Nonlinear Dynamics

Nonlinear Dynamics is a branch of mathematics and physics that studies systems governed by equations in which the output is not directly proportional to the input, thereby exhibiting behaviors such as chaos, bifurcations, and emergent complexity that arise from nonlinear interactions within dynamical systems.

74.2K

Publications

3.9M

Citations

74.4K

Authors

8.5K

Institutions

Publications per year

2017–2026

16.1K

Parents

Complex SystemsDynamical SystemsSystem DynamicsSystems BiophysicsTheoretical Physics

Children

AttractorsBasin Of AttractionCatastrophe TheoryConservative Dynamical SystemsContinuous-time Dynamical SystemsCoupled OscillatorsDissipative Dynamical SystemsHamiltonian ChaosHeteroclinic CyclesHomoclinic Bifurcation

Publications

74.2K

Deterministic Nonperiodic Flow

Edward N. Lorenz · Journal of the Atmospheric Sciences · 1963 · 19.3K citations · Full text

Natural Sciences, Mathematics, Physics +12

Synchronization in chaotic systems

Louis M. Pecora, Thomas L. Carroll · Physical Review Letters · 1990 · 10.6K citations

Natural Sciences, Mathematics, Dynamical Systems +14

Determining Lyapunov exponents from a time series

Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.4K citations · Full text

Natural Sciences, Physics, Dynamical Systems +13

<i>Linear and Nonlinear Waves</i>

G. B. Whitham, Richard Fowler · Physics Today · 1975 · 8.3K citations

Natural Sciences, Mathematics, Physics +17

Pattern formation outside of equilibrium

M. C. Cross, P. C. Hohenberg · Reviews of Modern Physics · 1993 · 7.8K citations

Natural Sciences, Physics, Dynamical Systems +16

1–5 of 74.2K

Authors

74.4K

GC
Guanrong Chen
City University of Hong Kong, Hong Kong SAR China
273 publications · 27.9K citations
85
h-index
EO
Edward Ott
University of Maryland, College Park, United States
146 publications · 23.9K citations
71
h-index
CG
Celso Grebogi
University of Maryland, College Park, United States
156 publications · 17.4K citations
68
h-index
LO
Leon O. Chua
University of California, Berkeley, United States
182 publications · 17.1K citations
65
h-index
JC
Jinde Cao
Southeast University, China
184 publications · 13K citations
65
h-index

1–5 of 74.4K

Institutions

8.5K

1–8 of 8.5K

Venues

Physical Review Letters
PRL · 1.5K publications · 173.9K citations
188
h-index
Physica D Nonlinear Phenomena
1.3K publications · 118.6K citations
146
h-index
IEEE Transactions on Automatic Control
806 publications · 82.3K citations
138
h-index
Automatica
725 publications · 77.1K citations
136
h-index
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
PRE · 1.5K publications · 80.7K citations
123
h-index

1–5