Recurrence plots of dynamical systems¶
Eckmann, J. -., Kamphorst, & Ruelle, D. (1987). Recurrence plots of dynamical systems. Europhysics Letters, 4(9), 973-977.
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Primes¶
- Recurrence
- A recurrence is distinguished from a mere repetition by the presence of structural echoes—each occurrence shares measurable dependencies or features with prior occurrences—and from periodicity by relaxing the requirement for fixed, regular intervals, an operational distinction Eckmann, Kamphorst, and Ruelle (1987) make precise in their formalization of recurrence plots.
This sourceFoundational paper introducing recurrence plots: formalizes recurrence as state-space proximity rather than fixed-period repetition, distinguishing it operationally from strict periodicity.
- A recurrence is distinguished from a mere repetition by the presence of structural echoes—each occurrence shares measurable dependencies or features with prior occurrences—and from periodicity by relaxing the requirement for fixed, regular intervals, an operational distinction Eckmann, Kamphorst, and Ruelle (1987) make precise in their formalization of recurrence plots.
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