Stability and torsion in the period doubling cascade. (English) Zbl 0949.37021
Summary: The author presents expressions for the largest Lyapunov exponent and the generalized winding number within the period doubling cascade of 3D continuous dynamical systems.
MSC:
| 37E15 | Combinatorial dynamics (types of periodic orbits) |
| 37D25 | Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) |
| 34D08 | Characteristic and Lyapunov exponents of ordinary differential equations |
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