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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 49
  3. Computational Mathematics and Mathematical Physics : Volume 49, Issue 1, January 2009
  4. Extremal dynamics of the generalized Hutchinson equation
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Computational Mathematics and Mathematical Physics : Volume 57
Computational Mathematics and Mathematical Physics : Volume 56
Computational Mathematics and Mathematical Physics : Volume 55
Computational Mathematics and Mathematical Physics : Volume 54
Computational Mathematics and Mathematical Physics : Volume 53
Computational Mathematics and Mathematical Physics : Volume 52
Computational Mathematics and Mathematical Physics : Volume 51
Computational Mathematics and Mathematical Physics : Volume 50
Computational Mathematics and Mathematical Physics : Volume 49
Computational Mathematics and Mathematical Physics : Volume 49, Issue 12, December 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 11, November 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 10, October 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 9, September 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 8, August 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 7, July 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 6, June 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 5, May 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 4, April 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 3, March 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 2, February 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 1, January 2009
Error estimates in S $_{ P }$ for cubature formulas exact for haar polynomials in the two-dimensional case
Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas
New modifications of the generalized saddle version of the level method
Determination of functional gradient in an optimal control problem related to metal solidification
Extremal dynamics of the generalized Hutchinson equation
Analysis of extraordinary optical transmission trough a conducting film by the discrete sources method
A fundamental solution to the Cauchy problem for a fourth-order pseudoparabolic equation
Numerical solution to a stokes interface problem
A variant of the finite superelement method for computing viscous incompressible flows
Solution of the skin effect problem with an arbitrary coefficient of specular reflection
Strong convergence of difference approximations in the problem of transverse vibrations of thin elastic plates
One approach to a magnetostatic problem for bodies with inclusions in an inhomogeneous external field
Stepwise solution to an inverse problem for the radiative transfer equation as applied to tomography
Algebra over estimation algorithms: Normalization with respect to the interval
Computational Mathematics and Mathematical Physics : Volume 48
Computational Mathematics and Mathematical Physics : Volume 47
Computational Mathematics and Mathematical Physics : Volume 46

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Extremal dynamics of the generalized Hutchinson equation

Content Provider Springer Nature Link
Author Glyzin, S. D. Kolesov, A. Yu. Rozov, N. Kh.
Copyright Year 2009
Abstract A scalar nonlinear differential-difference equation with two delays that generalizes Hutchinson’s equation is considered. The bifurcation of self-oscillations of this equation from the zero equilibrium is studied in the extremal situation when one delay is asymptotically large while the other parameters are on the order of unity. Analytical methods combined with numerical techniques are used to show that the well-known buffer phenomenon occurs in the equation in this case. This means that an arbitrary finite number of different attractors coexist in the phase space of the equation with suitably chosen parameters.
Starting Page 71
Ending Page 83
Page Count 13
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 49
Issue Number 1
e-ISSN 15556662
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2009-02-06
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword differential-difference equation bifurcation quasi-normal form buffer phenomenon Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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