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Synchronization in bus systems with partially overlapping routes.

Sakurako Tanida1,2, Thorsten Pöschel2

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Transportation systems show synchronized movement between local and global buses, but only with specific numbers of zones. This emergent behavior depends on the system

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Area of Science:

  • Transportation science
  • Complex systems
  • Network dynamics

Background:

  • Understanding emergent phenomena in complex transportation networks is vital for efficiency.
  • Interactions between transportation modes increase with system density, leading to complex dynamics.
  • Simple models often fail to capture these emergent behaviors.

Purpose of the Study:

  • To investigate the synchronized motion of indirectly coupled transportation modes.
  • To explore the conditions under which coherent behavior emerges in a simulated bus system.
  • To identify the role of system structure in emergent transportation dynamics.

Main Methods:

  • Developed a numerical simulation model on a 1D periodic lattice representing bus stations.
  • Modeled two bus types: local buses serving specific zones and a global bus with overlapping routes.
  • Performed simulations to analyze bus arrival time synchronization and developed a mathematical model with stability analysis.

Main Results:

  • Robust synchronization observed between global and local buses, and among local buses, specifically for two, three, or five zones.
  • No synchronization occurred for other numbers of zones.
  • Mathematical model and stability analysis identified two distinct arrival patterns, explaining simulation outcomes.

Conclusions:

  • Transportation modes can exhibit synchronized motion even with partial or no direct route overlap.
  • Emergent behavior is influenced by local interactions and the overall structural configuration of the system.
  • System structure plays a critical role in shaping coherent motion in transportation networks.