Peter W. Bates

Computational Theory and Mathematics · 2000–2015

A researcher in the Science corpus: 12 papers; trusts 12 researchers and is trusted by 28 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 45 citations into it; #1,767 of 12,182 by trust here, #1,269 by citations
• Control and Systems Engineering — 43 citations into it; #1,435 of 8,257 by trust here, #536 by citations
• Applied Mathematics — 22 citations into it; #1,353 of 7,620 by trust here, #1,177 by citations
• Computer Networks and Communications — 19 citations into it; #1,925 of 9,886 by trust here, #1,023 by citations
• Mathematical Physics — 18 citations into it; #3,483 of 8,562 by trust here, #1,130 by citations
• Finance — 5 citations into it

Whom Peter W. Bates trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Bixiang Wang
2. Tomás Caraballo
3. J. Ball
4. L. Arnold
5. José A. Langa
6. Xiaoying Han
7. James C. Robinson
8. M. Scheutzow
9. Igor D. Chueshov
10. María J. Garrido-Atienza

Who trusts Peter W. Bates overall

1. Bixiang Wang
2. Carmen Cortázar
3. Ciprian G. Gal
4. Wenxian Shen
5. Manuel Elgueta
6. Shengfan Zhou
7. Anhui Gu
8. Xiaohu Wang
9. Kening Lu
10. Maurizio Grasselli

Papers from Peter W. Bates's perspective

Ordered by how strongly the researchers Peter W. Bates trusts endorse each paper. Same corpus, a different order for every researcher.

1. Random Dynamical Systems
2. GLOBAL ATTRACTORS FOR DAMPED SEMILINEAR WAVE EQUATIONS
3. Stability and random attractors for a reaction-diffusion equation with multiplicative noise
4. The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction–diffusion equations☆
5. Attractors for reaction-diffusion equations in R N with continuous nonlinearity
6. A stochastic pitchfork bifurcation in a reaction-diffusion equation (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
7. Upper semicontinuity of random attractors for non-compact random dynamical systems.
8. Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors
9. Non--autonomous and random attractors for delay random semilinear equations without uniqueness
10. Sufficient and Necessary Criteria for Existence of Pullback Attractors for Non-compact Random Dynamical Systems

Their papers

• Random attractors for stochastic reaction–diffusion equations on unbounded domains (2009) — 404 citations
• Attractors of non-autonomous stochastic lattice systems in weighted spaces (2014) — 178 citations
• The Dirichlet boundary problem for a nonlocal Cahn–Hilliard equation (2005) — 86 citations
• The Neumann boundary problem for a nonlocal Cahn–Hilliard equation (2005) — 140 citations
• Existence and instability of spike layer solutions to singular perturbation problems (2002) — 86 citations
• Asymptotic behavior of stochastic fractional power dissipative equations on Rn (2015) — 62 citations
• Approximately invariant manifolds and global dynamics of spike states (2008) — 98 citations
• Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal (2007) — 219 citations
• ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS (2006) — 281 citations
• Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen-Cahn equation (2002) — 48 citations
• Encyclopaedia of Mathematics, Supplement III (2002) — 57 citations
• Invariant foliations near normally hyperbolic invariant manifolds for semiflows (2000) — 91 citations