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Keywords
(4)
Chaotic Dynamics
Chaotic Neural Network
Natural Extension
Temporal Summation
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Chaotic neural networks
Chaotic neural networks,10.1016/03759601(90)90136C,Physics Letters A,K. Aihara,T. Takabe,M. Toyoda
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Chaotic neural networks
(
Citations: 504
)
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K. Aihara
,
T. Takabe
,
M. Toyoda
A model of a single neuron with
chaotic dynamics
is proposed by considering the following properties of biological neurons: (1) graded responses, (2) relative refractoriness and (3) spatiotemporal summation of inputs. The model includes some conventional models of a neuron as its special cases; namely,
chaotic dynamics
is introduced as a
natural extension
of the former models. Chaotic solutions of both the single chaotic neuron and the
chaotic neural network
composed of such neurons are numerically demonstrated.
Journal:
Physics Letters A  PHYS LETT A
, vol. 144, no. 67, pp. 333340, 1990
DOI:
10.1016/03759601(90)90136C
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Citation Context
(245)
...Chaos has been incorporated into neuron models through a bimodal logistic function (Aihara, Takabe, & Toyoda,
1990
), simplified phenomenological models (Lin, Ruen, & Zhao,
2002
; Shilnikov & Rulkov,
2003
), or negative selffeedback (Lin,
2001
; Ohta,
2002
; Liu et al,
2006
)...
Yoram Baram
.
Noninvertibility, Chaotic Coding, and Chaotic Multiplexity of Synaptic...
...Moreover, modeling studies have suggested that chaotic dynamics is useful in some neural computations such as escape from local minima in optimization problems and chaotic transitions among memory states in associative memory models (Aihara, Takabe, & Toyoda,
1990
; Inoue & Nagayoshi,
1991
; Nara & Davis,
1992
; Tsuda,
1992
; Adachi & Aihara,
1997
; Uchiyama & Fujisaka,
2004
; Kanamaru,
2007
)...
Takashi Kanamaru
,
et al.
RewiringInduced Chaos in PulseCoupled Neural Networks
...
1990
), and chaotic optimization methods have been investigated in several studies, mainly for unconstrained optimization problems (Tokuda
et al
...
Takashi Okamoto
,
et al.
Constrained optimization using a multipoint type chaotic Lagrangian me...
...Chen and Aihara proposed a transiently chaotic neural network (TCNN) by modifying a chaotic neural network which Aihara et al proposed earlier [
4
]...
Lipo Wang
,
et al.
Solving Combinatorial Optimization Problems Using Augmented Lagrange C...
... Although synaptic behaviour has been imitated by hardwarebased neural networks such as hybrid complementary metal–oxide–semiconductor analogue circuits or other artificial neural device
...
Takeo Ohno
,
et al.
Shortterm plasticity and longterm potentiation mimicked in single in...
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Citations
(504)
Noninvertibility, Chaotic Coding, and Chaotic Multiplexity of Synaptically Modulated Neural Firing
Yoram Baram
Journal:
Neural Computation  NECO
, vol. 24, no. 3, pp. 676699, 2012
RewiringInduced Chaos in PulseCoupled Neural Networks
Takashi Kanamaru
,
Kazuyuki Aihara
Journal:
Neural Computation  NECO
, vol. 24, no. 4, pp. 10201046, 2012
Constrained optimization using a multipoint type chaotic Lagrangian method with a coupling structure
Takashi Okamoto
,
Hironori Hirata
Journal:
Engineering Optimization  ENG OPTIMIZ
, vol. aheadofp, no. aheadofp, pp. 126, 2012
Building a Chaotic Proved Neural Network
(
Citations: 1
)
Jacques M. Bahi
,
Christophe Guyeux
,
Michel Salomon
Journal:
Computing Research Repository  CORR
, vol. abs/1101.4, 2011
Solving Combinatorial Optimization Problems Using Augmented Lagrange Chaotic Simulated Annealing
Lipo Wang
,
Fuyu Tian
,
Boon Hee Soong
,
Chunru Wan
Journal:
Differential Equations and Dynamical Systems
, vol. 19, no. 1, pp. 171179, 2011