scholarly journals Exactly Solvable Phase Oscillator Models with Synchronization Dynamics

1998 ◽  
Vol 81 (17) ◽  
pp. 3643-3646 ◽  
Author(s):  
L. L. Bonilla ◽  
C. J. Pérez Vicente ◽  
F. Ritort ◽  
J. Soler
Keyword(s):  
Phase Oscillator ◽  
Exactly Solvable ◽  
Oscillator Models

scholarly journals Interlayer connectivity reconstruction for multilayer brain networks using phase oscillator models

2021 ◽  
Author(s):  
Prejaas K Tewarie ◽  
Bastian Prasse ◽  
Jil M. Meier ◽  
Áine Byrne ◽  
Manlio De Domenico ◽  
...  
Keyword(s):  
Brain Networks ◽  
Phase Oscillator ◽  
Oscillator Models

scholarly journals On the Direct Limit from Pseudo Jacobi Polynomials to Hermite Polynomials

Mathematics ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 88
Author(s):  
Elchin I. Jafarov ◽  
Aygun M. Mammadova ◽  
Joris Van der Jeugt
Keyword(s):  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Short Communication ◽  
Jacobi Polynomials ◽  
Direct Limit ◽  
Hermite Polynomials ◽  
Limit Relation ◽  
Exactly Solvable ◽  
Transformation Formulas ◽  
Oscillator Models

In this short communication, we present a new limit relation that reduces pseudo-Jacobi polynomials directly to Hermite polynomials. The proof of this limit relation is based upon 2F1-type hypergeometric transformation formulas, which are applicable to even and odd polynomials separately. This limit opens the way to studying new exactly solvable harmonic oscillator models in quantum mechanics in terms of pseudo-Jacobi polynomials.

On the derivation and tuning of phase oscillator models for lamprey central pattern generators

2008 ◽  
Vol 25 (2) ◽  
pp. 245-261 ◽  
Author(s):  
Péter L. Várkonyi ◽  
Tim Kiemel ◽  
Kathleen Hoffman ◽  
Avis H. Cohen ◽  
Philip Holmes
Keyword(s):  
Central Pattern Generators ◽  
Phase Oscillator ◽  
Pattern Generators ◽  
Oscillator Models

Exactly Solvable Chaos as Communication Waveforms

2014 ◽  
Vol 2 ◽  
pp. 217-220 ◽  
Author(s):  
Ned J. Corron ◽  
Jonathan N. Blakely
Keyword(s):  
Exactly Solvable
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