SPACE OF INITIAL VALUES OF A MAP WITH A QUARTIC INVARIANT
DOI10.1017/S0004972720000751zbMath1464.14019arXiv2002.10089OpenAlexW3092108867MaRDI QIDQ4989448
Nalini Joshi, Giorgio Gubbiotti
Publication date: 25 May 2021
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.10089
Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Additive difference equations (39A10) Relationships between algebraic curves and integrable systems (14H70) Rational and birational maps (14E05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Cites Work
- Unnamed Item
- On integrability of Hirota-Kimura type discretizations
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- Algebraic entropy
- Integrable mappings and soliton equations
- Integrable mappings and soliton equations. II
- Discretization of the Lagrange Top
- Dynamics of bimeromorphic maps of surfaces
- Algebraic entropy and the space of initial values for discrete dynamical systems
- Discrete Systems and Integrability
- Integrability properties of Kahanʼs method
- Geometric aspects of Painlevé equations
- The space of initial conditions for linearizable mappings
- Integrable mappings via rational elliptic surfaces
- Symmetric monopoles
- A systematic approach to reductions of type-Q ABS equations
- Discrete Painlevé Equations
- Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation
- Super-QRT and 4D-mappings reduced from the lattice super-KdV equation
- New classes of quadratic vector fields admitting integral-preserving Kahan–Hirota–Kimura discretizations
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