In this work we study numerically the breakdown of discrete symmetries in a Hamiltonian system with two degrees of freedom. The initial Hamiltonian is invariant under time-reversal (t --> -t) and reflexion through an axis (x --> -x). These symmetries are then broken by the insertion of a magnetic field and a term of the form gammax3. The effects of these perturbations are studied in terms of Poincare sections and periodic orbits. (C) 1994 Academic Press, Inc.231229031
Classically chaotic systems possess a proliferation of periodic orbits. This phenomenon was observed...
In this paper we survey the topic of time-reversal symmetry in dynamical systems. We begin with a br...
We develop an analytic technique to study the dynamics in the neighborhood of a periodic trajectory ...
We give explicit differential equations for a symmetric Hamiltonian vector field near a relative per...
Regular and stochastic behaviour in single particle orbits in static magnetic reversals have wide ap...
In this article we discuss the symmetries of periodic solutions to Hamiltonian systems with two degr...
We investigates the orbit structure of two degrees of freedom nonlinear Hamiltonian systems around s...
A reflecting symmetry q 7→ −q of a Hamiltonian system does not leave the symplectic structure dq∧dp ...
Symmetry breaking bifurcations and dynamical systems have obtained a lot of attention over the last ...
We consider symmetric 2 degree of freedom Hamiltonian systems which are reso-nant because of the sym...
Classical Hamiltonian systems with time-reversal symmetry have periodic orbits of two kinds-symmetry...
AbstractThe existence of periodic orbits for Hamiltonian systems at low positive energies can be ded...
We study the existence of families of periodic orbits near a symmetric equilibrium point in differen...
In this paper we survey the topic of time-reversal symmetry in dynamical systems. We begin with a br...
Symmetry braking bifurcations and dynamical systems have obtained a lot of attention over the last y...
Classically chaotic systems possess a proliferation of periodic orbits. This phenomenon was observed...
In this paper we survey the topic of time-reversal symmetry in dynamical systems. We begin with a br...
We develop an analytic technique to study the dynamics in the neighborhood of a periodic trajectory ...
We give explicit differential equations for a symmetric Hamiltonian vector field near a relative per...
Regular and stochastic behaviour in single particle orbits in static magnetic reversals have wide ap...
In this article we discuss the symmetries of periodic solutions to Hamiltonian systems with two degr...
We investigates the orbit structure of two degrees of freedom nonlinear Hamiltonian systems around s...
A reflecting symmetry q 7→ −q of a Hamiltonian system does not leave the symplectic structure dq∧dp ...
Symmetry breaking bifurcations and dynamical systems have obtained a lot of attention over the last ...
We consider symmetric 2 degree of freedom Hamiltonian systems which are reso-nant because of the sym...
Classical Hamiltonian systems with time-reversal symmetry have periodic orbits of two kinds-symmetry...
AbstractThe existence of periodic orbits for Hamiltonian systems at low positive energies can be ded...
We study the existence of families of periodic orbits near a symmetric equilibrium point in differen...
In this paper we survey the topic of time-reversal symmetry in dynamical systems. We begin with a br...
Symmetry braking bifurcations and dynamical systems have obtained a lot of attention over the last y...
Classically chaotic systems possess a proliferation of periodic orbits. This phenomenon was observed...
In this paper we survey the topic of time-reversal symmetry in dynamical systems. We begin with a br...
We develop an analytic technique to study the dynamics in the neighborhood of a periodic trajectory ...