The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits
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Publication:697857
DOI10.1006/jdeq.2001.4100zbMath1017.34042OpenAlexW2069922232MaRDI QIDQ697857
H. P. F. Swinnerton-Dyer, Colin Sparrow
Publication date: 17 September 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2001.4100
Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (10)
Distribution of powers of the partition function modulo \(\ell ^j\) ⋮ Congruences for modular forms of weights two and four ⋮ Parity-induced Selmer growth for symplectic, ordinary families ⋮ Some Siegel modular standard \(L\)-values, and Shafarevich-Tate groups ⋮ On the Darboux integrability of Blasius and Falkner-Skan equation ⋮ Symmetric square \(L\)-values and dihedral congruences for cusp forms ⋮ Weight-dependent congruence properties of modular forms ⋮ On the Pitchfork Bifurcation of the Folded Node and Other Unbounded Time-Reversible Connection Problems in $\mathbb R^3$ ⋮ Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations ⋮ Large amplitude oscillations for a class of symmetric polynomial differential systems in R³
Cites Work
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- Oscillating solutions of the Falkner-Skan for positive \(\beta\)
- The role of periodic solutions in the Falkner-Skan problem for \(\lambda >0\)
- Reversible systems
- Use of simple shooting to obtain chaos
- On the periodic solutions of a forced second-order equation
- The Falkner-Skan equation. I: The creation of strange invariant sets
- On a differential equation of boundary-layer theory
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