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Bifurcation Diagrams

Modelling and control of chaotic processes through their Bifurcation Diagrams generated with the help of Recurrent Neural Network models: Part 1—simulation studies

Modelling and control of chaotic processes through their Bifurcation Diagrams generated with the help of Recurrent Neural Network models: Part 1—simulation studies

... model Bifurcation point and other fea- tures ...of Bifurcation Diagrams (thus the shape of attractors) do not change with MSE of training and they appear very early with coarse MSE levels even when ...

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A Quantitative Method for Evaluating Reconstructed One-Dimensional Bifurcation Diagrams

A Quantitative Method for Evaluating Reconstructed One-Dimensional Bifurcation Diagrams

... the bifurcation diagrams from time-series data ...reconstructed bifurcation diagram is qualitatively compared with the original ...1-dimensional bifurcation diagrams by means of ...

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Modelling and control of chaotic processes
through their Bifurcation Diagrams generated
with the help of Recurrent Neural Networks
models Part 2 - Industrial Study

Modelling and control of chaotic processes through their Bifurcation Diagrams generated with the help of Recurrent Neural Networks models Part 2 - Industrial Study

... The approach adopted is broadly based in the prop- osition made in [10], where it has been suggested that by small changes in input parameters often the chaotic systemsÕ attractor can be changed significantly and used for ...

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Modelling and control of chaotic processes through their Bifurcation Diagrams generated with the help of Recurrent Neural Network models: Part 1—simulation studies

Modelling and control of chaotic processes through their Bifurcation Diagrams generated with the help of Recurrent Neural Network models: Part 1—simulation studies

... the Bifurcation Diagram once the architecture is not simpler than that of empirically suggested levels (section ...of Bifurcation Diagrams generated with different MSE levels has been plotted in ...

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An Efficient Method to Obtain Bifurcation Diagrams based on PSO Algorithms

An Efficient Method to Obtain Bifurcation Diagrams based on PSO Algorithms

... a bifurcation di- agram plotting tool, called BDT (Bifurcation Diagram Tool), was ...the bifurcation diagram, precision to find the roots, the minimum number of particles necessary for good ...

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Simplest bifurcation diagrams for monotone families of vector fields on a torus

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 horizontal ...

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Dynamics of an Optically Injected Diode Laser Subject to Periodic Perturbation: Occurrence of a Large Number of Attractors, Bistability and Metastable Chaos

Dynamics of an Optically Injected Diode Laser Subject to Periodic Perturbation: Occurrence of a Large Number of Attractors, Bistability and Metastable Chaos

... such bifurcation diagrams, graph of maximum Lyapunov exponent, phase portraits, Poincare sections, basin of attraction and two parameter diagrams, the dynamical behavior of the model is analyzed in ...

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Time-map analysis to establish the exact number of positive solutions of one-dimensional prescribed mean curvature equations

Time-map analysis to establish the exact number of positive solutions of one-dimensional prescribed mean curvature equations

... Cheng, Y, Hung, K, Wang, S: Global bifurcation diagrams and exact multiplicity of positive solutions for a one-dimensional prescribed mean curvature problem arising in MEMS.. Pan, H, Xin[r] ...

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IAENG International Journal of Applied Mathematics, 38:1, IJAM_38_1_01(Advance online publication: 19 February 2008)

IAENG International Journal of Applied Mathematics, 38:1, IJAM_38_1_01(Advance online publication: 19 February 2008)

... This section will give the numerical analysis of the deterministic and stochastic models in terms of Poincaré maps and bifurcation diagrams, and the main aim is to explore the influence of noise intensity ...

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Steady-state solutions of a mass-conserving bistable equation with a saturating flux

Steady-state solutions of a mass-conserving bistable equation with a saturating flux

... An understanding of exactly what happens in the ‘metastable’ regime (1/ √ 3 < | M | < 1) is required. We were not able to perform a two-parameter continuation in λ and in M of the saddle-nodes arising in the 1/ √ 5 ...

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Bifurcation and chaos of an SIS model with logistic term

Bifurcation and chaos of an SIS model with logistic term

... the bifurcation diagrams, Lyapunov exponents and phase portraits to illustrate the above analytic results and find new dynamic behaviors of the model (3) as the parameters ...The bifurcation ...

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Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development

Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development

... We conclude our analysis by fi rst discussing and then demon- strating that cell cycle recruitment of a quiescent cell by a proliferating cell via an ATP mediated calcium signalling mechan- ism is viable and this could be ...

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Identification and Check of Inconsistencies between UML Diagrams

Identification and Check of Inconsistencies between UML Diagrams

... Yun Wang argues that “an action of State Machine Diagrams should be defined in the class that a State Ma- chine Diagram belongs to.” [4]. This viewpoint is not accurate. It equates an action with an operation. ...

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Understanding Change Prone Classes in Object Oriented Software

Understanding Change Prone Classes in Object Oriented Software

... sequence diagrams (SDs) For example, when an object sends a synchronous message to another object and waits for a reply, we define the former object to be behaviorally dependent on the latter ...

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Research on The Performance of a Novel Dual –an Optical Access Passive Optical Network System with ODB and NRZ Downstream Signals

Research on The Performance of a Novel Dual –an Optical Access Passive Optical Network System with ODB and NRZ Downstream Signals

... spectrum diagrams, electrical diagrams and eye diagrams before and after downstream transmission over 20km single mode fiber (SMF), it is proved that the optical spectral efficiency of ODB downstream ...

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Bifurcation and Pattern Recognition

Bifurcation and Pattern Recognition

... Thus, working within the image basis allows us to measure and interpret the image multi-pixel state directly in a single measurement and the result of any coherent image’s multi-data sta[r] ...

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Against the bifurcation of virtue

Against the bifurcation of virtue

... Of course, if we drop the idea that motivations are intrinsically valuable, we can explain why her response doesn’t make sense: Since MRN is true and Sandy’s motivation fails to increase[r] ...

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Definition of the Ostium (Neck) of an Aneurysm Revealed by Intravascular Sonography: An Experimental Study in Canines

Definition of the Ostium (Neck) of an Aneurysm Revealed by Intravascular Sonography: An Experimental Study in Canines

... a bifurcation where vascular branching is complex, it is often difficult or even impossible to define these mor- phologic features by using currently available im- aging ...

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Neural Excitability and Singular Bifurcations

Neural Excitability and Singular Bifurcations

... analytical bifurcation results provide important information for the compu- tational neuroscience ...SNIC bifurcation associated with type I excitability only exists in a small parameter ...Andronov–Hopf ...

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Effect of Bifurcation Angle Configuration and Ratio of Daughter Diameters on Hemodynamics of Bifurcation Aneurysms

Effect of Bifurcation Angle Configuration and Ratio of Daughter Diameters on Hemodynamics of Bifurcation Aneurysms

... eurysms to variations of flow pattern and morphology, the hemo- dynamic parameter EL was used to evaluate the growth and rup- ture of this type of aneurysm. The aim of this study was to elucidate the relationship between ...

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