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Chaos and Bifurcation.

Chaos and bifurcation of discontinuous dynamical systems with piecewise constant arguments

Chaos and bifurcation of discontinuous dynamical systems with piecewise constant arguments

... In this paper we are concerned with the definition and some properties of the discontinuous dynamical systems generated by piecewise constant arguments. Then we study a discontinuous dynamical system of the Riccati type ...

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Bifurcation and chaos control in a discrete time predator–prey model with nonlinear saturated incidence rate and parasite interaction

Bifurcation and chaos control in a discrete time predator–prey model with nonlinear saturated incidence rate and parasite interaction

... flip bifurcation, Hopf bifurcation and controlling chaos in planar discrete-time models and a little work is performed for controlling chaos and bifurcation analysis for discrete-time ...

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Chaos and bifurcation of the Logistic discontinuous dynamical systems with piecewise constant arguments

Chaos and bifurcation of the Logistic discontinuous dynamical systems with piecewise constant arguments

... In this paper we are concerned with the definition and some properties of the discontinuous dynamical systems generated by piecewise constant arguments. Then we study two discontinuous dynamical system of the Logistic ...

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Bifurcation and Chaos in Delayed Cellular Neural Network Model

Bifurcation and Chaos in Delayed Cellular Neural Network Model

... including chaos for different range of weight parameters of the ...and chaos in a new family of 4-CNNs for different range of adjustable parameters of main diagonal of the weight ...through ...

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Bifurcation of Parameter Space and Chaos in Mira 2 Map

Bifurcation of Parameter Space and Chaos in Mira 2 Map

... The bifurcation diagram of Mira 2 map (1) for A = ...Naimark-Sacker bifurcation from period-1 orbit at B = ...Naimark-Sacker bifurcation and quasi-period behaviors are immersed in chaos ...

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Bifurcation, chaos analysis and control in a discrete time predator–prey system

Bifurcation, chaos analysis and control in a discrete time predator–prey system

... –0.09270059512 + 0.1894262031i, and L = 0.1558240975 > 0. The numerical simulation result is shown in Fig. 4, which confirms the existence of a repelling closed orbit in the phase space for s = 0.12. On the basis of ...

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Hybrid Control of Bifurcation and Chaos in Dynamic Model of Compound TCP under RED

Hybrid Control of Bifurcation and Chaos in Dynamic Model of Compound TCP under RED

... of bifurcation and chaos analysis and its control of a nonlinear congestion control model with CTCP connections and random early detection (RED) ...the bifurcation and stabilize the chaotic orbits ...

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Fractional order Chua’s system: discretization, bifurcation and chaos

Fractional order Chua’s system: discretization, bifurcation and chaos

... A discretization process will be applied to obtain its discrete version. Fixed points and their asymptotic stability are investigated. Chaotic attractor, bifurcation and chaos for different values of the ...

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Bifurcation and Chaos of Gear Pair System Supported by Long Journal Bearings Based on Turbulent Flow Effect and Nonlinear Suspension Effect

Bifurcation and Chaos of Gear Pair System Supported by Long Journal Bearings Based on Turbulent Flow Effect and Nonlinear Suspension Effect

... a bifurcation control parameter. Figure 3 pre- sents the bifurcation diagrams for the gear-bearing sys- tem displacement against the dimensionless rotational speed ratio, s and some dynamic trajectories and ...

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Bifurcation and chaos of an SIS model with logistic term

Bifurcation and chaos of an SIS model with logistic term

... flip bifurcation, Hopf bifurcation and ...Furthermore, chaos can cause the population to run a higher risk of extinction due to the unpredictably ...control chaos in the epidemic model is very ...

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Bifurcation Analysis and Chaos in Electronic Genetic Toggle Switch

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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Hopf bifurcation and chaos control for a Leslie–Gower type generalist predator model

Hopf bifurcation and chaos control for a Leslie–Gower type generalist predator model

... the bifurcation parameter, then passing through a certain critical value, the stability of the equilibrium will be changed from unstable to stable, chaos will vanish, and a periodic solution will ...

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Chaos control and Hopf bifurcation analysis of the Genesio system with distributed delays feedback

Chaos control and Hopf bifurcation analysis of the Genesio system with distributed delays feedback

... In order to better model some complicated practical phenomena, recently, distributed time delay has been introduced into many modeling systems. There are extensive literature works dealing with such systems [–]. As ...

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Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos

Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos

... The organization of the paper is as follows. In Section 2, after some fractional calculus preliminaries, we review some results for relations between properties of equilibria and possibility of existence of chaos ...

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Bifurcation and Chaos in a Parasitoid Host Parasitoid Model

Bifurcation and Chaos in a Parasitoid Host Parasitoid Model

... possible chaos qualitatively. Based on the center manifold theorem and bifurcation theory (see [12] [13]), we can obtain the detailed existence conditions of these ...including bifurcation diagrams, ...

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Bifurcation and chaos in a host parasitoid model with a lower bound for the host

Bifurcation and chaos in a host parasitoid model with a lower bound for the host

... parametric condition system (1.2) admits a bifurcation in Section 3. Numerical simula- tions using MATLAB are applied in Section 4 to support the theoretical analyses and vi- sualize the newly observed complex ...

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Bifurcation and chaos of a particle motion system with holonomic constraint

Bifurcation and chaos of a particle motion system with holonomic constraint

... rich dynamic behaviors of the particle motion system, including the degenerate Hopf bifurcations at multiple.. equilibrium points, the chaotic behaviors of the particle motion1[r] ...

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Chaos Control of a Resource-Economic-Pollution Dynamic System

Chaos Control of a Resource-Economic-Pollution Dynamic System

... control chaos in the economic system has aroused the interest of ...the chaos control in a new Resource-Economic-Pollution system by time-delayed feedback ...Hopf bifurcation of the system. Numerical ...

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Bifurcation Analysis and Fractal Dimensions of a Non- Linear Map

Bifurcation Analysis and Fractal Dimensions of a Non- Linear Map

... The bifurcation diagram nicely shows the forking of the periods of stable orbits from 1 to 2, then 2 to 4 ...the bifurcation point, which may help to confirm ...to chaos as “a” is ...

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Stability Analysis in Positive Output and Negative Output DC to DC Converters Used in Renewable Energy Applications

Stability Analysis in Positive Output and Negative Output DC to DC Converters Used in Renewable Energy Applications

... like bifurcation and chaos in dc to dc converter are used to study the complex behavior under load and line ...different bifurcation parameters like load resistance, reference current and voltage ...

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