be a quadratic map. By definition there exist m quadratic forms f,... ,f m on R n such that $$f(x) = ({f_1}(x),...,{f_m}(x)),x \in {R^n}$$ .
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Optical soliton perturbation with quadratic-cubic nonlinearity by mapping methods
Chinese Journal of Physics, 2019E V Krishnan, Anjan Biswas, Qin Zhou
exaly