Multiple of Homoclinic Solutions for a Perturbed Dynamical Systems with Combined Nonlinearities
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0930-x
Abstract: In this paper, we study the existence of multiple and infinite homoclinic solutions for the following perturbed dynamical systems $$\begin{aligned} \ddot{x}+A\cdot \dot{x}-L(t)\cdot x+\nabla W(t,x)=f(t), \end{aligned}$$x¨+A·x˙-L(t)·x+∇W(t,x)=f(t),where $$t\in {\mathbb R}, x\in {\mathbb R}^N,$$t∈R,x∈RN,A is an antisymmetric constant… read more here.
Keywords: homoclinic solutions; multiple homoclinic; mathbb mathbb; dynamical systems ... See more keywords
The Two-Point Fano and Ideal Binary Clutters
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DOI: 10.1007/s00493-018-3779-0
Abstract: Let $$\mathbb{F}$$F be a binary clutter. We prove that if $$\mathbb{F}$$F is non-ideal, then either $$\mathbb{F}$$F or its blocker $$b(\mathbb{F})$$b(F) has one of $$\mathbb{L}_7,\mathbb{O}_5,\mathbb{LC}_7$$L7,O5,LC7 as a minor. $$\mathbb{L}_7$$L7 is the non-ideal clutter of the lines… read more here.
Keywords: point fano; clutter; mathbb; mathbb mathbb ... See more keywords
Mutually Unbiased Property of Special Entangled Bases
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DOI: 10.1007/s10773-021-04840-x
Abstract: We study mutually unbiased bases formed by special entangled basis with fixed Schmidt number 2 (MUSEB2s) in $\mathbb {C}^{3}\otimes \mathbb {C}^{4p} (p\in \mathbb {Z}^{+})$ . Through analyzing the conditions MUSEB2s satisfy, a systematic way of… read more here.
Keywords: special entangled; mutually unbiased; mathbb mathbb; mathbb otimes ... See more keywords
Some applications of the regularity principle in sequence spaces
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DOI: 10.1007/s11117-017-0506-9
Abstract: The Hardy–Littlewood inequalities for m-linear forms have their origin with the seminal paper of Hardy and Littlewood (Q J Math 5:241–254, 1934). Nowadays it has been extensively investigated and many authors are looking for the… read more here.
Keywords: regularity principle; hardy littlewood; mathbb mathbb; mathbb ... See more keywords
Constacyclic codes over the ring $${\mathbb {F}}_q+v{\mathbb {F}}_q+v^{2}{\mathbb {F}}_q$$Fq+vFq+v2Fq and their applications of constructing new non-binary quantum codes
Sign Up to like & getrecommendations! Published in 2018 at "Quantum Information Processing"
DOI: 10.1007/s11128-018-1898-6
Abstract: Let $$R={\mathbb {F}}_q+v{\mathbb {F}}_q+v^{2}{\mathbb {F}}_q$$R=Fq+vFq+v2Fq be a finite non-chain ring, where q is an odd prime power and $$v^3=v$$v3=v. In this paper, we propose two methods of constructing quantum codes from $$(\alpha +\beta v+\gamma v^{2})$$(α+βv+γv2)-constacyclic… read more here.
Keywords: mathbb vfq; quantum codes; mathbb mathbb; mathbb ... See more keywords
Nonbinary quantum codes from constacyclic codes over polynomial residue rings
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DOI: 10.1007/s11128-020-2584-z
Abstract: Let R be the polynomial residue ring $${\mathbb {F}}_{q^{2}}+u{\mathbb {F}}_{q^{2}}$$ F q 2 + u F q 2 , where $${\mathbb {F}}_{q^2}$$ F q 2 is the finite field with $$q^2$$ q 2 elements, q… read more here.
Keywords: quantum codes; mathbb mathbb; polynomial residue; mathbb ... See more keywords
Fast homoclinic orbits for a class of damped vibration systems
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DOI: 10.1007/s11587-020-00534-4
Abstract: We study the existence of fast homoclinic orbits for the following damped vibration system $$\ddot{u}(t)+q(t)\dot{u}(t)+\nabla V(t,u(t))=0$$ ; where $$q\in C(\mathbb {R},\mathbb {R})$$ and $$V\in C^{1}(\mathbb {R}\times \mathbb {R}^{N},\mathbb {R})$$ is of the type V(t,x)=-K(t,x)+W(t,x). A… read more here.
Keywords: fast homoclinic; mathbb mathbb; homoclinic orbits; damped vibration ... See more keywords
Cyclic DNA codes over $$\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2$$F2+uF2+vF2+uvF2 and their applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-016-1046-3
Abstract: In this paper, we study the structure of cyclic DNA codes of arbitrary length over the ring $$R=\mathbb {F}_2+u\mathbb {F}_2+v\mathbb {F}_2+uv\mathbb {F}_2$$R=F2+uF2+vF2+uvF2, $$u^{2}=0, v^{2}=v, uv=vu$$u2=0,v2=v,uv=vu. By defining a Gray map, we establish a relation between… read more here.
Keywords: dna codes; mathbb uf2; mathbb mathbb; cyclic dna ... See more keywords
On $${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}[\xi ]$$-skew cyclic codes
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DOI: 10.1007/s12190-021-01580-3
Abstract: $${\mathbb {Z}}_2{\mathbb {Z}}_{4}$$ -additive codes have been defined as a subgroup of $${\mathbb {Z}}_2^{r}\times {\mathbb {Z}}_4^{s}$$ in [6] where $${\mathbb {Z}}_2$$ , $${\mathbb {Z}}_{4}$$ are the rings of integers modulo 2 and 4 respectively and… read more here.
Keywords: times mathbb; mathbb mathbb; cyclic codes; mathbb ... See more keywords
On Circle Preserving Quadratic Operators
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DOI: 10.1007/s40840-015-0240-z
Abstract: In the present paper, we study linear operators $$\Delta $$Δ from the algebra of $$2\times 2$$2×2 matrices $${\mathbb {M}}_2({\mathbb {C}})$$M2(C) into its tensor square. Each such kind of mapping defines a quadratic operator on the… read more here.
Keywords: circle preserving; preserving quadratic; mathbb mathbb; quadratic operators ... See more keywords
Modular Birkhoff–James orthogonality in $$B({\mathbb {X}},{\mathbb {Y}})$$ and $$K({\mathbb {X}},{\mathbb {Y}})$$
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DOI: 10.1007/s43037-020-00064-z
Abstract: We introduce and study modular Birkhoff–James orthogonality for typical Banach modules $$B({\mathbb {X}},{\mathbb {Y}})$$ and $$K({\mathbb {X}},{\mathbb {Y}}),$$ where $${\mathbb {X}}$$ and $${\mathbb {Y}}$$ are Banach spaces. We present some basic characterizations of modular Birkhoff–James… read more here.
Keywords: james orthogonality; mathbb mathbb; modular birkhoff; mathbb ... See more keywords