Search results for "continuous approximation"

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Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system

2018

In this paper, a continuous approximation to studying a class of PWC systems of fractionalorder is presented. Some known results of set-valued analysis and differential inclusions are utilized. The example of a hyperchaotic PWC system of fractional order is analyzed. It is found that without equilibria, the system has hidden attractors.

likiarvotFOS: Physical sciencesAerospace EngineeringattraktoritOcean EngineeringDynamical Systems (math.DS)hidden chaotic attractor01 natural sciences010305 fluids & plasmasDifferential inclusion0103 physical sciencesAttractorFOS: MathematicsApplied mathematicsOrder (group theory)Mathematics - Dynamical Systemsdynaamiset systeemitElectrical and Electronic Engineering010301 acousticsMathematicskaaosteoriaContinuous approximationmurtoluvutperiodicity of fractional-order systemPWC system of fractional orderApplied MathematicsMechanical EngineeringNonlinear Sciences - Chaotic DynamicsNonlinear Sciences::Chaotic DynamicsComplex dynamicshyperchaosControl and Systems Engineeringcontinuous approximationapproksimointiChaotic Dynamics (nlin.CD)Nonlinear Dynamics
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Spatially-induced nestedness in a neutral model of phage-bacteria networks

2017

[EN] Ecological networks, both displaying mutualistic or antagonistic interactions, seem to share common structural traits: the presence of nestedness and modularity. A variety of model approaches and hypothesis have been formulated concerning the significance and implications of these properties. In phage-bacteria bipartite infection networks, nestedness seems to be the rule in many different contexts. Modeling the coevolution of a diverse virus¿host ensemble is a difficult task, given the dimensionality and multi parametric nature of a standard continuous approximation. Here, we take a different approach, by using a neutral, toy model of host¿phage interactions on a spatial lattice. Each …

0106 biological sciences0301 basic medicineComputer sciencevirus–host interactionsVirus host interactionsBiologyBit array010603 evolutionary biology01 natural sciencesMicrobiology03 medical and health sciencesVirologyCoevolutionContinuous approximationMulti parametricToy modelEcologyNested networksEcological network030104 developmental biologyBipartite graphNestednessMatching allele dynamicsBiological systemNeutral modelResearch ArticleCurse of dimensionalityCoevolution
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