Results 81 to 90 of about 17,380,414 (202)
Bifurcation diagrams for singularly perturbed system: the multi-dimensional case.
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We consider a singularly perturbed system where the fast dynamics of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system admits a unique critical point, which undergoes a bifurcation as a ...
Matteo Franca
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Axioms, 2019 Two types of singularly-perturbed nonlinear time delay controlled systems are considered. For these systems, sufficient conditions of the functional null controllability are derived.
Valery Y. Glizer
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Results in Applied MathematicsIn this paper, we present a wavelet collocation method for efficiently solving singularly perturbed differential–difference equations (SPDDEs) and one-parameter singularly perturbed differential equations (SPDEs) taking into account the singular ...
Shahid Ahmed +4 more
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Axioms, 2019 In this paper a stochastic optimal control problem described by a quadratic performance criterion and a linear controlled system modeled by a system of singularly perturbed Itô differential equations with two fast time scales is considered.
Vasile Drăgan
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Electronic Journal of Qualitative Theory of Differential EquationsWe derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations. Opposite to [J. Differential Equations 400(2024), 314–375] we assume that the unperturbed (frozen) equation
Flaviano Battelli +2 more
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On a Hypercycle System with Nonlinear Rate [PDF]
, 2001 We study an (N+1)-hypercyclical reaction-diffusion system with nonlinear reaction rate n. It is shown that there exists a critical threshold N_0 such that for N\leq N_0 the system is stable while for N> N_0 it becomes unstable.
Winter, M +3 more
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Biomath, 2016 In this paper an initial value problem for aВ non-linear system of two singularly perturbed first orderВ differential equations is considered on the interval (0,1]. The components of the solution of this system exhibit initialВ layers at 0.
Ishwariya Raj +3 more
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Quartic spline technique for time-dependent convection-diffusion of singularly perturbed problems
Results in EngineeringA multi-parameter singularly perturbed partial differential equation of convection-diffusion type is analyzed. Time and space variables with two fitting factors on a uniform mesh are calculated by Euler’s method and the quartic spline technique ...
Swarnakar Dornala +5 more
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A robust computational technique for a system of singularly perturbed reaction–diffusion equations
International Journal of Applied Mathematics and Computer Science, 2014 In this paper, a singularly perturbed system of reaction–diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh.
Kumar Vinod +2 more
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Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]
BMC Res Notes, 2023 Reda BT, Bullo TA, Duressa GF.
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