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  • stability
  • Springer  (11)
  • MDPI Publishing
  • 1975-1979  (11)
  • 1
    Electronic Resource
    Electronic Resource
    Zooplankton in a quasi-stable phase in an endorheic lake (Lake Chilwa, Malawi) (1979)
    Springer
    Hydrobiologia 66 (1979), S. 7-15 
    Details
    ISSN: 1573-5117
    Keywords: zooplankton ; tropical endorheic lake ; Typha detritus ; fish predation ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Lake Chilwa, a fairly large, turbid, brackish and very shallow endorheic lake in Malawi, Central Africa, dried up completely in 1968 and filled up again in the following wet season. Compared with the zooplankton in the drying, filling and post-filling phases (1966–1971), differences in their composition, density, distribution and reproduction were found in 1975–1976, a year when the lake was 1–2 metres deeper. This situation is discussed in relation to environmental factors, fish predation and the supply of detritus from the surrounding Typha swamp, to illustrate the relative stability of the zooplankton populations in periods between lake recessions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00019133
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  • 2
    Electronic Resource
    Electronic Resource
    Dynamics of the open BCS model (1978)
    Springer
    Journal of statistical physics 18 (1978), S. 585-632 
    Details
    ISSN: 1572-9613
    Keywords: Strong coupling BCS model ; macroscopic states ; heat bath ; dissipative semigroup ; bifurcation ; Liapunov function ; stability ; nonequilibrium thermodynamics ; fluctuations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The dynamics of the strong coupling BCS model, considered as an open system interacting with a thermal bath, is solved rigorously and explicitly in the weak coupling limit and in the infinite-volume limit. The BCS system goes from the normal phase to the ordered phase by bifurcation. Fluctuations around trajectories of intensive observables are Gaussian and Markovian. Thermodynamic phases are global attractors in the physical domain. Structural stability is discussed. The model provides an example of a nonequilibrium statistical mechanical system with phase transition whose irreversible macroscopic dynamics can be calculated exactly from the underlying Hamiltonian quantum mechanics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01014481
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  • 3
    Electronic Resource
    Electronic Resource
    Complete stability of noncooperative games (1978)
    Springer
    Journal of optimization theory and applications 25 (1978), S. 485-505 
    Details
    ISSN: 1573-2878
    Keywords: Game theory ; stability ; contraction mappings
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper is concerned with a class of noncooperative games ofn players that are defined byn reward functions which depend continuously on the action variables of the players. This framework provides a realistic model of many interactive situations, including many common models in economics, sociology, engineering, and political science. The concept of Nash equilibrium is a suitable companion to such models. A variety of different sufficient conditions for existence, uniqueness, and stability of a Nash equilibrium point have been previously proposed. By sharpening the noncooperative aspect of the framework (which is really only implicit in the original framework), this paper attempts to isolate one set of “natural” conditions that are sufficient for existence, uniqueness, and stability. It is argued thatl ∞ quasicontraction is such a natural condition. The concept of complete stability is introduced to reflect the full character of noncooperation. It is then shown that, in the linear case, the condition ofl ∞ quasicontraction is both necessary and sufficient for complete stability.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933516
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  • 4
    Electronic Resource
    Electronic Resource
    Thermal stability and phytoplankton in Volta Lake, Ghana (1977)
    Springer
    Hydrobiologia 56 (1977), S. 195-198 
    Details
    ISSN: 1573-5117
    Keywords: consolidated mean ; cyclic average ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract The correlation between the thermal stability and phytoplankton was positive during the flood season when the transparency of water was the determining factor. On the other hand the correlation was negative during the dry season when the nutrient condition was the determining factor. The correlation was of no significance when these two contrasting seasonal phases were disregarded.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00017505
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  • 5
    Electronic Resource
    Electronic Resource
    A secant method for multiple roots (1977)
    Springer
    BIT 17 (1977), S. 321-328 
    Details
    ISSN: 1572-9125
    Keywords: 5.15 ; nonlinear equation ; root finding ; multiple root ; secant method ; Steffensen procedure ; order of convergence ; efficiency ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A superlinear procedure for finding a multiple root is presented. In it the secant method is applied to the given function divided by a divided difference whose increment shrinks toward zero as the root is approached. Two function evaluations per step are required, but no derivatives need be calculated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01932152
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  • 6
    Electronic Resource
    Electronic Resource
    Stabilization through taxation inn-person games (1977)
    Springer
    Journal of optimization theory and applications 23 (1977), S. 277-284 
    Details
    ISSN: 1573-2878
    Keywords: n-person games ; stability ; grand coalition ; taxation systems ; nondominated imputation ; multicriteria framework
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In formulating solutions forn-person cooperative games, the concept of stability has played a dominant role. Although the core concept has the strongest stability, the core of a game is often empty. In this paper, the taxation system is incorporated into our framework, so that a modified solution concept, which enjoys the stability of core, can be developed. Various formulations based on principles such astaxation proportional to income andequity after tax are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933052
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  • 7
    Electronic Resource
    Electronic Resource
    An observation on the effect of fluctuations far from equilibrium: The Lotka-Volterra model (1976)
    Springer
    Journal of statistical physics 15 (1976), S. 477-483 
    Details
    ISSN: 1572-9613
    Keywords: Stochastic process ; chemical fluctuations ; Lotka-Volterra model ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Spontaneous fluctuations in the Lotka-Volterra model of chemical reactions are known to grow in an unbounded way when species held in excess are neglected. This result is obtained in a simple way using generalized fluctuation-dissipation principles but appears to be an artifact of ignoring fluctuations in the variables that are held fixed. When fluctuations in the other concentrations are included in the model, the spontaneous fluctuations become bounded.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020801
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  • 8
    Electronic Resource
    Electronic Resource
    Macroscopic behavior of a quantum monomode laser (1976)
    Springer
    Journal of statistical physics 14 (1976), S. 399-416 
    Details
    ISSN: 1572-9613
    Keywords: Reservoir-driven open systems ; coherent states ; entropy production ; nonlinear equations ; irreversible processes ; stationary state ; stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A kinetic equation for the density matrix of a monomode laser with explicit coupling with a thermal reservoir representing the cavity and a nonthermal one representing the pumping mechanism is derived. The macroscopic behavior of this system, inferred from Glauber's P function, is discussed within the framework of Glansdorff-Prigogine's theory of far-from-thermal-equilibrium open systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01040701
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  • 9
    Electronic Resource
    Electronic Resource
    Stability and entropy production in electrical circuits (1975)
    Springer
    Journal of statistical physics 13 (1975), S. 1-16 
    Details
    ISSN: 1572-9613
    Keywords: Electrical circuit ; entropy production ; stability ; bistability ; fluctuations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A number of the theorems expounded by Prigogine, Glansdorff and their collaborators are translated into electrical circuit terminology and their validity and significance discussed. The simultaneous occurrence of inductors and capacitors represents a situation not envisioned in the chemically oriented discussions and imposes some limitations. The electrical terminology also leads to “dual” theorems, in which voltage sources are replaced by current sources. The validity of the theorems in situations in which fluctuations are critical to the relaxation behavior is analyzed. The “excess entropy production” theorem is only valid if the circuit relaxation can be described by single-valued macroscopic variables, but not if it must be described by distribution functions. We stress that no purely local characterization, which examines a multistable system only in the neighborhoods where it occurs with high probability, can predict or characterize the steady state.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012596
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  • 10
    Electronic Resource
    Electronic Resource
    On a class of linear differential games (1975)
    Springer
    Journal of optimization theory and applications 17 (1975), S. 511-522 
    Details
    ISSN: 1573-2878
    Keywords: Differential games ; pursuit-evasion ; stability ; uncertain systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Saddlepoint strategies are deduced for a class of linear, single-input differential games. Conditions necessary for a saddle-point, as well as sufficient conditions, are discussed. The results are illustrated with a simple example. For the case of one control subject to a norm bound and the other to a quadratic penalty, the results are extended to the vector case and applied to the stabilization of a system subject to norm-bounded input disturbance.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00932787
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  • 11
    Electronic Resource
    Electronic Resource
    Stability, prediction-correction, and dynamic programming (1975)
    Springer
    Journal of optimization theory and applications 17 (1975), S. 239-250 
    Details
    ISSN: 1573-2878
    Keywords: Dynamic programming ; approximation methods ; Bolza problem ; stability ; prediction-correction ; reduction of dimensionality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract It is proven here that a bounded perturbation of the discrete dynamic programming functional equation arising from the Bolza problem yields a bounded change in its solution. This stability property encourages the development of approximation techniques for solving such equations. One such technique, involving the backward solution of an approximate functional equation as a prediction step, followed by a forward reconstruction using true equations as a correction step, is then discussed. Bounds for the errors arising from such an approximation procedure are derived. Successive approximations is suggested, in conclusion, as a means for obtaining improved solutions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933878
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