Bifurcation of Solution in Singularly Perturbed ODEs by Using Lyapunov Schmidt Reduction
مجلة علوم ذي قار, 2019 This paper aims to study the bifurcation of solution in singularly perturbed ODEs: the hypothesis the bifurcation of ...
A. H.Kamil, K. H. Yasir
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Combination of singularly perturbed vector field method and method of directly defining the inverse mapping applied to complex ODE system prostate cancer model [PDF]
Journal of Biological Dynamics, 2018 We propose a new method to solve a system of complex ordinary differential equations (ODEs) with hidden hierarchy. Given a complex system of the ODE, the hierarchy of the system is generally hidden.
Ophir Nave, Miriam Elbaz
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A new stable splitting for singularly perturbed ODEs [PDF]
Applied Numerical Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SCHUETZ, Jochen, KAISER, Klaus
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Stability analysis of a singularly perturbed coupled ODE-PDE system [PDF]
2015 54th IEEE Conference on Decision and Control (CDC), 2015 This paper is concerned with a coupled ODE-PDE system with two time scales modeled by a perturbation parameter. Firstly, the perturbation parameter is introduced into the PDE system. We show that the stability of the full system is guaranteed by the stability of the reduced and the boundary-layer subsystems.
Ying Tang +2 more
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Exponential Asymptotics and Higher-Order Stokes Phenomenon in Singularly Perturbed ODEs [PDF]
SIAM Journal on Applied Mathematics28 ...
Josh Shelton +2 more
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Existence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEs
Communications in Mathematical Physics, 2023 AbstractWe prove an existence and uniqueness theorem for exact WKB solutions of general singularly perturbed linear second-order ODEs in the complex domain. These include the one-dimensional time-independent complex Schrödinger equation. Notably, our results are valid both in the case of generic WKB trajectories as well as closed WKB trajectories.
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Bifurcation of Solution in Singularly Perturbed ODEs by Using Lyapunov Schmidt Reduction
University of Thi-Qar Journal of Science, 2018 This paper aims to study the bifurcation of solution in singularly perturbed ODEs: the hypothesis the bifurcation of solution in the ODE system will be studied by effect of the system by using Lyapunov Schmidt reduction.
A. H.Kamil, K. H. Yasir
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Singularly perturbed ODEs and profiles for stationary symmetric Euler and Navier-Stokes shocks
Discrete & Continuous Dynamical Systems - A, 2010 We construct stationary solutions to the non-barotropic, compressible Euler and Navier-Stokes equations in several space dimensions with spherical or cylindrical symmetry. The equation of state is assumed to satisfy standard monotonicity and convexity assumptions.
Williams, Mark +2 more
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On a multipoint nonlocal initial value problem for a singularly-perturbed first-order ODE [PDF]
e-Journal of Analysis and Applied Mathematics, 2019 Abstract A linear first order ordinary differential equation (ODE) with a positive parameter ɛ and a multipoint nonlocal initial value condition (NLIVC) is considered. The existence of a classical solution of the multipoint nonlocal initial value problem (NLIVP) is proved.
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Advances in Differential Equations, 2013 We study the existence of solutions of a class of singularly perturbed BVPs $\varepsilon y'' +2y' +f(y) =0, ~y(0)=0, ~y(A)=0$ for some $A>0$ and $f>0$. Given an $f$ satisfying certain conditions, we will show that for each $\varepsilon>0$, there exists $A(\varepsilon)$ such that, if $0 < A < A(\varepsilon)$, then the problem has exactly two solutions ...
McLeod, John Bryce, Sadhu, Susmita
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