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  • conventional Floquet exponents  (1)
  • numerically computed orbits  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Lorenz type attractors from codimension one bifurcation (1995)
    Springer
    Journal of dynamics and differential equations 7 (1995), S. 375-407 
    Details
    ISSN: 1572-9222
    Keywords: Lorenz type attractors ; conventional Floquet exponents ; hyperbolicity conditions ; saddle-node bifurcations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Lorenz type attractors are found from a codimension one bifurcation of a system on the boundary of Morse-Smale systems. Conditions of their emerging are formulated in terms of conventional Floquet exponents of homoclinic orbits—a new characteristic of homoclinic orbits at the bifurcation moment.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02219362
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the numerical computation of orbits of dynamical systems: The one-dimensional case (1991)
    Springer
    Journal of dynamics and differential equations 3 (1991), S. 361-379 
    Details
    ISSN: 1572-9222
    Keywords: Dynamical systems ; numerically computed orbits ; shadowing ; pseudo-orbits ; round-off ; expansiveness
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A finite time version of the shadowing theorem is used to develop a procedure to determine the accuracy of numerically computed orbits of one-dimensional maps. The procedure works forward. After any given number of iterates, we can decide whether our theorem applies and, if it does, we can estimate how far the computed orbit is from a true orbit.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01049737
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    Paper (German National Licenses)
    Fulltext
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