Local and global dynamic bifurcations of nonlinear evolution equations

DOI10.1512/iumj.2018.67.7292zbMath1474.37096arXiv1612.08128OpenAlexW2962676655WikidataQ129912434 ScholiaQ129912434MaRDI QIDQ4962376

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Publication date: 2 November 2018

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08128

zbMATH Keywords

evolution equationinvariant-set bifurcationglobal dynamical bifurcation

Mathematics Subject Classification ID

Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (8)

Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems ⋮ Global martingale and pathwise solutions and infinite regularity of invariant measures for a stochastic modified Swift–Hohenberg equation ⋮ Attractor bifurcation for positive solutions of evolution equations ⋮ Bifurcation from infinity and multiplicity results for an elliptic system from biology ⋮ Bifurcation from infinity of the Schrödinger equation via invariant manifolds ⋮ Global dynamic bifurcation of local semiflows and nonlinear evolution equations ⋮ A note on multiplicity of solutions near resonance of semilinear elliptic equations ⋮ Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise

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