Results 31 to 40 of about 2,502,460 (317)
Linear Algebra and its Applications, 1997 The author shows that the Smith normal form can be treated in rather general terms of matrix equivalence in the following manner. Let \({\mathfrak R}\) be a commutative ring with identity 1 and \(A, B\in{\mathfrak R}_{m,n}\) (ring of \(m\times n\) matrices over \({\mathfrak R}\)). \(A\sim B\) if \(U\), \(V\) exist such that \(U\in\text{GL}(m,{\mathfrak
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Normal forms for symplectic matrices [PDF]
Portugaliae Mathematica, 2014 We give a self contained and elementary description of normal forms for symplectic matrices, based on geometrical considerations. The normal forms in question are expressed in terms of elementary Jordan matrices and integers with values in \{ -1,0,1\} related to signatures of quadratic ...
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PSEUDO-NORMAL FORMS AND THEIR APPLICATIONS [PDF]
Symmetry and Perturbation Theory, 2001 Since they were introduced by Poincare in his thesis, Normal Forms have become a common and useful tool in the local qualitative study of dynamical systems. Consequently, the literature about this subject is very rich, not only because of the people working on it (Poincare, Dulac, Birkhoff, Stenberg, Chen, Arnold, Moser, Tokarev, Bibikov, Belitskǐi ...
Delshams Valdés, Amadeu +1 more
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Infinite Turing Bifurcations in Chains of Van der Pol Systems
Mathematics, 2022 A chain of coupled systems of Van der Pol equations is considered. We study the local dynamics of this chain in the vicinity of the zero equilibrium state.
Sergey Kashchenko
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On Transformations into Normal Form
Journal of Mathematical Analysis and Applications, 1993 The author discusses a certain transformation of the vector equation \(x^ \bullet = f(x)\) to the normal form near a stationary point. It is shown that this transformation preserves certain subalgebras of the Lie algebra of all analytic vector fields and also some modules over such Lie algebras.
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Population Ecology, EarlyView.Bear management changes management actions according to the horizontal axis of the population size and the vertical axis of the number of nuisance bears. Aiming for the target population size of Ntar, Actions I and II protect the bears, and Action IV reduces the population.
Hiroyuki Matsuda +5 more
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Extensive Form Reasoning in Normal Form Games [PDF]
Econometrica, 1993 Summary: Different extensive form games with the same reduced normal form can have different information sets and subgames. This generates a tension between a belief in the strategic relevance of information sets and subgames and a belief in the sufficiency of the reduced normal form.
Mailath, G., Samuelson, L., Swinkels, J.
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Population Ecology, EarlyView.Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
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Evolutionary interplay between viruses and R‐loops
FEBS Letters, EarlyView.Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi +4 more
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SPATIOTEMPORAL DYNAMIC OF TOXIN PRODUCING PHYTOPLANKTON (TPP)-ZOOPLANKTON INTERACTION [PDF]
International Journal of Mathematical Modelling & Computations, 2016 The present paper deals with a toxin producing phytoplankton (TPP)-zooplankton interaction in spatial environment in thecontext of phytoplankton bloom.
A. K. Sharma, A. Sharma, K. Agnihotri
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