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RESEARCH PRODUCT
Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system
Guanrong ChenMichal FečkanMichal FečkanMarius-f. DancaNikolay KuznetsovNikolay Kuznetsovsubject
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)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-04-28 | Nonlinear Dynamics |