TITLE

Weyl-Titchmarsh Theory for Hamiltonian Dynamic Systems

PUB. DATE
January 2010
SOURCE
Abstract & Applied Analysis;2010, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
No abstract available.
ACCESSION #
56438444

 

Related Articles

  • Weyl-Titchmarsh Theory for Time Scale Symplectic Systems on Half Line. Hilscher, Roman Šimon; Zemánek, Petr // Abstract & Applied Analysis;2011, Special section p1 

    We develop the Weyl-Titchmarsh theory for time scale symplectic systems. We introduce the M(λ)-function, study its properties, construct the corresponding Weyl disk and Weyl circle, and establish their geometric structure including the formulas for their center and matrix radii. Similar...

  • THE EVANS FUNCTION AND THE WEYL-TITCHMARSH FUNCTION. Latushkin, Yuri; Sukhtayev, Alim // Discrete & Continuous Dynamical Systems - Series S;Oct2012, Vol. 5 Issue 5, p939 

    We describe relations between the Evans function, a modern tool in the study of stability of traveling waves and other patterns for PDEs, and the classical Weyl-Titchmarsh function for singular Sturm-Liouville differential expressions and for matrix Hamiltonian systems. Also, for the scalar...

  • On spectral deformations and singular Weyl functions for one-dimensional Dirac operators. Beigl, Alexander; Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald // Journal of Mathematical Physics;2015, Vol. 56 Issue 1, p1 

    We investigate the connection between singular Weyl-Titchmarsh-Kodaira theory and the double commutation method for one-dimensional Dirac operators. In particular, we compute the singular Weyl function of the commuted operator in terms of the data from the original operator. These results are...

  • Solvable quantum version of an intergable Hamiltonia system. Calogero, F.; van Diejen, J.F. // Journal of Mathematical Physics;Sep96, Vol. 37 Issue 9, p4243 

    Presents a solvable quantum versions of the classical dynamical system characterized by the Hamiltonians. Three quantum versions of the Hamiltonians; Eigenvalues of the quantum Hamiltonians.

  • How random is a coin toss? Ford, Joseph // Physics Today;Apr83, Vol. 36 Issue 4, p40 

    Examines the differences between orderly and chaotic behavior in the solutions of nonlinear dynamic problems. Information on Hamiltonian systems; Definition of chaotic orbits; Theory on algorithmic complexity.

  • Fractional generalized Hamiltonian mechanics. Li, Lin; Luo, Shao-Kai // Acta Mechanica;Aug2013, Vol. 224 Issue 8, p1757 

    In this paper, we present a new fractional theory of dynamics, i.e., the dynamics of generalized Hamiltonian system with fractional derivatives (fractional generalized Hamiltonian mechanics). Based on the definition of Riemann-Liouville fractional derivatives, the fractional generalized...

  • Application of the Feigenbaum-Sharkovskii-Magnitskii theory to the analysis of Hamiltonian systems. Magnitskii, N.; Sidorov, S. // Differential Equations;Nov2007, Vol. 43 Issue 11, p1510 

    The article examines the application of the Feigenbaum-Sharkovskii-Magnitskii (FSM) theory in analyzing three Hamiltonian systems. Any nonintegrable nonlinear Hamiltonian system is treated as a perturbation of an integrable system. Analysis of its dynamics can be reduced to finding out whether...

  • Quantized Neumann problem, separable potentials on S[sup n] and the Lame equation. Gurarie, David // Journal of Mathematical Physics;Oct95, Vol. 36 Issue 10, p5355 

    Studies spectral theory of Schrodinger operators on the sphere from the standpoint of integrability and separation. Asymptotics of eigenvalues and spectral clusters; Underlying geometry and classical dynamics; Inverse spectral problem of the sphere; Approaches to spectral theory of Hamiltonian...

  • Normal Form for Families of Hamiltonian Systems. Wang, Zhi // Acta Mathematica Sinica;Jul2007, Vol. 23 Issue 7, p1199 

    We consider perturbations of integrable Hamiltonian systems in the neighborhood of normally parabolic invariant tori. Using the techniques of KAM-theory we prove that there exists a canonical transformation that puts the Hamiltonian in normal form up to a remainder of weighted order 2 d + 1. And...

  • Non-Hamiltonian molecular dynamics: Generalizing Hamiltonian phase space principles to non-Hamiltonian systems. Tuckerman, Mark E.; Liu, Yi; Ciccotti, Giovanni; Martyna, Glenn J. // Journal of Chemical Physics;7/22/2001, Vol. 115 Issue 4 

    The use of non-Hamiltonian dynamical systems to perform molecular dynamics simulation studies is becoming standard. However, the lack of a sound statistical mechanical foundation for non-Hamiltonian systems has caused numerous misconceptions about the phase space distribution functions generated...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics