J. S. W. Lamb

On the zero set of G-equivariant maps (2008)

Buono, P-L., Helmer, M., Lamb, J. S. W.

Let $G$ be a finite group acting on vector spaces $V$ and $W$ and consider a smooth $G$-equivariant mapping $f:V\to W$. This paper addresses the question of the zero set near a zero $x$ of $f$ with...

Bifurcation and branching of equilibria in reversible equivariant vector fields (2008)

Buono, P-L, Lamb, J S W, Roberts, R M

Saddle-nodes and period-doublings of Smale horseshoes: A case study near resonant homoclinic bellows (2008)

Homburg, A.J., Jukes, A.C., Knobloch, J., Lamb, J.S.W.

In unfoldings of resonant homoclinic bellows interesting bifurcation phenomena occur: two suspensed Smale horseshoes can collide and disappear in saddle-node bifurcations (all periodic orbits...

Normal form theory for relative equilibria and relative periodic solutions (2007)

Lamb, J. S.W., Melbourne, Ian

We show that in the neighbourhood of relative equilibria and relative periodic solutions, coordinates can be chosen so that the equations of motion, in normal form, admit certain additional...

Symmetric homoclinic tangles in reversible systems (2006)

Homburg, A.J., Lamb, J.S.W.

We study the dynamics near transverse intersections of stable and unstable manifolds of sheets of symmetric periodic orbits in reversible systems. We prove that the dynamics near such homoclinic and...

Bifurcation from periodic solutions with spatiotemporal symmetry, including resonances and mode interactions (2002)

Lamb, J. S. W., Melbourne, I., Wulff, C.

We study local bifurcation in equivariant dynamical systems from periodic solutions with a mixture of spatial and spatiotemporal symmetries. In previous work, we focused primarily on codimension one...

Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two (2002)

Hoveijn, I., Lamb, J. S. W., Roberts, R. M.

In this article we classify normal forms and unfoldings of linear maps in eigenspaces of (anti)-automorphisms of order two. Our main motivation is provided by applications to linear systems of...

Normal Forms and Unfoldings of Linear Systems in Eigenspaces of (Anti)-Automorphisms of Order Two (2002)

Hoveijn, I., Lamb, J. S. W., Roberts, R. M.

In this article we classify normal forms and unfoldings of linear maps in eigenspaces of (anti)-automorphisms of order two. Our main motivation is provided by applications to linear systems of...

Local bifurcations on the plane with reversing point group symmetry (1995)

Lamb, J.S.W., Capel, H.W.

Periodic orbits in k-symmetric dynamical systems (1995)

Lamb, J.S.W., Brands, H., Hoveijn, I.

Reversing Symmetries in Dynamical Systems (1994)

Lamb, J.S.W.

Symmetries and reversing symmetries in kicked systems (1994)

Lamb, J.S.W., Brands, H.

Dynamics and k-symmetries (1994)

Quispel, G.R.W., Lamb, J.S.W.

Stochastic webs with fourfold rotation symmetry (1994)

Lamb, J.S.W.

A natural class of generalized Fibonacci chains (1994)

Wen, Z.-Y., Wijnands, F., Lamb, J.S.W.

Reversing k-symmetries in dynamical systems (1994)

Lamb, J.S.W., Quispel, G.R.W.