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

DOI10.1142/S0218127412501726zbMath1270.37050MaRDI QIDQ2843650

Ma Dolores Sotelo Herrera, Lucía Cerrada, Jesús San Martín

Publication date: 23 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

traveling wavescoupled map latticesynchronized

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Additive difference equations (39A10) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (1)

Heterogeneous, weakly coupled map lattices

Cites Work

• Travelling waves associated with saddle-node bifurcation in weakly coupled CML
• Turing instability for a two-dimensional logistic coupled map lattice
• An analytical study in coupled map lattices of synchronized states and traveling waves, and of their period-doubling cascades
• Conjugation of cascades
• Flow waves of hierarchical pattern formation induced by chemical waves: the birth, growth and death of hydrodynamic structures
• Symmetry breaking bifurcations in a circular chain of \(N\) coupled logistic maps
• The universal metric properties of nonlinear transformations
• Spatio-temporal intermittency in coupled map lattices
• Human waves in stadiums
• Quantitative universality for a class of nonlinear transformations
• Dynamical transition in a coupled-map lattice model of a recurrent bus
• Analytical solutions of weakly coupled map lattices using recurrence relations
• Intermittency cascade
• STABILITY OF STEADY STATE AND TRAVELING WAVES SOLUTIONS IN COUPLED MAP LATTICES
• The chemical basis of morphogenesis
• GLOBAL SYNCHRONIZATION IN TRANSLATION INVARIANT COUPLED MAP LATTICES
• INHERENT GLOBAL STABILIZATION OF UNSTABLE LOCAL BEHAVIOR IN COUPLED MAP LATTICES

This page was built for publication: SADDLE-NODE BIFURCATION CASCADES AND ASSOCIATED TRAVELING WAVES IN WEAKLY COUPLING CML