Recent Trends in Dynamical Systems

Part I Stability, Bifurcation & Perturbations.- 1 The Birth of Chaos.- 2 Periodic orbits close to grazing for an impact oscillator.- 3 Branches of Periodic Orbits in Reversible Systems.- 4 Canard explosion and position curves.- 5 Bifurcation for Non-smooth Dynamical Systems via Reduction Methods.- 6 Homoclinic flip bifurcations in conservative reversible systems.- 7 Local Lyapunov Functions for periodic and finite-time ODEs.- 8 Quasi-steady state: Searching for and utilizing small parameters.- 9 On a Global Uniform Pullback Attractor of a Class of PDEs with Degenerate Diffusion and Chemotaxis in One Dimension.- 10 A Guided Sequential Monte Carlo Method for the Assimilation of Data Into Stochastic Dynamical Systems.- 11 Deterministic & Stochastic Dynamics of Chronic Myelogenous Leukaemia Stem Cells Subject to Hill-Function-Like Signaling.- Part II Hamiltonian Dynamics, Geometric Mechanics & Control Theory.- 12 Singular Solutions of Euler-Poincar'e Equations on Manifolds with Symmetry.- 13 On the destruction of resonant Lagrangean tori in Hamiltonian systems.- 14 Deformation of Geometry and Bifurcations of Vortex Rings.- 15 Gradient flows in the normal and Kahler metrics and triple bracket generated metriplectic systems.- 16 Boundary tracking and obstacle avoidance using gyroscopic control.- 17 Random Hill's Equations, Random Walks, and Products of Random Matrices.- Part III Continuum Mechanics: Solids, Fluids and other Materials.- 18 The three dimensional globally modified Navier-Stokes equations: Recent developments.- 19 Simulation of Hard Contacts with Friction: An Iterative Projection Method.- 20 Dynamics of second grade fluids: the Lagrangian approach.- 21 Dissipative quantum mechanics using GENERIC.- 22 Modelling of thin martensitic films with nonpolynomial stored energies.- 23 Linear Stability of Steady Flows of Jeffreys Type Fluids.