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Related Experiment Videos

Dynamical behavior of the multiplicative diffusion coupled map lattices.

Wei Wang1, Hilda A. Cerdeira

  • 1National Laboratory of Solid State Microstructure, Institute of Solid State Physics,Physics Department Nanjing University, Nanjing 210093, People's Republic of ChinaCenter of Advanced Science and Technology in Solid State Physics, Nanjing 210093, People's Republic of ChinaThe International Center for Theoretical Physics, P.O. Box 586, 34100 Trieste, Italy.

Chaos (Woodbury, N.Y.)
|June 1, 1996
PubMed
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This study explores multiplicative diffusion in coupled map lattices, revealing diverse spatiotemporal structures and chaos evolution. Researchers analyzed how coupling strength influences lattice behavior and stability.

Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Coupled map lattices (CMLs) are widely used to model complex spatio-temporal phenomena.
  • Understanding diffusion and pattern formation in CMLs is crucial for various scientific disciplines.
  • The role of bifurcation parameters in coupling CMLs requires further investigation.

Purpose of the Study:

  • To investigate the dynamical behavior of multiplicative diffusion coupled map lattices.
  • To analyze the diffusive process from random to homogeneous states and the stability of homogeneous attractors.
  • To explore the emergence of spatiotemporal structures and the transition to chaos with varying coupling strengths.

Main Methods:

  • Simulations of multiplicative diffusion coupled map lattices.

Related Experiment Videos

  • Analysis of the diffusive process from random to homogeneous states.
  • Characterization of dynamical behavior using the largest Lyapunov exponent and spatial correlation function.

    • Main Results:

    • Observed a diffusive process leading to homogeneous states from initial random distributions.
    • Identified a stable range for the diffusive homogeneous attractor.
    • Found diverse spatiotemporal structures emerging for different coupling strengths.
    • Studied the evolution of the lattice into chaotic behavior.

    Conclusions:

    • The coupling through the bifurcation parameter significantly influences the dynamics of CMLs.
    • Coupling strength dictates the type of spatiotemporal structures and the onset of chaos.
    • Lyapunov exponents and spatial correlation functions effectively characterize the complex dynamics observed.