Cluster-splitting bifurcation in a system of coupled maps

Physica D: Nonlinear Phenomena

Volumn 168-169, Issue , 2002, Pages 106-125

  Popovych, O ^a,b   Pikovsky, A ^a   Maistrenko, Yu ^b  

^a UNIVERSITY OF POTSDAM   (Germany)

^b INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

Bifurcation; Cluster splitting; Clustering; Coupled maps

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; LYAPUNOV METHODS; STATISTICAL METHODS; VECTORS;

CLUSTER SPLITTING;

OSCILLATORS (ELECTRONIC);

EID: 17344381021     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(02)00499-2     Document Type: Conference Paper

References (43)

1. Long-range order with local chaos in lattices of diffusively coupled ODEs
2. Phase synchronization effects in a lattice of non-identical Rössler oscillators
3. Parallel computer-simulation of nearest-neighbor interaction in a system of nephrons
4. Synchronization in a population of globally coupled chaotic oscillators
5. Condensation in globally coupled populations of chaotic dynamical systems
6. Non-trivial collective behavior in coupled map lattices: A transfer operator perspective
7. Collective chaos
8. Macroscopic chaos in globally coupled maps
9. Synchronization of coupled systems with spatiotemporal chaos
10. Transition to coherence in populations of coupled chaotic oscillators: A linear response approach
11. Experiments on arrays of globally coupled chaotic electrochemical oscillators: Synchronization and clustering
12. Clustering of arrays of chaotic chemical oscillators by feedback and forcing
13. Clustering, coding, switching, hierarchical ordering and control in network of chaotic elements
14. Relevance of dynamic clustering to biological networks
15. Coupled maps with growth and death: An approach to cell differentiation
16. Dominance of Milnor attractors and noise-induced selection in a multiattractor system
17. On the strength of attractors in a high-dimensional system: Milnor attractor network, robust global attraction, and noise-induced selection
18. Clustering dynamics in globally coupled map lattices
19. Clustering bifurcation and spatiotemporal intermittency in RF-driven Josephson junction series arrays
20. Synchronized family dynamics in globally coupled maps
21. The stability boundary of synchronized states in globally coupled dynamical systems
22. Transitivity and blowout bifurcations in a class of globally coupled maps
23. Very long transients in globally coupled maps
24. Globally coupled logistic maps as dynamical glasses
25. Broken ergodicity and glassy behavior in a deterministic chaotic map
26. Collective behavior in ensembles of globally coupled maps
27. Regularization of synchronized chaotic bursts
28. Simple example of partial synchronization of chaotic systems
29. On strong and weak chaotic partial synchronization
30. Oscillatory cluster patterns in a homogeneous chemical systems with global feedback
31. Synchronization and clustering in globally coupled salt-water oscillators
32. Influence of time delayed global feedback on pattern formation in oscillatory CO oxidation on Pt(1 1 0)
33. Loss of coherence in a system of globally coupled maps
34. Resolving clusters in chaotic ensembles of globally coupled identical oscillators
35. Wavelength doubling bifurcations in coupled map lattices
36. Spatially periodic orbits in coupled-map lattices
37. Synchronization and cluster periodic solutions in globally coupled maps
38. Periodicity manifestations in the turbulent regime of the globally coupled map lattice
39. Analysis of spatiotemporally periodic behavior in lattices of coupled piecewise monotonic maps
40. Information cascade with marginal stability in a network of chaotic elements
41. From attractor to chaotic saddle: A tale of transverse instability
42. Transcritical loss of synchronization in coupled chaotic systems
43. Transcritical riddling in a system of coupled maps