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Periodic orbits, invariant tori and chaotic behavior in certain nonequilibrium quadratic three-dimensional differential systems
(2018-01-01)
In (Jafari et al, Phys Lett A 377(9):699-702, 2013) the authors gave the expressions of seventeen classes of quadratic differential systems defined in R3, depending on one real parameter a, which present chaotic behavior ...
Locating invariant tori for a family of two-dimensional Hamiltonian mappings
(2011-10-15)
The location of invariant tori for a two-dimensional Hamiltonian mapping exhibiting mixed phase space is discussed. The phase space of the mapping shows a large chaotic sea surrounding periodic islands and limited by a set ...
Locating invariant tori for a family of two-dimensional Hamiltonian mappings
(2011-10-15)
The location of invariant tori for a two-dimensional Hamiltonian mapping exhibiting mixed phase space is discussed. The phase space of the mapping shows a large chaotic sea surrounding periodic islands and limited by a set ...
On piecewise smooth vector fields tangent to nested tori
(2016-10-05)
In this paper we present a number of results involving 3D nonsmooth dynamical systems tangent to a foliation. We study one-parameter families of systems Zε passing through a specific model Z0 whose phase portrait is foliated ...
On the formation of hidden chaotic attractors and nested invariant tori in the Sprott A system
(2017-04-01)
We consider the well-known Sprott A system, which depends on a single real parameter a and, for a= 1 , was shown to present a hidden chaotic attractor. We study the formation of hidden chaotic attractors as well as the ...
A tunable mechanism to control photo-dissociation with invariant tori with variable energies
(2018-01-15)
In this work, we investigate the classical dynamics of a polar diatomic molecule under the action of a space and time-dependent laser field. In the absence of laser fields, the phase space consists of a bound and an unbound ...
On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé–Hoover oscillator
(2018-05-01)
We consider the well-known Sprott A system, which is a special case of the widely studied Nosé–Hoover oscillator. The system depends on a single real parameter a, and for suitable choices of the parameter value, it is shown ...
Critical exponents for a transition from integrability to non-integrability via localization of invariant tori in the Hamiltonian system
(Iop Publishing Ltd, 2011-07-29)
Critical exponents that describe a transition from integrability to non-integrability in a two-dimensional, nonlinear and area-preserving map are obtained via localization of the first invariant spanning curve (invariant ...
Critical exponents for a transition from integrability to non-integrability via localization of invariant tori in the Hamiltonian system
(Iop Publishing Ltd, 2011-07-29)
Critical exponents that describe a transition from integrability to non-integrability in a two-dimensional, nonlinear and area-preserving map are obtained via localization of the first invariant spanning curve (invariant ...