Boundedness and unboundedness in polynomial differential systems
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Publication:4751018
DOI10.1016/0362-546X(84)90016-6zbMath0512.34030OpenAlexW1989130242MaRDI QIDQ4751018
Publication date: 1984
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(84)90016-6
idempotentsinvariantsboundednessunboundednesshomogeneous systempolynomial differential systemsnonassociative algebrasnilpotentsnonassociative algebratype numbers
Growth and boundedness of solutions to ordinary differential equations (34C11) General theory of nonassociative rings and algebras (17A01)
Related Items (6)
Projections of polynomial vector fields and the Poincaré sphere ⋮ Escape to infinity in the presence of magnetic fields ⋮ Autonomous polynomial differential systems with finite escape times ⋮ Recursive formulas for transforming ODEs to a polynomial form ⋮ On unbounded polynomial dynamical systems ⋮ Dynamical equivalence and unbounded polynomial differential systems
Cites Work
- Stability properties of autonomous homogeneous polynomial differential systems
- Decay characteristics for differential equations without linear terms
- Subalgebras that are cyclic as submodules
- A theorem on non-associative algebras and its application to differential equations
- Finite dimensional algebras without nilpotents over algebraically closed fields
- The Lorenz equations: bifurcations, chaos, and strange attractors
- Nonassociative, real algebras and quadratic differential equations
- Remark on a Conjecture of Kaplan and Yorke
- Deterministic Nonperiodic Flow
- Growth and Decay Estimates near Non-Elementary Stationary Points
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