Chaotic transients in spatially extended systems
Different transient-chaos related phenomena of spatiotemporal systems are reviewed.
Special attention is paid to cases where spatiotemporal chaos appears in the form of chaotic …
Special attention is paid to cases where spatiotemporal chaos appears in the form of chaotic …
Pattern dynamics of a coupled map lattice for open flow
The pattern dynamics of the one-way coupled logistic lattice which can serve as a
phenomenological model for open flow is investigated and shown to be extremely rich. For …
phenomenological model for open flow is investigated and shown to be extremely rich. For …
Hints for universality in coupled map lattices
FH Willeboordse - Physical Review E, 2002 - APS
A wide range of coupled map lattices is found to have identical pattern sequences providing
numerical evidence for their universality in the class of systems studied. It is furthermore …
numerical evidence for their universality in the class of systems studied. It is furthermore …
Clustering in a coupled map lattice
VI Sbitnev - International Journal of Bifurcation and Chaos, 1996 - World Scientific
Normal chaotic activity and anomalous chaotic activity have been observed in a uniform
coupled map lattice (CML). The former is stable providing a space-time complexity by …
coupled map lattice (CML). The former is stable providing a space-time complexity by …
Encoding of Travelling Waves in a Coupled Map Lattice
FH Willeboordse - International Journal of Bifurcation and Chaos, 1994 - World Scientific
A Page 1 A International Journal of Bifurcation and Chaos, Vol. 4, No. 6 (1994) 1667-1673 @
World Scientific Publishing Company ENCODING OF TRAVELLING WAVES IN A COUPLED …
World Scientific Publishing Company ENCODING OF TRAVELLING WAVES IN A COUPLED …
A few basic structures determine the behavior of a coupled map lattice
V Franceschini, C Vernia - Physical Review E, 1998 - APS
The stability and formation of structures in lattices of diffusively coupled logistic maps are
investigated for high nonlinearity and medium and large coupling. Two stability statements …
investigated for high nonlinearity and medium and large coupling. Two stability statements …
Unidirectionally coupled map lattices with nonlinear coupling: Unbinding transitions and superlong transients
C Marschler, J Vollmer - SIAM Journal on Applied Dynamical Systems, 2014 - SIAM
Recently, highly resolved experiments and simulations have provided detailed insight into
the dynamics of turbulent pipe flow. This has revived the interest in identifying mechanisms …
the dynamics of turbulent pipe flow. This has revived the interest in identifying mechanisms …
SS Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland
JE Marsden, L Sirovich, LGPHJ Keener… - Springer
In a dynamical system, transients are temporal evolutions preceding the asymptotic
dynamics. Transient dynamics can be more relevant than the asymptotic states of the system …
dynamics. Transient dynamics can be more relevant than the asymptotic states of the system …
Differentiation in a globally coupled circle map with growth and death
FH Willeboordse - The European Physical Journal B-Condensed Matter …, 2005 - Springer
A key characteristic of biological systems is the continuous life cycle where cells are born,
grow and die. From a dynamical point of view the events of cell division and cell death are of …
grow and die. From a dynamical point of view the events of cell division and cell death are of …
[CITATION][C] The frozen random pattern in the diffusively coupled logistic lattice
FH Willeboordse - Physics Letters A, 1993 - Elsevier
The frozen random pattern in the diffusively coupled logistic lattice Page 1 Physics Letters A
183 (1993) 187-192 North-Holland PHYSICS LETTERS A The frozen random pattern in the …
183 (1993) 187-192 North-Holland PHYSICS LETTERS A The frozen random pattern in the …