Library

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
    Slow-motion manifolds, dormant instability, and singular perturbations (1989)
    Springer
    Journal of dynamics and differential equations 1 (1989), S. 75-94 
    Details
    ISSN: 1572-9222
    Keywords: Singular perturbations ; transition layers ; metastability ; integral manifolds
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract If the coexistence of two phases at the transition temperature is kept under observation for a long time, then one observes that the system is not exactly in equilibrium and a very slow evolution driven by surface tension is taking place. Theoretically, one should eventually see a spatially homogeneous state, but the time for settling down is so long that what one actually observes is “motion towards a stable state.” The complexity of the spatial distribution of the two phases keeps decreasing but appears to be stable for very long periods of time with intermittent periods of fast motion when there are small inclusions of one of the two regions embedded in the other phase. For a simple reaction diffusion model, it is shown that this phenomenon can be explained by investigating the flow on the attractor and the unstable manifolds of equilibria.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01048791
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Square and Pulse Waves with Two Delays (2000)
    Springer
    Journal of dynamics and differential equations 12 (2000), S. 1-30 
    Details
    ISSN: 1572-9222
    Keywords: singular perturbation ; differential difference equation ; square wave ; pulse wave
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This work is concerned with the effects on the dynamics of a differential difference equation with two delays as the delays become unbounded in a fixed direction. This leads to a singularly perturbed delay differential equation with singular parameter ε and delays (1, d). We study in detail d=2 for the case when ε=0 yields the Hénon map. In a neighborhood of a generic period doubling point for the Hénon map, we show that there can be either a stable square wave or an unstable pulse wave even though the period two point for the map is always stable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009052718531
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    A short proof of a boundedness theorem for linear differential systems with periodic coefficients (1958)
    Springer
    Archive for rational mechanics and analysis 2 (1958), S. 429-434 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00277940
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Asymptotic behavior of neutral functional differential equations (1969)
    Springer
    Archive for rational mechanics and analysis 34 (1969), S. 331-353 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00281436
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Behavior of solutions near integral manifolds (1960)
    Springer
    Archive for rational mechanics and analysis 6 (1960), S. 133-170 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00276159
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    Competition for fluctuating nutrient (1983)
    Springer
    Journal of mathematical biology 18 (1983), S. 255-280 
    Details
    ISSN: 1432-1416
    Keywords: Population dyamics ; Ecology ; Periodic solutions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A model of the competition of n species for a single essential periodically fluctuating nutrient is considered. Instead of the familiar Michaelis-Menten kinetics for nutrient uptake, we assume only that the uptake rate functions are positive, increasing and bounded above. Sufficient conditions for extinction are given. The existence of a nutrient threshold under which the Principle of Competitive Exclusion holds, is proven. For two species systems the following very general result is proven: All solutions of a τ-periodic, dissipative, competitive system are either τ-periodic or approach a τ-periodic solution. A complete description of the geometry of the Poincaré operator of the two species system is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00276091
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    Existence, uniqueness and continuous dependence for hereditary systems (1970)
    Springer
    Annali di matematica pura ed applicata 85 (1970), S. 63-81 
    Details
    ISSN: 1618-1891
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary An hereditary system is a system whose present state is determined in some way by its past history. We formulate a class of such systems which includes functional differential equations of retarded type and many equations of neulral type as well as Volterra integral equations. Theorems of existence, uniqueness, continuation and continuous dependence are proved.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02413530
    Library Location Call Number Volume/Issue/Year 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...