Nonlinear reaction-diffusion models of self-organization and deterministic chaos: theory and possible applications to description of electrical cardiac activity and cardiovascular circulation
From MaRDI portal
Publication:871372
DOI10.1155/DDNS/2006/98959zbMath1106.92035MaRDI QIDQ871372
Y. Okrent, T. Kardashov, Victor Kardashov, Shmuel Einav
Publication date: 19 March 2007
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/126959
Reaction-diffusion equations (35K57) Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55) Medical applications (general) (92C50)
Related Items
On the nonlinear perturbation \(K(n, m)\) Rosenau-Hyman equation: a model of nonlinear scattering wave ⋮ Dissipative perturbations for the \(K(n, n)\) Rosenau-Hyman equation ⋮ Self-similar radiation from numerical Rosenau-Hyman compactons
Cites Work
- A structural approach to control of transitional waves of nonlinear diffusion-reaction systems: theory and possible applications to bio-medicine
- The transition to aperiodic behavior in turbulent systems
- Self-organization of the heartbeat as coordination among ventricular myocardial cells through mechano-electrical feedback
- Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems
- Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons
- Self-organization and the dynamical nature of ventricular fibrillation
- Compactons: Solitons with finite wavelength
