Continuation of periodic orbits in conservative and Hamiltonian systems

From MaRDI portal
Publication:1811828

DOI10.1016/S0167-2789(03)00097-6zbMath1024.37037OpenAlexW2076273493MaRDI QIDQ1811828

Francisco Javier Muñoz-Almaraz, Emilio Freire, Eusebius J. Doedel, André Vanderbauwhede, J. Galan

Publication date: 17 June 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(03)00097-6



Related Items

Platonic solids and symmetric solutions of the \(N\)-vortex problem on the sphere, Computation of nonreciprocal dynamics in nonlinear materials, Continuation of normal doubly symmetric orbits in conservative reversible systems, Computer assisted proof of homoclinic chaos in the spatial equilateral restricted four-body problem, Methods of continuation and their implementation in the COCO software platform with application to delay differential equations, Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics, Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem, BIFURCATION BEHAVIOR OF THE FURUTA PENDULUM, ELEMENTAL PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS IN THE CIRCULAR RESTRICTED 3-BODY PROBLEM, How do conservative backbone curves perturb into forced responses? A Melnikov function analysis, Rovibrational dynamics of the RbCs molecule in static electric fields. Classical study, Stability and bifurcations of even periodic orbits in the Sitnikov problem, Quantitative Stability of Certain Families of Periodic Solutions in the Sitnikov Problem, High-precision continuation of periodic orbits, Validated numerics for period-tupling and touch-and-go bifurcations of symmetric periodic orbits in reversible systems, Stability of forced–damped response in mechanical systems from a Melnikov analysis, New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems, Choreographies in the \(n\)-vortex problem, New families of periodic orbits in the 4-body problem emanating from a kite configuration, CONNECTING SYMMETRIC AND ASYMMETRIC FAMILIES OF PERIODIC ORBITS IN SQUARED SYMMETRIC HAMILTONIANS, Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence, Spatial unstable periodic quasi-satellite orbits and their applications to spacecraft trajectories, Robust heteroclinic cycles in the one-dimensional complex Ginzburg-Landau equation, Continuation of relative periodic orbits in a class of triatomic Hamiltonian systems, Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the \(n\)-body problem, Motion of the moonlet in the binary system 243 Ida, Families of symmetric exchange orbits in the planar \((1+2n)\)-body problem, Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations, Families of periodic orbits in Hill's problem with solar radiation pressure: application to Hayabusa 2, On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models, A Taylor series-based continuation method for solutions of dynamical systems, Fast computation of steady-state response for high-degree-of-freedom nonlinear systems, Continuation of relative equilibria in the \(n\)-body problem to spaces of constant curvature, Weak coupling limit and localized oscillations in Euclidean invariant Hamiltonian systems, Numerical continuation of Hamiltonian relative periodic orbits, Spatial relative equilibria and periodic solutions of the Coulomb \((n+1)\)-body problem, Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation, A restricted four-body problem for the figure-eight choreography, Global Nonlinear Normal Modes in the Fullerene Molecule $C_{60}$, Bifurcations of the normal modes of the \(\text{Ne} \cdots \text{Br}_{2}\) complex, Continuation of periodic solutions of dissipative and conservative systems: application to elastic pendulum, The spatial Hill four-body problem. I: An exploration of basic invariant sets, DYNAMICS AND BIFURCATIONS OF A NONHOLONOMIC HEISENBERG SYSTEM, A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems, Stability of discrete breathers in nonlinear Klein-Gordon type lattices with pure anharmonic couplings, Exchange orbits in the planar \(1+4\) body problem


Uses Software


Cites Work