Title :
A model for computational collapse of chaotic 1D maps
Author :
Goitia, Carlos Belaustegui ; Orda, César
Author_Institution :
Instituto de Ingenieria Biomedica, Univ. de Buenos Aires, Argentina
Abstract :
The finite precision of machine arithmetic alters deeply the properties of chaotic 1D maps of the unit interval. The main contribution of this paper is a new set of descriptors of the properties of quantized 1D maps, and a full quantitative explanation of the properties of a particular family of quantized maps.
Keywords :
chaos; computational complexity; discrete time systems; fixed point arithmetic; nonlinear dynamical systems; number theory; state-space methods; chaotic 1D maps; computational collapse; computational complexity; descriptors; discrete time systems; machine arithmetic; nonlinear dynamical systems; quantized 1D maps; Chaos; Chaotic communication; Computational modeling; Cryptography; Extraterrestrial measurements; Fixed-point arithmetic; Orbits; Quantization; Signal design; State-space methods;
Conference_Titel :
Signals, Circuits and Systems, 2005. ISSCS 2005. International Symposium on
Print_ISBN :
0-7803-9029-6
DOI :
10.1109/ISSCS.2005.1511347
