Generic bifurcation of periodic points [PDF]
Transactions of the American Mathematical Society, 1970 This paper discusses the bifurcation of periodic points of a generic symplectic diffeomorphism of a two manifold that depends on a parameter. A complete classification of the types of bifurcation that can occur in the generic case is given.
K. R. Meyer
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Bifurcations and degenerate periodic points in a three dimensional chaotic fluid flow [PDF]
, 2016 Analysis of the periodic points of a conservative periodic dynamical system uncovers the basic kinematic structure of the transport dynamics, and identifies regions of local stability or chaos.
Lester, Daniel R. +3 more
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Asymptotically Periodic and Bifurcation Points in Fractional Difference Maps [PDF]
Fractal and FractionalThe first step in investigating fractional difference maps, which do not have periodic points except fixed points, is to find asymptotically periodic and bifurcation points and draw asymptotic bifurcation diagrams.
Mark Edelman
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Convergence to the Critical Attractor at Infinite and Tangent Bifurcation Points [PDF]
, 2005 The dynamics of the convergence to the critical attractor for the logistic map is investigated. At the border of chaos, when the Liapunov exponent is zero, the use of the non-extensive statistical mechanics formalism allows to define a weak sensitivity ...
Tonelli, R.
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Emerging criticality at bifurcation points in heteroclinic dynamics [PDF]
Physical Review Research, 2020 Heteroclinic dynamics is a suitable framework to describe transient dynamics that is characteristic for ecological as well as neural systems, in particular for cognitive processes.
Maximilian Voit +1 more
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Bifurcation of Fredholm maps II; The dimension of the set of bifurcation points [PDF]
, 2011 We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linearization of the problem along the trivial branch of solutions.Comment: 15 ...
Pejsachowicz, Jacobo
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Exceptional Points of Degeneracy and Branch Points for Coupled Transmission Lines—Linear-Algebra and Bifurcation Theory Perspectives [PDF]
IEEE Transactions on Antennas and Propagation, 2019 We provide a new angle to investigate exceptional points of degeneracy (EPD) relating the current linear-algebra point of view to bifurcation theory.
George W Hanson +2 more
exaly +2 more sources
[Path dependency, bifurcation points and the role of sociology. A sociological attempt at interpreting the corona crisisDépendance au sentier, points de bifurcation et le rôle de la sociologie. Une tentative d'interprétation sociologique de la crise du coronavirus]. [PDF]
Berl J Soziol, 2020 Rosa H.
europepmc +3 more sources
Developing and Investigation the Numerical Efficiency of Modified Energy Method in Solid Mechanics With Geometric Nonlinearity and Bifurcation Points [PDF]
Journal of Structural and Construction Engineering, 2021 Geometric nonlinear analyses are used in many structural problems, such as the determination of failure load, as well as the study of buckling mechanism.
Ahmad Razaghi +2 more
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Optimization of Hopf Bifurcation Points
SIAM Journal on Scientific Computing, 2023 We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of solving an optimization problem constrained by an extended system of nonlinear partial differential equations that characterizes Hopf bifurcation points.
Nicolas Boullé +2 more
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