Stability of differential equations associated with a class of one dimensional maps

Details Stability of differential equations associated with a class of one dimensional maps Stability of differential equations associated with a class of one dimensional maps

2004-06-22

arxiv.org/abs/math-ph/0406043v1

Physics

Mathematical Physics

6 pages, no figures

Scientific paper

10.1088/0305-4470/37/47/006

Discrete time evolution of one-dimensional maps is embedded in continuous
time by truncating the Taylor series expansion of the time evolution operator
to a finite order N. Truncations with N > 4 leads to unconditional instability.
Generalization of the truncated models with N = 3 and 4 shows dynamical
behaviour characteristic of systems with a riddled parameter space.

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