This chapter focuses on the qualitative properties of solutions to scalar dissipative Caputo fractional differential equations. The existence of attractors is demonstrated and the heteroclinic trajectories are analyzed in detail. A bifurcation diagram for simple scalar equations and triangular systems is presented.

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Attractors of Scalar Caputo FDEs

  • Thai Son Doan,
  • Peter E. Kloeden,
  • Hoang The Tuan

摘要

This chapter focuses on the qualitative properties of solutions to scalar dissipative Caputo fractional differential equations. The existence of attractors is demonstrated and the heteroclinic trajectories are analyzed in detail. A bifurcation diagram for simple scalar equations and triangular systems is presented.