Lower-dimensional tori in reversible systems
From MaRDI portal
Publication:4390268
DOI10.1063/1.165858zbMath0899.58017OpenAlexW2047405796WikidataQ52444274 ScholiaQ52444274MaRDI QIDQ4390268
Publication date: 9 November 1998
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.165858
Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
Related Items (20)
New cases of quasiperiodic motions in reversible systems ⋮ KAM theorems for the product of two involutions of different types ⋮ The iteration-approximation decoupling in the reversible KAM theory ⋮ Non-algebraic integrability of the Chew-Low reversible dynamical system of the Cremona type and the relation with the 7th Hilbert problem (non-resonant case) ⋮ Partial preservation of frequencies and Floquet exponents in KAM theory ⋮ Unfoldings of quasi-periodic tori in reversible systems ⋮ A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character ⋮ Lyapunov stability of equilibrium states of reversible systems ⋮ Normal linear stability of quasi-periodic tori ⋮ Stability of periodic orbits in no-slip billiards ⋮ The reversible context 2 in KAM theory: the first steps ⋮ Persistence of lower dimensional invariant tori in a class of reversible systems ⋮ Quasi-periodic perturbations within the reversible context 2 in KAM theory ⋮ The Lagrangian stability for a class of second-order quasi-periodic reversible systems ⋮ KAM-stable Hamiltonians ⋮ Degenerate lower-dimensional tori in Hamiltonian systems ⋮ The finite-dimensional reversible KAM theory ⋮ Stability of invariant curves in four-dimensional reversible mappings near 1:1 resonance ⋮ Steiner triangular drop dynamics ⋮ Existence of invariant tori for certain weakly reversible mappings
Cites Work
- Unnamed Item
- Homoclinic bifurcations and the area-conserving Henon mapping
- Bifurcations in two-dimensional reversible maps
- Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m
- On the geometry of transport in phase space. I. Transport in k-degree-of- freedom Hamiltonian systems, \(2\leq k<\infty\)
- Universal behaviour in families of area-preserving maps
- A two-dimensional mapping with a strange attractor
- Bifurcations in distributed kinetic systems with aperiodic instability
- The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
- Bifurcation of subharmonic solutions in time-reversible systems
- On the symmetry lines of the standard mapping
- Bifurcation of quasi-periodic solutions from equilibrium points of reversible dynamical systems
- Isochronous and period doubling bifurcations of periodic solutions of non-integrable Hamiltonian systems with reflexion symmetries
- On elliptic lower dimensional tori in Hamiltonian systems
- Bifurcations of subharmonic solutions in reversible systems
- Periodic orbits for reversible, symplectic mappings
- Hamiltonian systems with a discrete symmetry
- Symmetry and bifurcation of fixed points of area preserving maps
- Critical Behavior of a KAM surface. I: Empirical results
- Convergent series expansions for quasi-periodic motions
- Quasi-periodic solutions of Hamiltonian systems
- On the conservation of hyperbolic invariant tori for Hamiltonian systems
- Integrability of hamiltonian systems on cantor sets
- Subharmonic Branching in Reversible Systems
- Bifurcation of spatially quasi-periodic solutions in hydrodynamic stability problems
- Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation
- On invariant tori of reversible systems in the neighbourhood of an equilibrium position
- Coexistence of periodic points in reversible dynamical systems on a surface
- Period doubling in six-dimensional symmetric volume-preserving maps
- Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
- Generalized implicit function theorems with applications to some small divisor problems, II
- Coexistence of symmetric periodic points in the standard map
- Quasi-periodic solutions of the plane three-body problem near Euler's orbits
- An implicit function theorem for small divisor problems
- Numerical study of quadratic area-preserving mappings
- On the Theory of Quasiperiodic Motions
This page was built for publication: Lower-dimensional tori in reversible systems
