Review of Chaotic Intermittency

被引：15

作者：

Elaskar, Sergio ^{[1
,2
]}

del Rio, Ezequiel ^{[3
]}

机构：

[1] Univ Nacl Cordoba, Inst Estudios Avanzados Ingn & Tecnol IDIT, Dept Aeronaut, FCEFyN, RA-5000 Cordoba, Argentina

[2] Consejo Nacl Invest Cient & Tecn, RA-5000 Cordoba, Argentina

[3] Univ Politecn Madrid, Dept Fis Aplicada, ETSI Aeronaut & Espacio, Madrid 28040, Spain

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 06期

关键词：

chaotic intermittency; review; types; maps; RPD; noise; REINJECTION PROBABILITY DENSITY; I INTERMITTENCY; III INTERMITTENCY; STATISTICAL PROPERTIES; TRANSITION; NOISE; TURBULENCE; DYNAMICS; SYNCHRONIZATION; ATTRACTORS;

D O I：

10.3390/sym15061195

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Chaotic intermittency is characterized by a signal that alternates aleatory between long regular (pseudo-laminar) phases and irregular bursts (pseudo-turbulent or chaotic phases). This phenomenon has been found in physics, chemistry, engineering, medicine, neuroscience, economy, etc. As a control parameter increases, the number of chaotic phases also increases. Therefore, intermittency presents a continuous route from regular behavior to chaotic motion. In this paper, a review of different types of intermittency is carried out. In addition, the description of two recent formulations to evaluate the reinjection processes is developed. The new theoretical formulations have allowed us to explain several tests previously called pathological. The theoretical background also includes the noise effects in the reinjection mechanism.

引用

页数：54

共 50 条

[31] The role of chaotic resonance in cerebellar learning [J].

Tokuda, Isao T. ;

Han, Cheol E. ;

Aihara, Kazuyuki ;

Kawato, Mitsuo ;

Schweighofer, Nicolas .

NEURAL NETWORKS, 2010, 23 (07) :836-842

[32] Theory of intermittency applied to classical pathological cases [J].

del Rio, Ezequiel ;

Elaskar, Sergio ;

Makarov, Valeri A. .

CHAOS, 2013, 23 (03)

[33] Intermittency cascade [J].

San Martin, Jesus .

CHAOS SOLITONS & FRACTALS, 2007, 32 (02) :816-831

[34] Chaotic microcomb-based parallel ranging [J].

Lukashchuk, Anton ;

Riemensberger, Johann ;

Tusnin, Aleksandr ;

Liu, Junqiu ;

Kippenberg, Tobias J. .

NATURE PHOTONICS, 2023, 17 (09) :814-+

[35] Capturing and shunting energy in chaotic Chua circuit [J].

Wang, Chunni ;

Liu, Zhilong ;

Hobiny, Aatef ;

Xu, Wenkang ;

Ma, Jun .

CHAOS SOLITONS & FRACTALS, 2020, 134

[36] Feedback control of bursting and multistability in chaotic systems [J].

Geltrude, Andrea ;

Al Naimee, Kais ;

Euzzor, Stefano ;

Meucci, Riccardo ;

Arecchi, Fortunato Tito ;

Goswami, Binoy Krishna .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (07) :3031-3039

[37] New Feedback Functions for Synchronizing Chaotic Maps [J].

Ali, M. K. .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 1998, 2 (01) :1-5

[38] Multistate intermittency on the route to chaos of a semiconductor laser subjected to optical feedback from a long external cavity [J].

Choi, Daeyoung ;

Wishon, Michael J. ;

Chang, C. Y. ;

Citrin, D. S. ;

Locquet, A. .

CHAOS, 2018, 28 (01)

[39] Intermittency and multifractional Brownian character of geomagnetic time series [J].

Consolini, G. ;

De Marco, R. ;

De Michelis, P. .

NONLINEAR PROCESSES IN GEOPHYSICS, 2013, 20 (04) :455-466

[40] Chaotic saddles and interior crises in a dissipative nontwist system [J].

Simile Baroni, R. ;

Egydio de Carvalho, R. ;

Caldas, I. L. ;

Viana, R. L. ;

Morrison, P. J. .

PHYSICAL REVIEW E, 2023, 107 (02)

← 1 2 3 4 5 →