Mathematics MOC

Dynamics MOC

Key concepts

• Differential system
• Phase space
• Trajectory
• Fixed point, centre
• Equivalence of flows, Fundamental theorem of flows
• Bifurcation
• Periodic solution, Quasiperiodic motion
• Basin of attraction
• - and -limit sets

Differential systems

• Existence and uniqueness of flows
• Continuity of flows
• Fundamental theorem of flows
• Hartman-Grobman theorem

Examples

Two dimensions

• Competition
  • Lotka-Volterra model of competition

See also

• Differential equations MOC

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