Period-doubling bifurcation
ANALYSIS ON STABILITY OF PERIODIC POINTS, PERIOD DOUBLING BIFURCATION AND LYPUNOV EXPONENT IN A CHAOTIC MODEL
... The word ‘Bifurcation’ literally means splitting into two parts. It is often desirable to know how the fixed points of a system change when a parameter of the system is changed. Normally a gradual variation of a ...
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Dynamics of of single- and multicontact external cavity semiconductor lasers under intracavity frequency sweeping: effects of material and laser parameters.
... repetition period of half of the round- trip time of laser cavity; in other words, with two pulses for each repetition period ...a period doubling ...
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Bi Stable Spiral Waves: Stepped Spiral Waves
... exhibiting period-doubling bi- furcations. Prior to the period-doubling bifurcation of this system, the stepped spiral waves are produced by an unwanted phase trajectory event; the loss ...
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Period doubling and Neimark–Sacker bifurcations of plant–herbivore models
... of bifurcation theory and center manifold theorem, we obtained that both models undergo Neimark– Sacker bifurcation and period-doubling bifurcation at their positive steady ...
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Empirical assessment of bifurcation regions within new Keynesian models
... doubling bifurcation will occur if the central bank actively reacts to the output ...gap. Bifurcation analysis of monetary policy rules with interest rate smoothing reveal two types of ...Hopf ...
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On Universality of Transition to Chaos Scenario in Nonlinear Systems of Ordinary Differential Equations of Shilnikov’s Type
... a period doubling bifurcation of the original stable cycle takes place and for a ∈ [ ...double period cycle is observed, for a ∈ [ ...of period 4, for a ∈ [ 1.355,1.376 ] we found a ...
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Structural Stability of the Generalized Taylor Rule
... Hopf bifurcation which would lead to a change from a stable to unstable solution (or vice versa) in response to a (potentially tiny) change in the parameter ...a period doubling ...
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Bifurcation theory of a square lattice economy: Racetrack economy analogy in an economic geography model
... A proper setting of a spatial platform is vital in the investigation of spatial economic agglomerations. A racetrack economy (Fig. 1(a)), which represents a series of places on a circle, is capable of representing some ...
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Stability Analysis in Positive Output and Negative Output DC to DC Converters Used in Renewable Energy Applications
... The stability region of positive output ZETA converter and negative output CIO Power Buck Boost converter were found by simulation results and theoretically by Monodromy matrix approach. It shows that the both the ...
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Morphosyntactic doubling in code switching
... switched doubling as a chain linearization phenomenon is that it allows us to capture the potential (though unattested) doubling of nominal expressions as well as the substantially attested doubling ...
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Nonsmooth dynamics in spiking neuron models
... Large scale studies of spiking neural networks are a key part of modern approaches to understanding the dynamics of biological neural tissue. One approach in computational neuroscience has been to consider the detailed ...
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Dynamical analysis of a competition and cooperation system with multiple delays
... Hopf bifurcation occurs. Furthermore, we give details of the bifurcation values that describe the direction of the Hopf bifurcation and the stability of the bifurcated periodic solution using centre ...
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A model for aperiodicity in earthquakes
... slipping beyond the driver plate. Initially the block is stuck on a rough surface so the relative slip to the driver plate de- creases at a constant rate as the driver plate catches up and even surpasses the block. Once ...
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Evolution of the L1 halo family in the radial solar sail CRTBP
... number β in the RSCRTBP. To achieve this we use the boundary-value prob- lem numerical continuation methods implemented in the AUTO software package (Doedel et al. 1991, 2011). AUTO is a powerful tool for studying ...
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Dermatology within the UK podiatric literature: a content analysis (1989-2010)
... As part of the CPD process, distance learning modules in dermatology were noted to be advertised monthly within the journal, offered by a private company from 2003 continuously until the end of the study period ...
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Fundamental Constants in Time from the Big-Bang
... well-known period doubling (PD) process occurring in various nonlinear dynamical systems [1-8], can be related to the Coulomb energy of the elementary charge and thereby to the fine structure constant alpha ...
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Discretization analysis of bifurcation based nonlinear amplifiers
... the Neimark Sacker system Eq. (4), the rescaled Neimark– Sacker system Eq. (11) and the Runge–Kutta 4 method ap- plied to the rescaled Andronov–Hopf bifurcation (Feldkord et al., 2016). In the excitation term, n ...
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Three dimensional dynamics of a flexible Motorised Momentum Exchange Tether
... In comparison to the responses for the tether with an applied torque, as shown in Figure 7, the difference in planar motion has shown that the rigid body model moves at a higher rate when compared with the flexible ...
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Prospects of doubling global wheat yields
... the period immediately preflowering is crucial for yield determina- tion, as the most important yield components are defined in that ...the period between 30 days before and 10 days after flowering (Fischer ...
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Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model
... Hopf bifurcation. Moreover, bifurcation of mul- tiple limit cycles is explored to show that the food chain model can exhibit at least three limit cycles due to Hopf bifurcation, which may explain the ...
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