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Scaling behavior of nonhyperbolic coupled map lattices

Scaling behavior of nonhyperbolic coupled map lattices

Coupled map lattices of nonhyperbolic local maps arise naturally in many physical situations described by discretized reaction diffusion equations or discretized scalar field theories. As a prototype for these types of lattice dynamical systems we study diffusively coupled Tchebyscheff maps of $N\text{th}$ order which exhibit strongest possible chaotic behavior for …