Electronic Resource
Springer
Journal of dynamics and differential equations
5 (1993), S. 417-467
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
Permalink
| Library |
Location |
Call Number |
Volume/Issue/Year |
Availability |
