Results 1 to 10 of about 191 (77)
A trio of heteroclinic bifurcations arising from a model of spatially-extended Rock-Paper-Scissors [PDF]
, 2019 One of the simplest examples of a robust heteroclinic cycle involves three saddle equilibria: each one is unstable to the next in turn, and connections from one to the next occur within invariant subspaces.
Rucklidge, AM, Postlethwaite, CM
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Lyapunov-Schmidt and Centre Manifold reduction methods for nonlocal PDEs modelling animal aggregations [PDF]
, 2016 The goal of this paper is to establish the applicability of the Lyapunov–Schmidt reduction and the Centre Manifold Theorem (CMT) for a class of hyperbolic partial differential equation models with nonlocal interaction terms describing the aggregation ...
Pietro-Luciano Buono +3 more
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Analysis of delayed bifurcations in reaction-diffusion systems
, 2016 We analyze examples of delayed bifurcations in reaction-diffusion systems in both the weakly and fully nonlinear regimes. The delay effect results as the system passes slowly from a stable to unstable regime, and was previously analyzed in ODEs in [P ...
Tzou, Justin
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, 2012 Includes abstract.Includes bibliographical references.In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear ...
Lee-Thorpe, James
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Reduced models for optimal control, shape optimization and inverse problems in haemodynamics
, 2013 ECCOMAS PhD AwardInternational audienceDespite the computer resources nowadays available, it is still difficult - and often impossible - to deal with applications and scenarios involving the repeated solution of PDEs on different data settings (many-query
Manzoni, Andrea
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, 1997 In the present investigation, low-order dynamical models of transitional thermo-fluid systems in complex configurations have been developed. Proper orthogonal decomposition (POD) has been applied to supercritical oscillatory solutions, obtained by ...
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VisualPDE: Rapid Interactive Simulations of Partial Differential Equations. [PDF]
Bull Math Biol, 2023 Walker BJ +3 more
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Symmetry of generic bifurcations in cubic domains
It is now well known that bifurcation problems arising from elliptic PDEs on finite domains may possess translational symmetries, even though translations cannot leave a finite domain invariant.
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From actin waves to mechanism and back: How theory aids biological understanding. [PDF]
Elife, 2023 Beta C +3 more
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Pattern Formation in Mesic Savannas. [PDF]
Bull Math Biol, 2023 Patterson D +3 more
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