1,396
Journals
14.8K
Articles
270K
Citations
5K
Authors

Most Cited Articles of Hopf bifurcation

TitleJournalYearCitations
From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillatorsPhysica D: Nonlinear Phenomena20001.8K
Local and Global Instabilities in Spatially Developing FlowsAnnual Review of Fluid Mechanics19901.4K
Sniffers, buzzers, toggles and blinkers: dynamics of regulatory and signaling pathways in the cellCurrent Opinion in Cell Biology20031.2K
Heterogeneous beliefs and routes to chaos in a simple asset pricing modelJournal of Economic Dynamics and Control19981K
Discovering governing equations from data by sparse identification of nonlinear dynamical systemsProceedings of the National Academy of Sciences of the United States of America20161K
An Equatorial Ocean Recharge Paradigm for ENSO. Part I: Conceptual ModelJournals of the Atmospheric Sciences19971K
The Hopf Bifurcation and Its ApplicationsApplied Mathematical Sciences (Switzerland)1976948
Type I membranes, phase resetting curves, and synchronyNeural Computation1996748
Stability of analog neural networks with delayPhysical Review A1989717
Dynamics of HIV infection of CD4+ T cellsMathematical Biosciences1993641
On a self-sustaining process in shear flowsPhysics of Fluids1997586
Modeling immunotherapy of the tumor-immune interactionJournal of Mathematical Biology1998537
Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological modelsJournal of Mathematical Biology1986520
Dynamical behavior of epidemiological models with nonlinear incidence ratesJournal of Mathematical Biology1987509
Body Size and Consumer-Resource DynamicsAmerican Naturalist1992505
Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOLACM Transactions on Mathematical Software2002488
Stability and Bifurcation in a Delayed Holling-Tanner Predator-Prey System with Ratio-Dependent Functional ResponseJournal of Applied Mathematics2012467
Rate and state dependent friction and the stability of sliding between elastically deformable solidsJournal of the Mechanics and Physics of Solids2001434
Amplitude response of coupled oscillatorsPhysica D: Nonlinear Phenomena1990432
Autocatalytic reactions in the isothermal, continuous stirred tank reactorChemical Engineering Science1984415
Delay-induced stochastic oscillations in gene regulationProceedings of the National Academy of Sciences of the United States of America2005412
Are Biological Systems Poised at Criticality?Journal of Statistical Physics2011398
Slip motion and stability of a single degree of freedom elastic system with rate and state dependent frictionJournal of the Mechanics and Physics of Solids1984398
Dynamical behavior of an epidemic model with a nonlinear incidence rateJournal of Differential Equations2003385