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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Real-world self-propelling objects rarely move in perfect straight lines.
  • Motion is often characterized by bent or circular trajectories due to inherent imperfections.

Purpose of the Study:

  • To investigate the dynamics of actively driven objects with discrete movement and angular adjustments.
  • To analyze the emergence of nonlinear dynamics, including chaotic behavior, in such systems.
  • To explore collective motion and spatial self-concentration effects.

Main Methods:

  • Modeling discrete-step motion with angular adjustments.
  • Analyzing nonlinear dynamics, period doubling, and chaotic behavior.
  • Investigating collective motion and spatial self-concentration phenomena.

Main Results:

  • Nonlinear dynamics, including period doubling and chaos, are prevalent across a broad parameter range.
  • Object trajectories deviate significantly from straight lines, exhibiting complex patterns.
  • Collective motion and self-concentration effects are observed.

Conclusions:

  • Actively driven objects display complex, nonlinear dynamics due to angular adjustments and imperfections.
  • Chaotic behavior significantly influences trajectory appearance and system dynamics.
  • Understanding these dynamics is crucial for predicting collective motion and self-organization.