Simplification of weakly nonlinear systems and analysis of cardiac activity using them

DOI10.3934/dcdsb.2021191OpenAlexW3183321388MaRDI QIDQ2671204

Irada Dzhalladova, Miroslava Ružičková

Publication date: 3 June 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021191

zbMATH Keywords

normal formvan der Pol equationqualitative propertiesaveragingweakly nonlinear systemcardiac activitydegree equalizationessential and non-essential coefficients

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Further reductions of normal forms for dynamical systems
• New approach of controlling cardiac alternans
• An averaging principle for stochastic fractional differential equations with time-delays
• Mixed stochastic differential equations: averaging principle result
• The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps
• Modelling and simulation for preclinical cardiac safety assessment of drugs with human iPSC-derived cardiomyocytes
• Mathematical analysis of cardiac electromechanics with physiological ionic model
• The averaging method for multivalued SDEs with jumps and non-Lipschitz coefficients
• Canonical transformations depending on a small parameter
• Birkhoff's normalization
• Averaging methods in nonlinear dynamical systems
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