Keyword

limit cycles

Description: Limit cycles are isolated closed trajectories in dynamical systems, often studied in differential equations to understand periodic behavior and stability.

Primary topic: Advanced Differential Equations and Dynamical Systems (34%)

Wikidata ID: wiki/Q1545916

OpenAlex ID: keywords/limit-cycles

Impulses and Physiological States in Theoretical Models of Nerve Membrane

1961 · Richard FitzHugh · Biophysical Journal · 6,264

Quantitative universality for a class of nonlinear transformations

1978 · Mitchell J. Feigenbaum · Journal of Statistical Physics · 3,589

Multiple Lyapunov functions and other analysis tools for switched and hybrid systems

1998 · M.S. Branicky · IEEE Transactions on Automatic Control · 3,283

Mathematical Bioeconomics: The Optimal Management of Renewable Resources.

1993 · C. Clark · Biometrics · 2,668

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering

1995 · Steven H. Strogatz, Ronald F. Fox · Physics Today · 2,583

Nonlinear Dynamics and Chaos

2018 · Steven H. Strogatz · CRC Press eBooks · 2,137

A model of neuronal bursting using three coupled first order differential equations

1984 · J. L. Hindmarsh, R. M. Rose · Proceedings of the Royal Society B Biological Sciences · 1,946

Universality and complexity in cellular automata

1984 · Stephen Wolfram · Physica D Nonlinear Phenomena · 1,915

Non-linear Time Series

1990 · Howell Tong · 1,875

Intrinsic and extrinsic contributions to stochasticity in gene expression

2002 · Peter S. Swain, Michael B. Elowitz, et al. · Proceedings of the National Academy of Sciences · 1,659

Nonlinear Dynamics and Chaos

1992 · 1,551

Qualitative Theory of Differential Equations

1961 · Princeton University Press eBooks · 1,489

MATCONT

2003 · A. Dhooge, W. Govaerts, et al. · ACM Transactions on Mathematical Software · 1,478

Threshold Autoregression, Limit Cycles and Cyclical Data

1980 · H. Tong, K. S. Lim · Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1,316

Universality in few-body systems with large scattering length

2006 · Eric Braaten, H.-W. Hammer · Physics Reports · 1,314

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Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction

1974 · Richard J. Field, Richard M. Noyes · The Journal of Chemical Physics · 1,288

On the Evidence Needed to Judge Ecological Stability or Persistence

1983 · Joseph H. Connell, Wayne P. Sousa · The American Naturalist · 1,199

Spatio‐temporal complexity of slip on a fault

1993 · James R. Rice · Journal of Geophysical Research Atmospheres · 1,093

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Nonlinear Systems Third Edition

2008 · Hassan K. Khalil · 981

Testing and Modeling Threshold Autoregressive Processes

1989 · Ruey S. Tsay · Journal of the American Statistical Association · 980

Dynamics of HIV infection of CD4+ T cells

1993 · Alan S. Perelson, Denise E. Kirschner, et al. · Mathematical Biosciences · 976

Synergetics: An Introduction. Nonequilibrium Phase Transitions and Self- Organization in Physics, Chemistry and Biology

1977 · Hermann Haken · CERN Document Server (European Organization for Nuclear Research) · 897

Qualitative Theory of Planar Differential Systems

2006 · Dumortier, Freddy, Llibre, Jaume, et al. · Springer eBooks · 848

Nonlinear Oscillations

1981 · Peter Hagedorn, Wolfram Stadler, et al. · Journal of Applied Mechanics · 773

On the dynamic behavior of continuous stirred tank reactors

1974 · A. Uppal, W.H. Ray, et al. · Chemical Engineering Science · 736

Works count: 21,350

Citation count: 318,500