Results 331 to 340 of about 850,656 (375)

Perturbations and Delays in Differential Equations

SIAM Journal on Applied Mathematics, 1975
In this paper we present a number of results on perturbations of second order differential equations of the form $x'' + f( x )h( {x'} )x' + g( x ) = 0$. This is accomplished by constructing a variety of Lyapunov functions. We then show how these Lyapunov functions can be converted to Lyapunov functionals for the delay equation $x'' + f( x )h( {x'} )x' +
openaire   +3 more sources

Delay-Differential Equation Models for Fisheries

, 1973
Two new "simple" fishery models based on delay-differential equations are introduced and compared to three currently used differential equation models. These new models can account for reproductive lag and allow oscillatory behavior of population biomass,
G. Walter
semanticscholar   +1 more source

Periodic Solutions of a Periodic Nonlinear Delay Differential Equation

, 1978
In this paper the scalar delay-differential equation $y'( t ) = b( t )y( {t - T} )[ {1 - y( t )} ] - cy( t )$, is studied, where c and T are positive constants and b is a positive periodic function of minimal period $\omega > 0$. This equation models the
S. Busenberg, K. Cooke
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Bifurcation and asymptotic behavior of solutions of a delay-differential equation with diffusion

, 1989
A scalar delay-differential equation with diffusion term in one space dimension, where the diffusivity D is a bifurcation parameter, is considered. The center manifold theory and the method of Lyapunov–Schmidt are used to describe two bifurcations from ...
Margaret C. Memory
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n-scroll chaotic attractors from a first-order time-delay differential equation.

Chaos, 2007
In this paper, a novel first-order delay differential equation capable of generating n-scroll chaotic attractor is presented. Hopf bifurcation of the introduced n-scroll chaotic system is analytically and numerically determined.
M. Yalçin, S. Ozoguz
semanticscholar   +1 more source

Differential-Delay Equations

2011
Periodic motions in DDE (Differential-Delay Equations) are typically created in Hopf bifurcations. In this chapter we examine this process from several points of view. Firstly we use Lindstedt’s perturbation method to derive the Hopf Bifurcation Formula, which determines the stability of the periodic motion.
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Noise-induced transitions at a Hopf bifurcation in a first-order delay-differential equation.

Physical Review A. Atomic, Molecular, and Optical Physics, 1991
The influence of colored noise on the Hopf bifurcation in a first-order delay-differential equation (DDE), a model paradigm for nonlinear delayed feedback systems, is considered.
Longtin
semanticscholar   +1 more source

Series solution for a delay differential equation arising in electrodynamics

, 2009
In this study, the pantograph equation is investigated using the homotopy perturbation and variational iteration methods. The pantograph equation is a delay differential equation that arises in quite different fields of pure and applied mathematics, such
H. Koçak, A. Yıldırım
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Delay Differential Equations

2011
Delay differential equations occur in many areas of science. Mathematically, delay terms render differential equations infinite dimensional. This enables even simple equations with delay terms to show complex dynamics.
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Numerical solution of fractional delay differential equation by shifted Jacobi polynomials

International Journal of Computational Mathematics, 2017
M. Palanisamy, B. Priya
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