SADDLE-NODE BIFURCATION CASCADES AND ASSOCIATED TRAVELING WAVES IN WEAKLY COUPLING CML-Reference-Cited by-同舟云学术

SADDLE-NODE BIFURCATION CASCADES AND ASSOCIATED TRAVELING WAVES IN WEAKLY COUPLING CML

Published:2012-07 Issue:07 Volume:22 Page:1250172
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

SOTELO HERRERA Ma DOLORES¹,SAN MARTÍN JESÚS¹,CERRADA LUCÍA²

Affiliation:

1. Departamento de Matemática Aplicada, E.U.I.T.I., Universidad Politécnica de Madrid, Ronda de Valencia 3, 28012 Madrid, Spain

2. ETS de Ingeniería ICAI, Universidad Pontificia Comillas de Madrid, Alberto Aguilera 25, 28015 Madrid, Spain

Abstract

In this paper, traveling waves are analytically found in weakly coupling CML, with both global and neighbor couplings. The waves are triggered by the individual dynamics of the oscillators belonging to CML: saddle-node bifurcation cascades. Depending on the wave period different results are obtained, since the larger the period, the larger the collapse produced in the boxes of saddle-node bifurcation cascades.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127412501726

Reference25 articles.

1. Noise induced resonance phenomena in coupled map lattices

2. INHERENT GLOBAL STABILIZATION OF UNSTABLE LOCAL BEHAVIOR IN COUPLED MAP LATTICES

3. Spatio-temporal intermittency in coupled map lattices

4. Human waves in stadiums

5. Quantitative universality for a class of nonlinear transformations

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Heterogeneous, weakly coupled map lattices;Communications in Nonlinear Science and Numerical Simulation;2016-07