Category: Nonlinear Dyn.

Summary: Estimating critical behavior at the synchronization transition in one-dimensional coupled logistic-map lattices.

Synchronization transitions in coupled map lattices are a standard route into spatiotemporal chaos, yet the universality class for continuous maps remains unsettled. This experiment asks how order-parameter scaling, susceptibility, and finite-size behavior organize near the synchronization threshold of a one-dimensional lattice of chaotic logistic maps.

The simulation sweeps coupling strength across the transition, measures synchronization observables, and compares several system sizes so that scaling exponents can be estimated rather than inferred from a single lattice. The focus is on whether continuous maps show the same type of criticality as better-understood discontinuous cases.

That makes the project a finite-size critical-phenomena study of a classic nonlinear system. The main value is not just locating the transition, but constraining its exponent structure and thus its likely universality class.

Method: Finite-size sweeps of a 1D diffusive logistic-map lattice across coupling strength, measuring synchronization order parameter and susceptibility.

What is measured: Synchronization order parameter, susceptibility, critical coupling, finite-size scaling curves, and critical-exponent estimates.