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  • 1
    Electronic Resource
    Electronic Resource
    Homoclinic twisting bifurcations and cusp horseshoe maps (1993)
    Springer
    Journal of dynamics and differential equations 5 (1993), S. 417-467 
    Details
    ISSN: 1572-9222
    Keywords: Strong inclination property ; neutrally twisted homoclinic orbits ; cusp horseshoe maps ; quotient symbolic systems ; singular perturbations ; 00A71 ; 34A34 ; 34C28 ; 34D30 ; 58F12 ; 58F13 ; 58F14 ; 58F40
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Chaotic dynamics arises when the unstable manifold of a hyperbolic equilibrium point changes its twist type along a homoclinic orbit as some generic parameter is varied. Such bifurcation points occur naturally in singularly perturbed systems. Some quotient symbolic systems induced from the Bernoulli symbolic system on two symbols are proved to be characteristic for this new mechanism of chaos generation. Combination of geometrical and analytical methods is proved to be more fruitful.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01053531
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