Chaotic Behavior in Piecewise Continuous Difference Equations

Cantor set rotation number sensitive dependence on initial data chaotic behavior in piecewise continuous difference equations piecewise continuous mappings mapping the unit interval into itself

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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