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Sunday, May 3, 2020 | History

2 edition of Dynamical singularities and amplitude analysis found in the catalog.

Dynamical singularities and amplitude analysis

Hamilton, J.

Dynamical singularities and amplitude analysis

lectures

by Hamilton, J.

  • 103 Want to read
  • 8 Currently reading

Published by Nordita in Copenhagen .
Written in English

    Subjects:
  • Dispersion relations -- Addresses, essays, lectures.,
  • Nuclear reactions -- Addresses, essays, lectures.

  • Edition Notes

    Includes bibliographical references.

    Statementgiven by J. Hamilton and J. L. Petersen at the Niels Bohr Institute and Nordita, Copenhagen, 1973-74.
    SeriesNew developments in dispersion theory ;, v. 1
    ContributionsPetersen, Jens L. joint author.
    Classifications
    LC ClassificationsQC794.6.S3 H35
    The Physical Object
    Paginationiv, 218 p. :
    Number of Pages218
    ID Numbers
    Open LibraryOL4589619M
    LC Control Number77351668

    The folded singularities in our work arise in the context of fast-slow averaging, and hence our results link with the study of torus canards, a recently identified class of ordinary differential equation (ODE) solutions featuring oscillatory excursions along repelling structures in phase space [J. Burke et al., J. Math. Neurosci., 2 (), pp Cited by: A Burgers equation with fractional dispersion is proposed to model waves on the moving surface of a two-dimensional, infinitely deep water under the influence of gravity. For a certain class of initial data, the solution is shown to blow up in finite by:

    1. Introduction The emergence of nonlinear brain dynamics. Recently there is an increasing interest in neurophysiological techniques such as EEG and MEG that are eminently suitable to capture the macroscopic spatial temporal dynamics of the electro magnetic fields of the by: Explains the relationship of electrophysiology, nonlinear dynamics, and the computational properties of neurons, with each concept presented in terms of both neuroscience and mathematics and illustrated using geometrical intuition. In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear .

    SIAM Journal on Applied Dynamical Systems 7 () G Derks, S Maad and B Sandstede. Perturbations of embedded eigenvalues for the bilaplacian on a cylinder. Discrete and Continuous Dynamical Systems A 21() B Sandstede and A Scheel. Hopf bifurcation from viscous shock : () The proposed nonstandard diffraction theory is constructed directly from the Maxwell equations for the crystalline medium in the X-ray wavelength range. Analysis of Maxwell?s equations for dynamic diffraction is possible using the method of multiple scales which is modified to the vector character of the problem. In this case, the small parameter of the expansion is the Fourier Author: Arthur Dyshekov, Yurii Khapachev.


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Dynamical singularities and amplitude analysis by Hamilton, J. Download PDF EPUB FB2

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Dynamical Singularities in Online Learning of Recurrent Neural Networks. we show through linear stability analysis that, as a dynamical system, the learning system is represented by a. The book is suitable for use as a textbook for graduate courses in applied mathematics or cognate fields.

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Enrique J. Galvez, in Structured Light and Its Applications, Optical singularities encompass a large range of phenomena. We do not cover the important area of interest on singularities of amplitude, where ray theory predicts infinites: caustics [1].That they never materialize due to diffraction is no less of an interesting feature of wave fields; they are still responsible for some.

[16]J. Horel, “Complex principal component analysis: Theory and examples,” Journal of climate and Applied Meteorology, vol. 23, no. 12, pp. –, [17]K. Hasselmann, “Pips and pops: The reduction of complex dynamical systems.

A Dynamical System Analysis of f(R;T) Gravity Behrouz Mirza and Fatemeh Oboudiaty Department of Physics, Isfahan University of Technology, IsfahanIran We investigate equations of motion and future singularities of f(R;T) gravity where Ris the Ricci scalar and Tis the trace of stress-energy tensor.

e-books in Dynamical Systems Theory category Random Differential Equations in Scientific Computing by Tobias Neckel, Florian Rupp - De Gruyter Open, This book is a self-contained treatment of the analysis and numerics of random differential equations from a.

Geometric phases, recognized as a universal phenomenon 35 years ago by Michael Berry [1, 2], play a fundamental role in the interference of vector waves, especially monochromatic optical fields [3–8].They are therefore ubiquitous in several areas of modern optics including polarization manipulations [4, 9–11], singular optics [12–14], and the angular Cited by: 5.

This three-part monograph addresses topics in the areas of control systems, signal processing and neural networks. Procedures and results are determined which constitute the first successful synthesis procedure for associative memories by means of artificial neural networks with arbitrarily pre-specified full or partial interconnecting structure and with or without symmetry.

SIAM Journal on Applied Dynamical SystemsAbstract | PDF ( KB) () The two-fold singularity of nonsmooth flows: Leading order dynamics in by:   If you're looking for something a little less mathy, I highly recommend Kelso's Dynamic Patterns: The Self-Organization of Brain and Behavior.

I read it as an undergrad, and it has greatly influenced my thinking about how the brain works. Gibson'. The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, SeptemberThe contributions discuss recent major advances in the study of.

We prove statistical properties of two-dimensional hyperbolic dynamical systems with singularities. Bunimovich, Sinai, and Chernov proved a theorem on the subexponential decay of correlations and a central limit theorem for billiard systems. In this paper we use their techniques to prove the same results for “abstract systems.”Cited by: 3.

Read "Dynamical Systems: Theoretical and Experimental Analysis Łódź, Poland, December" by available from Rakuten Kobo. The book is the second volume of a collection of contributions devoted to analytical, numerical and experimental techniq Brand: Springer International Publishing.

Contents Preface page xi Acknowledgements xxii 1 Finite Dimensional Maps 1 Introduction 1 Limit Sets 12 Stability 21 Bifurcation 33 Period-Doubling and Chaos 45 Invariant Manifolds 53 Attractors and Related Concepts 71 Global Properties 79 Area-Preserving and Symplectic Maps 89 References 98 2 Ordinary Differential.

This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics.

The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms.5/5(2).Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified.

In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers. The analysis of linear systems is possible because they satisfy a superposition principle: if u(t) and w(t) satisfy the differential.Dynamical systems theory is an area of mathematics used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference differential equations are employed, the theory is called continuous dynamical a physical point of view, continuous dynamical systems is a generalization of .