Stokes matrices of a reducible double confluent Heun equation via monodromy matrices of a reducible general Heun equation with symmetric finite singularities
DOI10.1007/s10883-021-09571-0zbMath1491.34098OpenAlexW3197153568MaRDI QIDQ2070356
Publication date: 24 January 2022
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-021-09571-0
limitunfoldingirregular singularityregular singularityStokes phenomenonmonodromy matrices1-summabilityreducible general Heun and double confluent Heun equations
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Linear ordinary differential equations and systems in the complex domain (34M03)
Cites Work
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- Confluence of singularities of nonlinear differential equations via Borel-Laplace transformations
- Divergent series, summability and resurgence II. Simple and multiple summability
- Zero level perturbation of a certain third-order linear solvable ODE with an irregular singularity at the origin of Poincaré rank 1
- Divergent series, summability and resurgence I. Monodromy and resurgence
- The Stokes phenomenon in the confluence of the hypergeometric equation using Riccati equation
- On the solutions of double confluent Heun equations
- Stokes phenomenon and confluence in non-autonomous Hamiltonian systems
- Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients
- Heun functions and some of their applications in physics
- On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect
- A Riemann-Hilbert approach to the Heun equation
- Resonant confluence of singular points and Stokes phenomena
- Stokes operators via limit monodromy of generic perturbation
- Solution space monodromy of a special double confluent Heun equation and its applications
- On the derivatives of the Heun functions
- Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction
- Appell hypergeometric expansions of the solutions of the general Heun equation
- On determinants of modified Bessel functions and entire solutions of double confluent Heun equations
- Complete system of analytic invariants for unfolded differential linear systems with an irregular singularity of Poincar\'e rank 1
- Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation
- Solutions for confluent and double-confluent Heun equations
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