Symbolic Dynamics

Symbolic Dynamics is a branch of dynamical systems that studies topological or smooth systems by encoding their trajectories into sequences of symbols, thereby transforming the analysis of continuous dynamics into the study of shift spaces and discrete symbolic sequences.

612

Publications

29.5K

Citations

952

Authors

545

Institutions

Publications per year

2017–2026

Parents

Dynamical Systems

Children

Amenable Group ActionsAperiodic OrderBifurcation SetsContext-free ShiftsCylinder SetsDyck ShiftsEntropy Of SubshiftsErgodic MeasuresExpansive MapsFactor Maps

Publications

612

Symbolic Dynamics II. Sturmian Trajectories

Marston Morse, Gustav A. Hedlund · American Journal of Mathematics · 1940 · 803 citations

Natural Sciences, Mathematics, Physics +12

Communicating with chaos

Scott Hayes, Celso Grebogi, Edward Ott · Physical Review Letters · 1993 · 573 citations

Natural Sciences, Communication, Electrical Engineering +16

An introduction to symbolic dynamics and coding

Computers & Mathematics with Applications · 1996 · 526 citations

Natural Sciences, Computer Science, Mathematics +8

Symbolic Dynamics for Hyperbolic Flows

Rufus Bowen · American Journal of Mathematics · 1973 · 461 citations

Natural Sciences, Mathematics, Physics +14

DYNAMICAL SYSTEMS: STABILITY, SYMBOLIC DYNAMICS AND CHAOS

D. R. J. Chillingworth · Bulletin of the London Mathematical Society · 1998 · 450 citations

Natural Sciences, Mathematics, Complex Systems +15

1–5 of 612

Authors

952

EM
Erik M. Bollt
Clarkson University, United States
13 publications · 559 citations
12
h-index
JK
Jürgen Kurths
Potsdam Institute for Climate Impact Research, Germany
8 publications · 383 citations
8
h-index
PB
Peter beim Graben
University of Potsdam, Germany
7 publications · 392 citations
7
h-index
CD
Chengwei Dong
North University of China, China
7 publications · 126 citations
7
h-index
CJ
Christof Jung
Universidad Nacional Autónoma de México, Mexico
7 publications · 212 citations
7
h-index

1–5 of 952

Institutions

545

1–8 of 545

Venues

Ergodic Theory and Dynamical Systems
37 publications · 1.6K citations
22
h-index
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
PRE · 27 publications · 968 citations
19
h-index
Chaos An Interdisciplinary Journal of Nonlinear Science
29 publications · 1.2K citations
19
h-index
International Journal of Bifurcation and Chaos
IJBC · 28 publications · 985 citations
19
h-index
Nonlinearity
28 publications · 849 citations
17
h-index

1–5