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The Forced van der Pol Equation II: Canards in the Reduced System
van der Pol oscillator hybrid dynamical system
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2015/8/25
This is the second in a series of papers about the dynamics of the forced van der Pol oscillator
[J. Guckenheimer, K. Hoffman, and W. Weckesser, SIAM J. Appl. Dyn. Syst., 2(2 003), pp. 1–35].
The fi...
Improved geodesics for the reduced curvature-dimension condition in branching metric spaces
Ricci curvature metric measure spaces branching metric spaces Differential Geometry
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2012/3/1
In this note we show that in metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we always have geodesics in the Wasserstein space of probability measures that satisfy ...
Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
Quantized Nambu-Poisson Manifolds 3-Lie Algebra Reduced Model
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2011/3/2
We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to a zero-dimensional 3-Lie algebra model and construct various stable solutions corresponding to quantized Nambu-Poisson mani...
Network MIMO with Linear Zero-Forcing Beamforming: Large System Analysis, Impact of Channel Estimation and Reduced-Complexity Scheduling
Linear Zero-Forcing Beamforming Large System Analysis Impact of Channel Estimation Reduced-Complexity Scheduling
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2011/2/21
We consider the downlink of a multi-cell system with multi-antenna base stations and single-antenna user terminals, arbitrary base station cooperation clusters, distance-dependent propagation pathloss...
Dos and don'ts of reduced chi-squared
reduced chi-squared Instrumentation and Methods for Astrophysics
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2011/1/4
Reduced chi-squared is a very popular method for model assessment, model comparison, convergence diagnostic, and error estimation in astronomy. In this manuscript, we discuss the pitfalls involved in ...
Numerical solution of regularized long wave equation by reduced differential transform method
Reduced differential transform method Adomian decomposition method Variational iteration method
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2010/9/25
In this paper, a general framework of the reduced differential transform method is presented for solving the regularized long wave (RLW) equation. In this method, the solution is calculated in the for...
Reduction of Multidimensional Wave Equations to Two-Dimensional Equations: Investigation of Possible Reduced Equations
Mathematical Physics (math-ph) Analysis of PDEs (math.AP) Exactly Solvable and Integrable Systems (nlin.SI)
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2010/11/11
We study possible Lie and non-classical reductions of multidimensional wave equations and the special classes of possible reduced equations - their symmetries and equivalence classes. Such investigati...
On the weighted forward reduced Entropy of Ricci flow
the weighted forward reduced Entropy Ricci flow
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2010/11/9
In this paper, we first introduce the weighted forward reduced volume of Ricci flow. The weighted forward reduced volume, which related to expanders of Ricci flow, is well-defined on noncompact manif...
Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof
Reduced Grö bner Bases Certain Toric Varieties New Short Proof
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2010/11/30
Let K be a field and let m0, ...,mn be an almost arithmetic sequence of positive integers. Let C be a toric variety in the affine (n + 1)-space,defined parametrically by x0 = tm0 , . . . , xn = tmn. I...
Holonomy reduced dynamics of triatomic molecular systems
Holonomy reduced dynamics triatomic molecular systems
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2010/11/29
Whereas it is easy to reduce the translational symmetry of a molecular system by using, e.g., Jacobi coordinates the situation is much more involved for the rotational symmetry.
Momentum conservation in dissipationless reduced-fluid dynamics
Momentum conservation dissipationless reduced-fluid dynamics
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2010/12/15
The momentum conservation law for general dissipationless reduced-fluid (e.g., gyrofluid) models is derived by Noether method from a variational principle. The reduced-fluid momentum density and the r...
Reduced Complexity Decoding for Bit-Interleaved Coded Multiple Beamforming with Constellation Precoding
Complexity Decoding Bit-Interleaved Coded Multiple Beamforming Constellation Precoding
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2010/12/8
Multiple beamforming is realized by singular value decomposition of the channel matrix which is assumed to be perfectly known to the transmitter as well as the receiver. Bit-Interleaved Coded Multiple...
Reduced, tame and exotic fusion systems
Classifying space p-completion finite groups fusion
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2010/11/29
We define here two new classes of saturated fusion systems, reduced fusion systems and tame fusion systems. These are motivated by our attempts to better understand and search for exotic fusion system...
On reduced Beltrami equations and linear families of quasiregular mappings
Quasiregular mappings linear families elliptic PDEs
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2010/12/6
We give a positive answer to a conjecture of K. Astala, T. Iwaniec, and G.Martin [4] on reduced Beltrami equations. Moreover, we use it to study differential expressions related to two-dimensional lin...
Reduced decompositions and commutation classes
Reduced decompositions commutation classes
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2010/11/30
We study three aspects of commutation classes of reduced decompo-sitions: the number of commutation classes, the structures of their corre-sponding graphs, and the enumeration of subnetworks, a concep...