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Bifurcation theory
Known as:
Global bifurcations
, Bifurcation
, Bifurcation point
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Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of…
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Related topics
Related topics
39 relations
Bifurcation diagram
Bifurcation memory
Biological neuron model
Buckling
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2010
Highly Cited
2010
ANGULAR MOMENTUM LOSS FROM COOL STARS: AN EMPIRICAL EXPRESSION AND CONNECTION TO STELLAR ACTIVITY
S. Barnes
,
Yong-Cheol Kim
2010
Corpus ID: 118881956
We show here that the rotation period data in open clusters allow the empirical determination of an expression for the rate of…
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Highly Cited
2010
Highly Cited
2010
A Design-Oriented Combined Approach for Bifurcation Prediction in Switched-Mode Power Converters
A. E. Aroudi
,
E. Rodriguez
,
R. Leyva
,
E. Alarcón
IEEE Transactions on Circuits and Systems - II…
2010
Corpus ID: 1772541
In this brief, two different approaches are combined for studying the stability of a buck switching power dc-dc converter and for…
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Highly Cited
2005
Highly Cited
2005
Dynamic Complexities in a Lotka-volterra Predator-prey Model Concerning impulsive Control Strategy
Bing Liu
,
Yujuan Zhang
,
Lansun Chen
International Journal of Bifurcation and Chaos in…
2005
Corpus ID: 42790149
Based on the classical Lotka–Volterra predator–prey system, an impulsive differential equation to model the process of…
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Highly Cited
2004
Highly Cited
2004
Elastoplastic microscopic bifurcation and post-bifurcation behavior of periodic cellular solids
D. Okumura
,
N. Ohno
,
H. Noguchi
2004
Corpus ID: 55041210
Highly Cited
2004
Highly Cited
2004
Computation of singular and singularity induced bifurcation points of differential-algebraic power system model
S. Ayasun
,
C. Nwankpa
,
H. Kwatny
IEEE Transactions on Circuits and Systems Part 1…
2004
Corpus ID: 14401340
In this paper, we present an efficient algorithm to compute singular points and singularity-induced bifurcation points of…
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Highly Cited
2001
Highly Cited
2001
Finite crack kinking and T-stresses in functionally graded materials
T. Becker
,
R. M. Cannon
,
R. Ritchie
2001
Corpus ID: 137111321
Highly Cited
1999
Highly Cited
1999
Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems
F. Cuesta
,
F. Gordillo
,
J. Aracil
,
A. Ollero
IEEE transactions on fuzzy systems
1999
Corpus ID: 10224811
Points out how the nonlinearities involved in multivariable Takagi-Sugeno (T-S) fuzzy control systems could originate complex…
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Highly Cited
1993
Highly Cited
1993
Multiple steady states in heterogeneous azeotropic distillation
N. Bekiaris
,
G. Meski
,
M. Morari
1993
Corpus ID: 18081049
We study multiple steady states in ternary homogeneous azeotropic distillation. We show that in the case of infinite reflux and…
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Highly Cited
1991
Highly Cited
1991
Automatic Analysis of One-Parameter Planar Ordinary Differential Equations by Intelligent Numeric Simulation
E. Sacks
Artificial Intelligence
1991
Corpus ID: 43503954
Highly Cited
1975
Highly Cited
1975
Bifurcation Analysis of Nonlinear Reaction-Diffusion Equations II
M. Kaufman
1975
Corpus ID: 125120637
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