Results 11 to 20 of about 6,305,486 (301)
Birkhoff Normal Forms and KAM Theory for Gumowski-Mira Equation [PDF]
The Scientific World Journal, 2014 By using the KAM theory we investigate the stability of equilibrium solutions of the Gumowski-Mira equation: xn+1=(2axn)/(1+xn2)-xn-1, n=0,1,…, where x-1,x0∈(-∞,∞), and we obtain the Birkhoff normal forms for this equation for different equilibrium ...
M. R. S. Kulenović +2 more
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The use of normal forms for analysing nonlinear mechanical vibrations [PDF]
Philosophical Transactions Series A, Mathematical, Physical, and Engineering Sciences, 2015 Alan Champneys, Tom Hill, David Wagg
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Justification for inclusion dependency normal form [PDF]
, 2000 Functional dependencies (FDs) and inclusion dependencies (INDs) are the most fundamental integrity constraints that arise in practice in relational databases.
Vincent, Millist W., Levene, Mark
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Van der Pol Equation with a Large Feedback Delay
Mathematics, 2023 The well-known Van der Pol equation with delayed feedback is considered. It is assumed that the delay factor is large enough. In the study of the dynamics, the critical cases in the problem of the stability of the zero equilibrium state are identified ...
Sergey Kashchenko
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On the Double-Zero Bifurcation of Jerk Systems
Mathematics, 2023 In this paper, we construct approximate normal forms of the double-zero bifurcation for a two-parameter jerk system exhibiting a non-degenerate fold bifurcation.
Cristian Lăzureanu
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Asymptotics of Regular and Irregular Solutions in Chains of Coupled van der Pol Equations
Mathematics, 2023 Chains of coupled van der Pol equations are considered. The main assumption that motivates the use of special asymptotic methods is that the number of elements in the chain is sufficiently large.
Sergey Kashchenko
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Approximate Nonlinear Discrete-Time Models Based on B-Spline Functions
IEEE Access, 2020 We consider the discretization of continuous-time nonlinear systems described by normal forms. In particular, we consider the case when the input to the system is generated by a B-spline hold device to obtain an approximate discrete-time model.
Claudia Sanchez, Juan I. Yuz
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Relaxation Oscillations in the Logistic Equation with Delay and Modified Nonlinearity
Mathematics, 2023 We consider the dynamics of a logistic equation with delays and modified nonlinearity, the role of which is to bound the values of solutions from above.
Alexandra Kashchenko, Sergey Kashchenko
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A remark on normal forms of matrices [PDF]
, 1980 Dlab V, Ringel CM. A remark on normal forms of matrices. Linear algebra and its applications.
Dlab, Vlastimil, Ringel, Claus Michael
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Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps [PDF]
, 2014 We derive simplified normal forms for an area-preserving map in a neighbourhood of a degenerate resonant elliptic fixed point. Such fixed points appear in generic families of area-preserving maps. We also derive a simplified normal form for a generic two-
Gelfreikh, Natalia, Gelfreich, Vassili
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