Hopf bifurcations
Hopf Bifurcations in a Predator Prey System of Population Allelopathy with Discrete Delay
... the Hopf bifurcation theorem for FDEs, we find that the system can also undergo a Hopf bifurcation of nonconstant pe- riodic solution at the positive equilibrium when the delay crosses through a sequence of ...
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Singular Hopf Bifurcations in DAE Models of Power Systems
... of bifurcations that are widely found in nonlinear ...such bifurcations is the well- known Hopf bifurcation when a linearized system has a pair of complex conjugate eigenvalues on the imaginary axis ...
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The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability
... indicates bifurcations of a fixed point (FP) or a limit cycle (LC) giving rise to or involving the Δϕ = 0 in-phase (IP) or Δϕ = π anti-phase (AP) solution branches; PD: period doubling; PF: pitchfork; TR: torus ...
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Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales
... of Hopf bifurcations. The existence and location of any Hopf bifurcations in a model can easily be established by computing the eigenvalues of the system linearised about the equilibrium ...
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Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory
... The details of the dyriarnics near the irivariarit subspaces for instance in Figure 3 reveals that the 'in' dynamics witllirl V is periodic wliile the 'out' dyrlarnics is chaotic, and so[r] ...
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Hopf bifurcations in an extended Lorenz system
... values of the parameters, this system can be transformed to the classical Lorenz system. In this paper, we give conditions for occurrence of Hopf bifurcation at the equilibrium points. We find totally three limit ...
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Zero Hopf bifurcation and Hopf bifurcation for smooth Chua’s system
... three Hopf bifurcations, which occur in Chua’s dif- ferential equations with cubic nonlinearity, was studied in ...codimension-three Hopf bifurcations for the nontriv- ial equilibria in Chua’s ...
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Fiscal policy and indeterminacy in models of endogenous growth
... the Hopf bifurcation in Figure 1, all balanced growth paths are stable focii–any point in their neighborhood satisfies the equilibrium ...τ Hopf k , and balanced growth paths are locally unstable ...the ...
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Bifurcation and chaos of a particle motion system with holonomic constraint
... The results show that the rich dynamic behaviors of the particle motion system, including Hopf bifurcations, interconversion of the stable manifolds and the unstable manifolds at multi- ple equilibrium ...
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The stability of codimension one bifurcations of the planar replicator equations
... the bifurcations induced as a smooth curve intersects a cod 1 stratum transversally and we find that locally degenerate Hopf bifurcations and exchange of stability (transcritical ) ...
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Stability and Bifurcation Analysis in A SEIR Epidemic Model with Nonlinear Incidence Rates
... The remainder of the paper is organized as follows. In Section 2, we investigate the stability of the positive equilibrium and the occurrence of local Hopf bifurcations. In Section 3, the direction and ...
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Limit cycle oscillatory coexpression of cross inhibitory transcription factors: a model mechanism for lineage promiscuity
... The λ-diagram Figure 4, right is initially structurally similar to the a12 -diagram Figure 4, left, featuring two consecutive supercritical Hopf bifurcations at λ = 0.95 and λ = 1.08 in [r] ...
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Bifurcations of transition states
... possible bifurcations are well known, and can be found in the literature, ...These bifurcations however affect the underlying transport problem, see ...The bifurcations of periodic orbit transition ...
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The Return Map for a Planar Vector Field with Nilpotent Linear Part: A Direct and Explicit Derivation
... Rousseau, “Normal forms, bifurcations and finiteness properties of vector fields,” in Normal Forms, Bifurcations and Finiteness Problems in Differential Equations, vol.. Guckenheimer, “Re[r] ...
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Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time Delay System
... supercritical Hopf bifurcation), and quasiperiodic ...the Hopf-Hopf bifurcation that results when two parameters (corresponding to the speed of sound in the fluid and the delay propagation time) are ...
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James bundles
... 3 . 7 . Remark . In [12] we shall relate James bundles to multiple points of immersions: if f: M ! C is a transverse map, then the PoincarM ee duals of the pull-backs of the James bundles comprise a self-transverse ...
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Hopf Modules in the Category of Yetter Drinfeld Modules
... weak Hopf algebra in the braided category of modules over a weak Hopf ...of Hopf modules for the categorical weak Hopf algebra motivation to study quasitriangular weak Hopf algebras is ...
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A Class of Weak Hopf Algebras
... weak Hopf algebras were given in 3. Up to now, many examples of weak Hopf algebras have been found 2, 4– ...weak Hopf algebras were based on some Hopf algebras and were constructed by weak ...
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Identification of bifurcation transitions in biological regulatory networks using Answer-Set Programming
... the bifurcations presented in this paper, it will provide an efficient way to delineate all the transitions that control the reachability of the goal ...identified bifurcations for driving esti- mations of ...
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