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Working with multiscale asymptotics (Q2501095)

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Language	Label	Description	Also known as
English	Working with multiscale asymptotics	scientific article

Statements

scholarly article

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Working with multiscale asymptotics (English)

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Blessing Mudavanhu

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Robert E. jun. O'Malley

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David B. Williams

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Journal of Engineering Mathematics

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publication date

4 September 2006

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zbMATH Keywords

amplitude equation

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averaging

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multiple scales

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oscillations

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renormalization

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singular perturbations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10665-005-9002-5

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Analysis and simulation of chaotic systems.

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Averaging methods in nonlinear dynamical systems

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Beiträge zu einer Theorie der allgemeinen asymptotischen Darstellungen

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Multiple scale and singular perturbation methods

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Asymptotic solutions of nonlinear second order differential equations with variable coefficients

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Comparison of the Modified Method of Averaging and the Two Variable Expansion Procedure

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A New Renormalization Method for the Asymptotic Solution of Weakly Nonlinear Vector Systems

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Validity of the multiple scale method for very long intervals

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The Use of an lnvariance Condition in the Solution of Multiple‐Scale Singular Perturbation Problems: Ordinary Differential Equations

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A Uniformly‐Valid Asymptotic Solution to a Matrix System of Ordinary Differential Equations and a Proof of its Validity

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Renormalization group method. Applications to partial differential equations

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Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems

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Gevrey separation of fast and slow variables

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Renormalization-group method for reduction of evolution equations; invariant manifolds and envelopes.

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RENORMALIZATION AND ASYMPTOTICS

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A Renormalization Method for Modulational Stability of Quasi-Steady Patterns in Dispersive Systems

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A Renormalization Group Method for Nonlinear Oscillators

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Amplitude Equations for Systems with Competing Instabilities

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Asymptotics of cellular buckling close to the Maxwell load

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The equivalence between two perturbation methods in weakly nonlinear stability theory for parallel shear flows

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Methods of centre manifold and multiple scales in the theory of weakly nonlinear stability for fluid motions

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Centre manifold reduction and the Stuart‐Landau equation for fluid motions

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Initial conditions for models of dynamical systems

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Normal Forms and Unfoldings for Local Dynamical Systems

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AVERAGING IN SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

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The Gevrey asymptotics in the case of singular perturbations

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On the solutions of the renormalized equations at all orders.

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Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van Der Pol Equation

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On a Derivative-Expansion Technique and Some Comments on Multiple Scaling in the Asymptotic Approximation of Solutions of Certain Differential Equations

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Multi-Scale Analysis of Noise-Sensitivity Near a Bifurcation

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On the existence of slow manifolds for problems with different timescales

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Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes

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Identifiers

zbMATH Open document ID

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10.1007/s10665-005-9002-5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2501095

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