Phase locking, period doubling, and chaotic phenomena in externally driven excitable systems

Mario Feingold; Diego L. Gonzalez; Oreste Piro; Hector Viturro

doi:10.1103/PhysRevA.37.4060

Phase locking, period doubling, and chaotic phenomena in externally driven excitable systems

Mario Feingold, Diego L. Gonzalez, Oreste Piro, Hector Viturro

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

The behavior of excitable systems periodically stimulated by pulses is investigated. The non-self-oscillating regime is studied in the simplest realistic model. The global bifurcation structure is similar in several aspects to the one corresponding to driven oscillators. It includes phase locking, quasiperiodicity, period doubling, and chaos. The unexpected persistence of this structure is explained by analytical arguments and its scaling properties are numerically determined.

Original language	English
Pages (from-to)	4060-4063
Number of pages	4
Journal	Physical Review A
Volume	37
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevA.37.4060
State	Published - 1 Jan 1988
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Access to Document

10.1103/PhysRevA.37.4060

Cite this

@article{5f934a967ced4795895ee5d5ba022d44,

title = "Phase locking, period doubling, and chaotic phenomena in externally driven excitable systems",

abstract = "The behavior of excitable systems periodically stimulated by pulses is investigated. The non-self-oscillating regime is studied in the simplest realistic model. The global bifurcation structure is similar in several aspects to the one corresponding to driven oscillators. It includes phase locking, quasiperiodicity, period doubling, and chaos. The unexpected persistence of this structure is explained by analytical arguments and its scaling properties are numerically determined.",

author = "Mario Feingold and Gonzalez, {Diego L.} and Oreste Piro and Hector Viturro",

year = "1988",

month = jan,

day = "1",

doi = "10.1103/PhysRevA.37.4060",

language = "English",

volume = "37",

pages = "4060--4063",

journal = "Physical Review A",

issn = "1050-2947",

publisher = "American Physical Society",

number = "10",

}

TY - JOUR

T1 - Phase locking, period doubling, and chaotic phenomena in externally driven excitable systems

AU - Feingold, Mario

AU - Gonzalez, Diego L.

AU - Piro, Oreste

AU - Viturro, Hector

PY - 1988/1/1

Y1 - 1988/1/1

N2 - The behavior of excitable systems periodically stimulated by pulses is investigated. The non-self-oscillating regime is studied in the simplest realistic model. The global bifurcation structure is similar in several aspects to the one corresponding to driven oscillators. It includes phase locking, quasiperiodicity, period doubling, and chaos. The unexpected persistence of this structure is explained by analytical arguments and its scaling properties are numerically determined.

AB - The behavior of excitable systems periodically stimulated by pulses is investigated. The non-self-oscillating regime is studied in the simplest realistic model. The global bifurcation structure is similar in several aspects to the one corresponding to driven oscillators. It includes phase locking, quasiperiodicity, period doubling, and chaos. The unexpected persistence of this structure is explained by analytical arguments and its scaling properties are numerically determined.

UR - http://www.scopus.com/inward/record.url?scp=35949009889&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.37.4060

DO - 10.1103/PhysRevA.37.4060

M3 - Article

AN - SCOPUS:35949009889

SN - 1050-2947

VL - 37

SP - 4060

EP - 4063

JO - Physical Review A

JF - Physical Review A

IS - 10

ER -

Phase locking, period doubling, and chaotic phenomena in externally driven excitable systems

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this