A Computational and Geometric Approach to Phase Resetting Curves and Surfaces

DOI10.1137/080737666zbMath1216.34030OpenAlexW2054589454MaRDI QIDQ3395366

Publication date: 26 August 2009

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/7463

zbMATH Keywords

Lie symmetries isochrons parameterization method biological oscillators phase resetting curves numerical computation of invariant objects biological oscillators parameterization method

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Invariant manifolds for ordinary differential equations (34C45) General biology and biomathematics (92B05) Numerical methods for ordinary differential equations (65L99)

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