Periodic solutions in systems of piecewise- linear differential equations
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Publication:4851034
DOI10.1080/02681119508806202zbMath0833.34027OpenAlexW2041339361MaRDI QIDQ4851034
Erik Plahte, Thomas Mestl, Stig W. Omholt
Publication date: 22 October 1995
Published in: Dynamics and Stability of Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02681119508806202
stabilityexistenceuniquenesslimit cyclesmathematical modelbasins of attractioncell biologyneurologyperiodic behaviour of regulatory systems
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Asymptotic properties of solutions to ordinary differential equations (34D05)
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Cites Work
- Logical identification of all steady states: The concept of feedback loop characteristic states
- Stable oscillations in mathematical models of biological control systems
- Qualitative dynamics of piecewise-linear differential equations: a discrete mapping approach
- STEADY STATES, LIMIT CYCLES, AND CHAOS IN MODELS OF COMPLEX BIOLOGICAL NETWORKS
- Global analysis of steady points for systems of differential equations with sigmoid interactions
- A logical calculus of the ideas immanent in nervous activity
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