Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L. Some elements for a history of the dynamical systems theory. (English) Zbl 1462.37002 Chaos 31, No. 5, 053110, 20 p. (2021). MSC: 37-03 37D45 01A60 PDFBibTeX XMLCite \textit{C. Letellier} et al., Chaos 31, No. 5, 053110, 20 p. (2021; Zbl 1462.37002) Full Text: DOI HAL
Holmes, Philip Ninety plus thirty years of nonlinear dynamics: less is more and more is different. (English) Zbl 1092.37500 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 2703-2716 (2005). MSC: 37-03 01A55 01A60 PDFBibTeX XMLCite \textit{P. Holmes}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 2703--2716 (2005; Zbl 1092.37500) Full Text: DOI
Goodman, Roy H.; Holmes, Philip J.; Weinstein, Michael I. Strong NLS soliton-defect interactions. (English) Zbl 1061.35132 Physica D 192, No. 3-4, 215-248 (2004). MSC: 35Q55 37K40 37K05 PDFBibTeX XMLCite \textit{R. H. Goodman} et al., Physica D 192, No. 3--4, 215--248 (2004; Zbl 1061.35132) Full Text: DOI arXiv
Holmes, Philip; Jenkins, Jeffrey; Leonard, Naomi Ehrich Dynamics of the Kirchhoff equations. I: Coincident centers of gravity and buoyancy. (English) Zbl 1194.70009 Physica D 118, No. 3-4, 311-342 (1998). MSC: 70E15 34C37 34D20 37N10 70K20 PDFBibTeX XMLCite \textit{P. Holmes} et al., Physica D 118, No. 3--4, 311--342 (1998; Zbl 1194.70009) Full Text: DOI
Wittenberg, Ralf W.; Holmes, Philip The limited effectiveness of normal forms: A critical review and extension of local bifurcation studies of the Brusselator PDE. (English) Zbl 0893.34027 Physica D 100, No. 1-4, 1-40 (1997). MSC: 34C20 34C23 34C25 34C37 PDFBibTeX XMLCite \textit{R. W. Wittenberg} and \textit{P. Holmes}, Physica D 100, No. 1--4, 1--40 (1997; Zbl 0893.34027) Full Text: DOI
Duan, Jinqiao; Holmes, Philip Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation. (English) Zbl 0820.58053 Proc. Edinb. Math. Soc., II. Ser. 38, No. 1, 77-97 (1995). Reviewer: P.Holmes (Princeton) MSC: 34C27 35Q55 34C37 37-XX PDFBibTeX XMLCite \textit{J. Duan} and \textit{P. Holmes}, Proc. Edinb. Math. Soc., II. Ser. 38, No. 1, 77--97 (1995; Zbl 0820.58053) Full Text: DOI
Domokos, G.; Holmes, P. Euler’s problem, Euler’s method, and the standard map; or, the discrete charm of buckling. (English) Zbl 0797.34041 J. Nonlinear Sci. 3, No. 1, 109-151 (1993); erratum 3, No. 2, 267 (1993). Reviewer: B.Werner (Hamburg) MSC: 34C23 37-XX PDFBibTeX XMLCite \textit{G. Domokos} and \textit{P. Holmes}, J. Nonlinear Sci. 3, No. 1, 109--151 (1993; Zbl 0797.34041) Full Text: DOI
Zombro, Brett; Holmes, Philip Reduction, stability, instability and bifurcation in rotationally symmetric Hamiltonian systems. (English) Zbl 0782.70015 Dyn. Stab. Syst. 8, No. 1, 41-71 (1993). MSC: 70H05 37C75 37G99 37J99 PDFBibTeX XMLCite \textit{B. Zombro} and \textit{P. Holmes}, Dyn. Stab. Syst. 8, No. 1, 41--71 (1993; Zbl 0782.70015) Full Text: DOI
Campbell, Sue Ann; Holmes, Philip Heteroclinic cycles and modulated travelling waves in a system with \(D_ 4\) symmetry. (English) Zbl 0774.34031 Physica D 59, No. 1-3, 52-78 (1992). MSC: 34C37 34C23 34C25 34C27 PDFBibTeX XMLCite \textit{S. A. Campbell} and \textit{P. Holmes}, Physica D 59, No. 1--3, 52--78 (1992; Zbl 0774.34031) Full Text: DOI
Holmes, Philip Knotted periodic orbits in suspensions of Smale’s horseshoe: period multiplying and cabled knots. (English) Zbl 0623.58014 Physica D 21, 7-41 (1986). MSC: 37G99 37J40 PDFBibTeX XMLCite \textit{P. Holmes}, Physica D 21, 7--41 (1986; Zbl 0623.58014) Full Text: DOI
Veerman, Peter; Holmes, Philip Resonance bands in a two degree of freedom Hamiltonian system. (English) Zbl 0596.70026 Physica D 20, 413-422 (1986). Reviewer: H.Rüßmann MSC: 70K50 37J40 PDFBibTeX XMLCite \textit{P. Veerman} and \textit{P. Holmes}, Physica D 20, 413--422 (1986; Zbl 0596.70026) Full Text: DOI
Veerman, Peter; Holmes, Philip The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system. (English) Zbl 0595.58036 Physica D 14, No. 2-3, 177-192 (1985). MSC: 37G99 PDFBibTeX XMLCite \textit{P. Veerman} and \textit{P. Holmes}, Physica D 14, No. 2--3, 177--192 (1985; Zbl 0595.58036) Full Text: DOI
Holmes, Philip; Williams, R. F. Knotted periodic orbits in suspensions of Smale’s horseshoe: torus knots and bifurcation sequences. (English) Zbl 0593.58027 Arch. Ration. Mech. Anal. 90, 115-194 (1985). Reviewer: G.Ikegami MSC: 37G99 PDFBibTeX XMLCite \textit{P. Holmes} and \textit{R. F. Williams}, Arch. Ration. Mech. Anal. 90, 115--194 (1985; Zbl 0593.58027) Full Text: DOI
Holmes, Philip Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case. (English) Zbl 1194.37128 Physica D 5, No. 2-3, 335-347 (1982). MSC: 37K99 70H05 PDFBibTeX XMLCite \textit{P. Holmes}, Physica D 5, No. 2--3, 335--347 (1982; Zbl 1194.37128) Full Text: DOI
Holmes, Philip J.; Marsden, Jerrold E. Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems. (English) Zbl 0497.70025 J. Math. Phys. 23, 669-675 (1982). MSC: 70H05 37J35 37K10 PDFBibTeX XMLCite \textit{P. J. Holmes} and \textit{J. E. Marsden}, J. Math. Phys. 23, 669--675 (1982; Zbl 0497.70025) Full Text: DOI Link
Holmes, Philip J. Center manifolds, normal forms and bifurcations of vector fields with application to coupling between periodic and steady motions. (English) Zbl 1194.37075 Physica D 2, No. 3, 449-481 (1981). MSC: 37G10 PDFBibTeX XMLCite \textit{P. J. Holmes}, Physica D 2, No. 3, 449--481 (1981; Zbl 1194.37075) Full Text: DOI
Holmes, Philip; Marsden, Jerrold A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam. (English) Zbl 0507.58031 Arch. Ration. Mech. Anal. 76, 135-165 (1981). MSC: 37D45 35B10 37G99 35B05 PDFBibTeX XMLCite \textit{P. Holmes} and \textit{J. Marsden}, Arch. Ration. Mech. Anal. 76, 135--165 (1981; Zbl 0507.58031) Full Text: DOI
Holmes, Philip J. A strange family of three-dimensional vector fields near a degenerate singularity. (English) Zbl 0421.58016 J. Differ. Equations 37, 382-403 (1980). MSC: 37D45 37G99 PDFBibTeX XMLCite \textit{P. J. Holmes}, J. Differ. Equations 37, 382--403 (1980; Zbl 0421.58016) Full Text: DOI
Holmes, Philip; Marsden, Jerrold Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis. (English) Zbl 0385.93028 Automatica 14, 367-384 (1978). MSC: 93C20 93C10 35B32 35B05 37G99 PDFBibTeX XMLCite \textit{P. Holmes} and \textit{J. Marsden}, Automatica 14, 367--384 (1978; Zbl 0385.93028) Full Text: DOI