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Hopf bifurcation
Known as:
Andronov-Hopf bifurcation
, Andronov–Hopf bifurcation
, Hopf bifurcation theorem
In the mathematical theory of bifurcations, a Hopf bifurcation is a critical point where a system's stability switches and a periodic solution arises…
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Related topics
Related topics
18 relations
Belousov–Zhabotinsky reaction
Bifurcation theory
Cellular model
Characteristic polynomial
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Complexity and Hopf Bifurcation Analysis on a Kind of Fractional-Order IS-LM Macroeconomic System
Junhai Ma
,
Wenbo Ren
International Journal of Bifurcation and Chaos in…
2016
Corpus ID: 207129210
On the basis of our previous research, we deepen and complete a kind of macroeconomics IS-LM model with fractional-order calculus…
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2014
2014
Circuit realization, bifurcations, chaos and hyperchaos in a new 4D system
A. El-Sayed
,
H. Nour
,
A. Elsaid
,
A. Matouk
,
A. Elsonbaty
Applied Mathematics and Computation
2014
Corpus ID: 27514292
Highly Cited
2010
Highly Cited
2010
Analysis of Slow-Scale Instability in Boost PFC Converter Using the Method of Harmonic Balance and Floquet Theory
Faqiang Wang
,
Hao Zhang
,
Xikui Ma
IEEE Transactions on Circuits and Systems Part 1…
2010
Corpus ID: 33969548
In this paper, the slow-scale instability in a boost PFC converter under average current mode control is studied via the harmonic…
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2009
2009
Degenerate Hopf bifurcations in Chua's System
Marcelo Messias
,
Denis de Carvalho Braga
,
L. F. Mello
International Journal of Bifurcation and Chaos in…
2009
Corpus ID: 30990252
In this paper we study the local codimension one, two and three Hopf bifurcations which occur in the classical Chua's…
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Highly Cited
2007
Highly Cited
2007
Nonequilibrium entropy limiters in lattice Boltzmann methods
R. Brownlee
,
Alexander N Gorban
,
J. Levesley
2007
Corpus ID: 58710
2007
2007
Stability Switches and Hopf Bifurcations in a Pair of Delay-Coupled Oscillators
Yongli Song
,
Junjie Wei
,
Yuan Yuan
Journal of nonlinear science
2007
Corpus ID: 28545734
In this paper, we consider a pair of delay-coupled limit-cycle oscillators. Regarding the arithmetical average of two delays as a…
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2000
2000
Double singularity-induced bifurcation points and singular Hopf bifurcations
R. Beardmore
2000
Corpus ID: 2663194
The singularity-induced bifurcation and singular Hopf bifurcation theorems and the degeneracies that arise when Newton's laws are…
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Highly Cited
1998
Highly Cited
1998
Feedback Control of Limit Cycle Amplitudes from A Frequency Domain Approach
D. W. Berns
,
J. Moiola
,
Guanrong Chen
at - Automatisierungstechnik
1998
Corpus ID: 32715845
1998
1998
Feedback control of Hopf bifurcations
Guanrong Chen
,
K. Yap
,
Jialiang Lu
ISCAS '98. Proceedings of the IEEE International…
1998
Corpus ID: 123177493
Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is…
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1976
1976
The Hopf Bifurcation Theorem.
M. Crandall
,
P. Rabinowitz
1976
Corpus ID: 117940751
Abstract : The Hopf Bifurcation Theorem concerns the bifurcation of a family of time periodic solutions of an evolution equation…
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