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Singular Perturbation Theory

Singular Perturbation Theory. Initial Value Problem I Multi-scale Technique Adiabatic Invariance Initial Value Problem II Boundary Layer equation Boundary Value Problem Van Dyke Matching Principle Relaxation Dynamics. Initial Value Problem I. Two-Scale Technique. Adiabatic Invariance.

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Singular Perturbation Theory

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  1. Singular Perturbation Theory • Initial Value Problem I • Multi-scale Technique • Adiabatic Invariance • Initial Value Problem II • Boundary Layer equation • Boundary Value Problem • Van Dyke Matching Principle • Relaxation Dynamics

  2. Initial Value Problem I

  3. Two-Scale Technique

  4. Adiabatic Invariance

  5. Initial Value Problem II

  6. Boundary Value Problem

  7. Van Dyke Matching Principle

  8. FitzHugh-Nagumo System

  9. Stochastic Resonance Ref: J. J. Collins, et al., “Stochastic resonance without tuning,” Nature, vol.376, pp.236-238, July 1995 C. Heneghan, et al., “Information measures quantifying aperiodic stochastic resonance,” Phys. Rev. E., vol.54, pp.2228-2231, 1996 S. Mitaim & B. Kosko, “Adaptive stochastic resonance,” Proc. IEEE, vol.86, pp. 2152-2183, Nov. 1998.

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