Existence of chaos for partial difference equations via tangent and cotangent functions
Haihong Guo, Wei Liang
Abstract
Abstract This paper is concerned with the existence of chaos for a type of partial difference equations. We establish four chaotification schemes for partial difference equations with tangent and cotangent functions, in which the systems are shown to be chaotic in the sense of Li–Yorke or of both Li–Yorke and Devaney. For illustration, we provide three examples are provided.
Topics & Concepts
MathematicsPartial differential equationTrigonometric functionsChaoticTangentOrdinary differential equationPartial derivativeMathematical analysisCHAOS (operating system)Pure mathematicsDifferential equationGeometryComputer scienceComputer securityArtificial intelligenceQuantum chaos and dynamical systemsMathematical Dynamics and FractalsAdvanced Differential Equations and Dynamical Systems