Two neuron CNNS: Search for limit cycles

Xavier Vilasís-Cardona; Mireia Vinyoles-Serra

doi:10.1142/S0218127410026368

Two neuron CNNS: Search for limit cycles

Xavier Vilasís-Cardona^*
, Mireia Vinyoles-Serra

^*Corresponding author for this work

La Salle International School of Commerce and Digital Economy

Research output: Indexed journal article › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we show sufficient conditions for the existence of limit cycles in the general continuous time two-neuron autonomous CNN. We find that different types of limit cycles correspond to different regions in the template parameter space. Actually, we are able to predict the CNN behavior from the template values for the full parameter range, except for two small bounded regions.

Original language	English
Pages (from-to)	1137-1173
Number of pages	37
Journal	International Journal of Bifurcation and Chaos
Volume	20
Issue number	4
DOIs	https://doi.org/10.1142/S0218127410026368
Publication status	Published - Apr 2010

Keywords

Piecewise linear equations
cellular neural networks
limit cycle

Access to Document

10.1142/S0218127410026368

Cite this

@article{b63ab8d572f840e7b7f9187ff437726e,

title = "Two neuron CNNS: Search for limit cycles",

abstract = "In this paper, we show sufficient conditions for the existence of limit cycles in the general continuous time two-neuron autonomous CNN. We find that different types of limit cycles correspond to different regions in the template parameter space. Actually, we are able to predict the CNN behavior from the template values for the full parameter range, except for two small bounded regions.",

keywords = "Piecewise linear equations, cellular neural networks, limit cycle",

author = "Xavier Vilas{\'i}s-Cardona and Mireia Vinyoles-Serra",

note = "Funding Information: We wish to thank professor Eduardo G{\'o}mez Ram-rez for his valuable comments on the manuscript. This work is partially supported by FUNITEC.",

year = "2010",

month = apr,

doi = "10.1142/S0218127410026368",

language = "English",

volume = "20",

pages = "1137--1173",

journal = "International Journal of Bifurcation and Chaos",

issn = "0218-1274",

publisher = "World Scientific",

number = "4",

}

TY - JOUR

T1 - Two neuron CNNS

T2 - Search for limit cycles

AU - Vilasís-Cardona, Xavier

AU - Vinyoles-Serra, Mireia

N1 - Funding Information: We wish to thank professor Eduardo Gómez Ram-rez for his valuable comments on the manuscript. This work is partially supported by FUNITEC.

PY - 2010/4

Y1 - 2010/4

N2 - In this paper, we show sufficient conditions for the existence of limit cycles in the general continuous time two-neuron autonomous CNN. We find that different types of limit cycles correspond to different regions in the template parameter space. Actually, we are able to predict the CNN behavior from the template values for the full parameter range, except for two small bounded regions.

AB - In this paper, we show sufficient conditions for the existence of limit cycles in the general continuous time two-neuron autonomous CNN. We find that different types of limit cycles correspond to different regions in the template parameter space. Actually, we are able to predict the CNN behavior from the template values for the full parameter range, except for two small bounded regions.

KW - Piecewise linear equations

KW - cellular neural networks

KW - limit cycle

UR - https://www.scopus.com/pages/publications/77954192358

U2 - 10.1142/S0218127410026368

DO - 10.1142/S0218127410026368

M3 - Article

AN - SCOPUS:77954192358

SN - 0218-1274

VL - 20

SP - 1137

EP - 1173

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 4

ER -

Two neuron CNNS: Search for limit cycles

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this