The motion of a particle subjected to simple inner (outer) periodic perturbations when it evolves around a center of attraction modeled by an inverse square law plus a quadrupole-like term is studied. The equations of motion are used to reduce the Melnikov method to the study of simple graphics. © 1998 Elsevier Science B.V.2421-2712Poincaré, H., (1892) Les Methodes Nouvelles de la Méchanique Celeste, , Gauthier-Villars, ParisBai-Lin, H., (1982) Chaos, , World Scientific, SingaporeArnold, V.I., Dynamical systems (1988) Encyclopaedia of Mathematical Sciences, 3. , Springer, BerlinMelnikov, V.K., (1963) Trans. Moscow Math. Soc., 12, p. 1Holmes, P.J., Marsden, J.E., (1982) J. Math. Phys., 23, p. 669(1982) Comm. Math. Phys., 82, p. 523Holmes, P....
[[abstract]]© 1997 Institute of Electrical and Electronics Engineers - Melnikov function techniques ...
We study numerically the dynamics of Chaplygin sleigh under the action of the quadratic potential fi...
We show that in addition to the length of the Bloch vector there exists an energylike integral of mo...
The motion of a particle subjected to simple inner (outer) periodic perturbations when it evolves ar...
The Melnikov method is applied to periodically perturbed open systems modeled by an inverse-square-l...
The dissipative chaotic dynamics of a particle subjected to a horizontally vibrating periodic potent...
The motion of particles in the field of forces associated to an axially symmetric attraction center ...
The Melnikov method is applied to periodically perturbed open systems modeled by an inverse-square-l...
AbstractBy computing the Poincaréʼs surfaces of section and Lyapunov exponents, we study the effect ...
(Communicated by Àngel Jorba) Abstract. The standard Melnikov method for analyzing the onset of cha...
The general relativistic Poynting-Robertson effect is a dissipative and nonlinear dynamical system o...
The general relativistic Poynting-Robertson effect is a dissipative and nonlinear dynamical system o...
The general relativistic Poynting-Robertson effect is a dissipative and nonlinear dynamical system o...
The general relativistic Poynting-Robertson effect is a dissipative and nonlinear dynamical system o...
Melnikov's method is an analytical way to show the existence of classical chaos generated by a Smale...
[[abstract]]© 1997 Institute of Electrical and Electronics Engineers - Melnikov function techniques ...
We study numerically the dynamics of Chaplygin sleigh under the action of the quadratic potential fi...
We show that in addition to the length of the Bloch vector there exists an energylike integral of mo...
The motion of a particle subjected to simple inner (outer) periodic perturbations when it evolves ar...
The Melnikov method is applied to periodically perturbed open systems modeled by an inverse-square-l...
The dissipative chaotic dynamics of a particle subjected to a horizontally vibrating periodic potent...
The motion of particles in the field of forces associated to an axially symmetric attraction center ...
The Melnikov method is applied to periodically perturbed open systems modeled by an inverse-square-l...
AbstractBy computing the Poincaréʼs surfaces of section and Lyapunov exponents, we study the effect ...
(Communicated by Àngel Jorba) Abstract. The standard Melnikov method for analyzing the onset of cha...
The general relativistic Poynting-Robertson effect is a dissipative and nonlinear dynamical system o...
The general relativistic Poynting-Robertson effect is a dissipative and nonlinear dynamical system o...
The general relativistic Poynting-Robertson effect is a dissipative and nonlinear dynamical system o...
The general relativistic Poynting-Robertson effect is a dissipative and nonlinear dynamical system o...
Melnikov's method is an analytical way to show the existence of classical chaos generated by a Smale...
[[abstract]]© 1997 Institute of Electrical and Electronics Engineers - Melnikov function techniques ...
We study numerically the dynamics of Chaplygin sleigh under the action of the quadratic potential fi...
We show that in addition to the length of the Bloch vector there exists an energylike integral of mo...