## Found 763 Documents (Results 1–100)

100
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### Complex WKB method for a system of two linear difference equations. (English. Russian original)Zbl 07491003

St. Petersbg. Math. J. 33, No. 2, 405-425 (2022); translation from Algebra Anal. 33, No. 2, 298-326 (2021).
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### Voros coefficients at the origin and at the infinity of the generalized hypergeometric differential equations with a large parameter. (English)Zbl 07468801

MSC:  33C20 34E20 34M60
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MSC:  82-XX
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### The hypergeometric function, the confluent hypergeometric function and WKB solutions. (English)Zbl 07442181

MSC:  33C05 34M40 34M60
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### Voros coefficients of the Gauss hypergeometric differential equation with a large parameter. (English)Zbl 1483.33003

MSC:  33C05 34M40 34M60
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### Semiclassical asymptotics for a difference Schrödinger equation with two coalescent turning points. (English. Russian original)Zbl 1476.39022

Math. Notes 109, No. 6, 990-994 (2021); translation from Mat. Zametki 109, No. 6, 948-953 (2021).
MSC:  39A45 39A12 34L40
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### Exact WKB analysis and TBA equations for the Mathieu equation. (English)Zbl 1458.34147

MSC:  34M60 81Q20 81T60
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### Entire functions, PT-symmetry and Voros’s quantization scheme. (English)Zbl 1454.34003

MSC:  34A05 34M60 81Q05
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### Asymptotic solutions of inhomogeneous differential equations having a turning point. (English)Zbl 1457.34126

MSC:  34M04 34M30 34M60
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### Connection formulae for asymptotics of the fifth Painlevé transcendent on the imaginary axis. I. (English)Zbl 1470.34237

MSC:  34M55 34M50 34M60
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### Riccati equations revisited: linearization and analytic interpretation of instanton-type solutions. (English)Zbl 07273472

MSC:  34M60 34E20 34M30
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### On the instanton-type expansions for Painlevé transcendents and elliptic functions. (English)Zbl 1444.33013

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 365-377 (2020).
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### A relation between the exact WKB analysis and the topological recursion – in the case of the Gauss hypergeometric differential equation. (English)Zbl 1448.34165

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 259-266 (2020).
MSC:  34M60 81T45 81Q20
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### The relation between the Bessel function and the Borel sum of the WKB solution. (English)Zbl 1444.33003

Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 245-257 (2020).
MSC:  33C10 34M40 34M60
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### Canards existence in the Hindmarsh-Rose model. (English)Zbl 1447.34048

Korobeinikov, Andrei (ed.) et al., Extended abstracts Spring 2018. Singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications. Selected papers based on the presentations of the joint 9th international workshop on MUlti-Rate Processes and HYSteresis and the 4th international workshop on hysteresis and slow-fast systems, MURPHYS-HSFS-2018, Barcelona, Spain, May 29 – June 1, 2018. Cham: Birkhäuser. Trends Math., Res. Perspect. CRM Barc. 11, 169-175 (2019).
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### Voros symbols as cluster coordinates. (English)Zbl 1436.13043

MSC:  13F60 34M60 57M50
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### Riemann-Hilbert problems. (English)Zbl 1443.34097

Borodin, Alexei (ed.) et al., Random matrices. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (IAS). IAS/Park City Math. Ser. 26, 1-40 (2019).
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### Pearcey system re-examined from the viewpoint of $$s$$-virtual turning points and non-hereditary turning points. (English)Zbl 1460.34110

MSC:  34M60 34E20 34M40

### On a non-hereditary turning point of a tangential system of the Pearcey system. (English)Zbl 1480.34117

MSC:  34M60 34M40

### A certain property of a unified family of $$P_{\mathrm{J}}$$-hierarchies (J=I, II, IV, 34) with a large parameter. (English)Zbl 1480.34116

MSC:  34M55 34M40 34M60

### General formal solutions for a unified family of $$P_{\mathrm{J}}$$-hierarchies (J=I, II, IV, 34). (English)Zbl 1435.34092

MSC:  34M25 34M55 34M60
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### Exact WKB analysis of Schrödinger equations with a Stokes curve of loop type. (English)Zbl 1435.34090

MSC:  34M25 34M40 34M60
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### Spectral deformation in a problem of singular perturbation theory. (English. Russian original)Zbl 1417.81133

Dokl. Math. 99, No. 1, 60-63 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 4, 397-400 (2019).
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### On the Stokes geometry of a unified family of $$P_{\mathrm{J}}$$-hierarchies (J=I, II, IV, 34). (English)Zbl 1422.34254

MSC:  34M60 34M55
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### The uniqueness theorem for the solutions of dual equations of Sturm-Liouville problems with singular points and turning points. (English)Zbl 1412.34104

MSC:  34B24 34B27
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### Quantization of spectral curves for meromorphic Higgs bundles through topological recursion. (English)Zbl 1452.14031

Liu, Chiu-Chu Melissa (ed.) et al., Topological recursion and its influence in analysis, geometry, and topology. 2016 AMS von Neumann symposium on topological recursion and its influence in analysis, geometry, and topology, Charlotte, NC, USA, July 4–8, 2016. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 100, 179-229 (2018).
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### Movable poles of Painlevé I transcendents and singularities of monodromy data manifolds. (English)Zbl 1427.34118

Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 24-37 (2018).
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### Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points. (English)Zbl 1427.65153

MSC:  65M06 65M12 35B25
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### The Borel transform of canard values and its singularities. (English)Zbl 1404.34109

Filipuk, Galina (ed.) et al., Formal and analytic solutions of diff. equations, FASdiff, Alcalá de Henares, Spain, September 4–8, 2017. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-99147-4/hbk; 978-3-319-99148-1/ebook). Springer Proceedings in Mathematics & Statistics 256, 149-175 (2018).
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### Lectures on the topological recursion for Higgs bundles and quantum curves. (English)Zbl 1401.14001

Wentworth, Richard (ed.) et al., The geometry, topology and physics of moduli spaces of Higgs bundles. Based on minicourses from the program on “The geometry, topology and physics of moduli spaces of Higgs bundles”, IMS, Singapore, July 7 – August 29, 2014. Hackensack, NJ: World Scientific (ISBN 978-981-3229-08-2/hbk; 978-981-3229-10-5/ebook). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 36, 103-198 (2018).
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### Forecasting US interest rates and business cycle with a nonlinear regime switching VAR model. (English)Zbl 1397.62430

MSC:  62P05 62M02 62M10
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### An invitation to 2D TQFT and quantization of Hitchin spectral curves. (English)Zbl 1428.14046

Carqueville, Nils (ed.) et al., Advanced school on topological quantum field theory. Selected papers based on the presentations at the advanced school, University of Warsaw, Warsaw, Poland, December 7–9, 2015. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 114, 85-144 (2018).
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### Painlevé equations, topological type property and reconstruction by the topological recursion. (English)Zbl 1391.34140

MSC:  34M55 34M56 34M60
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### The regularized trace formula of the spectrum of a Sturm-Liouville problem with turning point. (English)Zbl 1463.34353

MSC:  34L20 34B24
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### On Stokes phenomena for the alternate discrete PI equation. (English)Zbl 1404.34108

Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Bȩdlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-52841-0/hbk; 978-3-319-52842-7/ebook). Trends in Mathematics, 369-381 (2017).
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### WKB analysis and Stokes geometry of differential equations. (English)Zbl 1404.34110

Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Bȩdlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-52841-0/hbk; 978-3-319-52842-7/ebook). Trends in Mathematics, 263-304 (2017).
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### Signal extraction for nonstationary time series with diverse sampling rules. (English)Zbl 06835925

MSC:  62M10 62M15 62M20
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### Corner layer phenomenon for singularly perturbed problems with turning points. (Chinese. English summary)Zbl 1389.34181

MSC:  34E20 34B05 34E05
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### A simple and fast representation space for classifying complex time series. (English)Zbl 1371.37136

MSC:  37M10 62P05
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### Relation between the hypergeometric function and WKB solutions. (English)Zbl 1370.33006

MSC:  33C05 34M60 34M40

### The phase-integral method in a problem of singular perturbation theory. (English. Russian original)Zbl 1367.34106

Izv. Math. 81, No. 2, 359-390 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 129-160 (2017).
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MSC:  62M10
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### Slow-fast dynamics of Hopfield spruce-budworm model with memory effects. (English)Zbl 1419.34238

MSC:  34M60 34C26
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### Exact WKB analysis, cluster algebras and Fock-Goncharov coordinates. (English)Zbl 1360.34183

MSC:  34M60 13F60

### On the redundant and non-redundant virtual turning points for the AKT equation. (English)Zbl 1372.34139

MSC:  34M60 34E20

### On the singularity structure of WKB solution of the boosted Whittaker equation: its relevance to resurgent functions with essential singularities. (English)Zbl 1372.34140

MSC:  34M60 34M30 34M40
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### Parametric Stokes phenomena of the Gauss hypergeometric differential equation with a large parameter. (English)Zbl 1388.34078

MSC:  34M40 33C05 34M60
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### A bifurcation phenomenon of Stokes curves around a double turning point, and influence of virtual turning points upon the transition probabilities for three-level systems. (English)Zbl 1358.34099

MSC:  34M40 34M60 34M25
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### Averaging and spectral properties for the 2D advection-diffusion equation in the semi-classical limit for vanishing diffusivity. (English)Zbl 1364.35211

MSC:  35P05 34M60
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### Asymptotic formula for quantum harmonic oscillator tunneling probabilities. (English)Zbl 1334.81034

MSC:  81Q05 81Q10 81S05
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### Rigorous asymptotics for the Lamé and Mathieu functions and their respective eigenvalues with a large parameter. (English)Zbl 1331.33042

MSC:  33E10 34E05
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### Phase integral method in the problem of quasiclassical localization of spectra. (English. Russian original)Zbl 1325.34104

Dokl. Math. 91, No. 3, 318-322 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 3, 283-287 (2015).
MSC:  34M60 34M03 34B05
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### Uniform simplification in a full neighborhood of a turning point. (Simplification uniforme au voisinage d’un point tournant.) (English. French summary)Zbl 1326.34137

MSC:  34M60 34M25 34M30
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### Alien derivatives of the WKB solutions of the Gauss hypergeometric differential equation with a large parameter. (English)Zbl 1326.34138

MSC:  34M60 33C05 34M40
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### Virtual turning points. (English)Zbl 1354.34003

SpringerBriefs in Mathematical Physics 4. Tokyo: Springer (ISBN 978-4-431-55701-2/pbk; 978-4-431-55702-9/ebook). xii, 126 p. (2015).
Reviewer: Takashi Aoki
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### Tronquée solutions of the Painlevé equation PI. (English)Zbl 1327.34147

MSC:  34M55 34M40 34M60
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### High-frequency stability of detonations and turning points at infinity. (English)Zbl 1321.80004

MSC:  80A25 34E20 76N15
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