ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    On the stability of dense point spectrum for self-adjoint operators (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 71-75 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Let A be a (random) self-adjoint operator with fixed orthonormal eigenvectors, but with independently distributed random eigenvalues. [Typically, for the eigenvalue distributions, A is considered to have a dense point spectrum almost surely (a.s.).] A class of perturbations {B} is exhibited such that A+B has only point spectrum a.s. Examples are also constructed, including a rank-one perturbation B, such that A+μB has no eigenvalues (for μ≠0) a.s., despite A having dense point spectrum a.s.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527355
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Buchbesprechungen (1991)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 42 (1991), S. 966-968 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00944573
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Invariant Manifolds for Parabolic Partial Differential Equations on Unbounded Domains (1997)
    Springer
    Archive for rational mechanics and analysis 138 (1997), S. 279-306 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In this paper finite-dimensional invariant manifolds for nonlinear parabolic partial differential equations of the form are constructed. Such results are somewhat surprising because of the continuous spectrum of the linearized equation. These manifolds control the long-time behavior of solutions of these equations and can be used to construct systematic, rigorous expansions of the long-time asymptotics in inverse powers of . They also give a new perspective on the change in the long-time asymptotics of the equation with nonlinear term , when passes through the critical value .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002050050042
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Geometric Stability Analysis for Periodic Solutions of the Swift-Hohenberg Equation (1997)
    Springer
    Communications in mathematical physics 190 (1997), S. 173-211 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract: In this paper we describe invariant geometrical structures in the phase space of the Swift-Hohenberg equation in a neighborhood of its periodic stationary states. We show that in spite of the fact that these states are only marginally stable (i.e., the linearized problem about these states has continuous spectrum extending all the way up to zero), there exist finite dimensional invariant manifolds in the phase space of this equation which determine the long-time behavior of solutions near these stationary solutions. In particular, using this point of view, we obtain a new demonstration of Schneider's recent proof that these states are nonlinearly stable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002200050238
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Localization in disordered, nonlinear dynamical systems (1986)
    Springer
    Journal of statistical physics 42 (1986), S. 247-274 
    Details
    ISSN: 1572-9613
    Keywords: Localization ; invariant tori ; KAM theory ; disordered systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study localization and wave trapping in disordered, nonlinear dynamical systems. For some models of classical, disordered anharmonic crystal lattices, we prove that, with large probability, there are quasiperiodic lattice vibrations of finite total energy which lie on some infinite-dimensional, compact invariant tori in phase space. Such vibrations remain localized, for all times, and there is no transport of energy through the lattice. Our general concepts and techniques extend to other systems, such as disordered, nonlinear Schrödinger equations, or randomly coupled rotors.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01127712
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    Dynamics of a Ring of Diffusively Coupled Lorenz Oscillators (2000)
    Springer
    Journal of statistical physics 98 (2000), S. 1-30 
    Details
    ISSN: 1572-9613
    Keywords: chains of chaotic oscillators ; chaotic synchronization ; fixed states in lattices
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the dynamics of a finite chain of diffusively coupled Lorenz oscillators with periodic boundary conditions. Such rings possess infinitely many fixed states, some of which are observed to be stable. It is shown that there exists a stable fixed state in arbitrarily large rings for a fixed coupling strength. This suggests that coherent behavior in networks of diffusively coupled systems may appear at a coupling strength that is independent of the size of the network.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018600203530
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory (1990)
    Springer
    Communications in mathematical physics 127 (1990), S. 479-528 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In this paper the nonlinear wave equation $$u_u - u_{xx} + v(x)u(x,t) + \varepsilon u^3 (x,t) = 0$$ is studied. It is shown that for a large class of potentials,v(x), one can use KAM methods to construct periodic and quasi-periodic solutions (in time) for this equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02104499
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    Surface models with nonlocal potentials: Upper bounds (1983)
    Springer
    Communications in mathematical physics 90 (1983), S. 293-315 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The behavior of fluctuations in a class of surface models with exponentially decaying nonlocal potentials in studied. Combining a Mayer expansion with a duality transformation, we demonstrate the equivalence of these models to a class of two dimensional spin systems with nonlocal interactions. The expansions give sufficient control over the potentials to allow the fluctuations to be bounded from above by the means of complex translations in the spin representation of the model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01205509
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    The KAM theory of systems with short range interactions, II (1984)
    Springer
    Communications in mathematical physics 96 (1984), S. 331-344 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The proof of the results on the KAM theory of systems with short range interactions, stated in [6] is completed. Estimates on the decay of the interactions generated by the iterative procedure in the KAM theorem are proved, as well as the modification of the theorems of [2–3] needed for results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01214578
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    The KAM theory of systems with short range interactions, I (1984)
    Springer
    Communications in mathematical physics 96 (1984), S. 311-329 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The existence of quasiperiodic trajectories for Hamiltonian systems consisting of long chains of nearly identical subsystems, with interactions which decay rapidly with increasing distance between the interacting components, is studied. Such models are of interest in statistical mechanics. It is shown that nonergodic motions persist for much larger perturbations than prior work indicated. If the number of degrees of freedom of the system isN, the allowed perturbation decreases only as an inverse power ofN, as the number of degrees of freedom increases, rather than the inverse power ofN! which previous estimates yielded.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01214577
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...