Bifurcation Diagram
An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics
... In [12], the authors formalize a framework to facilitate the connection between small- scale movement and patch-level predictions of persistence through a mechanistic model based on reaction–diffusion equations. The model ...
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Snakes and ladders in an inhomogeneous neural field model
... a bifurcation diagram for a = ...two-parameter bifurcation analysis for Heaviside case (reference intervals are reported on top of the bifurcation diagram of Figure ...snaking ...
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Mean field limits for interacting diffusions in a two scale potential
... the bifurcation diagram may appear for all finite values of , most, if not all, of them may not be present in the bifurcation diagram for the homogenized ...
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Bifurcation Analysis and Chaos in Electronic Genetic Toggle Switch
... the bifurcation diagram clearly more complex dynamical than fig 4, where according to the bifurcation phenomena leads to chaos, this chaotic behavior brings interior ...
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Chaos in driven Alfv´en systems: unstable periodic orbits and chaotic saddles
... A bifurcation diagram is constructed, by varying the driver amplitude, to identify a number of nonlinear dynamical processes including saddle- node bifurcation, boundary crisis, and interior ...
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Analysis on the Propagation of the Fiber Optic Signals in the Perturbed Nonlinear Schrödinger Equation
... According to the bifurcation diagram and the maximum Lyapunov exponents (see Figure 1). We can observe that the value of Lyapunov exponents is positive, so the system easily converts to chaos even if there ...
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A Seven Dimensional System of the Navier Stokes Equations for a Two Dimensional Incompressible Fluid on a Torus
... of bifurcation diagram, Lyapunov exponent spectrum, Poincare section, power spectrum and return map of the system, some basic dynamical behaviors of the new chaos system are ...
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Analysis of a dynamical system of animal growth and composition : a thesis submitted in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Albany, New Zealand
... different diagram for state variable viscera (V) (Figure ...a bifurcation point in the diagram but actual it is ...the bifurcation diagram in N, P, V, F , γ – space ...
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Three dimensional dynamics of a flexible Motorised Momentum Exchange Tether
... Dynamical systems sometimes enter regions of apparently irregular behaviour, making predictions of their future dynamics extremely difficult, particularly if the system appears to have been sensitive to the initial ...
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Exploration of Chaos and Bifurcations in a Solar PV MPPT SEPIC Converter System
... the bifurcation diagram of the state variables of the ...the bifurcation diagram of the input inductor current and the coupling inductor current and the transition in dynamics of the system ...
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Lateral Stability Analysis of Heavy Haul Vehicle on Curved Track Based on Wheel/Rail Coupled Dynamics
... a bifurcation diagram for the vehicle on the curved track is put forward to simulate the nonlinear critical ...the bifurcation diagram between on a curved track and on a tan- gent ...
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Investigation of the Mechanism of Tangent Bifurcation in Current Mode Controlled Boost Converter
... tangent bifurcation will be happened when the Lyapunov exponent is changed from the started posi- tive value to zero then to negative ...the bifurcation diagram given in Figure 3 showed a whole ...
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Bifurcations of the global stable set of a planar endomorphism near a cusp singularity
... all topologically different cases. Note that a and b then play essentially the same role, so that there is only one single two-parameter bifurcation diagram for the fold-cusp bifurcation. ...
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Simplest bifurcation diagrams for monotone families of vector fields on a torus
... the bifurcation diagram for a monotone two- parameter family of vector fields on a torus has to be at least as complicated as the conjectured simplest one proposed in ...homoclinic bifurcation of ...
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Bifurcations in the regularized Ericksen bar model
... In particular, the stationary solutions of (1.5) for the double Dirichlet boundary conditions correspond to the Cahn-Hilliard equation with mass zero. As a consequence the bifurcation diagram of the ...
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Nonlinear Dynamic Analysis of high speed multiple units Gear Transmission System with Wear Fault
... phase diagram, Poincaré section map, bifurcation diagram, and spectrogram of the response of the nonlinear gear sys- tem, the dynamic response of the gear transmission system under wear fault is ...
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Inverse bifurcation analysis: application to simple gene systems
... inverse bifurcation analysis, specifying a desired behavior on the transition points gives rise to conditions on the parameters in a more systematic and efficient ...the bifurcation diagram for the ...
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Dynamical analysis of a competition and cooperation system with multiple delays
... These formulae give a description of the Hopf bifurcation periodic solution of system (1.3) at τ = τ j (j = 0, 1, 2, . . .) on the centre manifold. Thus, we can obtain the following results according to the ...
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Bifurcation Analysis of a Coupled Acetylcholinesterase/Choline Acetyltransferase Enzymes Neurocycle
... dynamic bifurcation phenome- non obtained is the so-called periodic transient: An orbit in a dissipative system can show transient periodic be- havior, ...interesting bifurcation phenol- ...saddle-node ...
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A Tool for Generating Test Case from BPMN Diagram with a BPEL Diagram
... In this step, we merge the control flow graphs crated from the BPMN diagram and the BPEL diagram from the previous steps in order to create test cases from the merged graph. Fig 13 shows the result of ...
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