4 citations · 7 across the 6 of their papers we have counts for
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Melnikov method approach to control of homoclinic and heteroclinic chaos by weak harmonic excitations
Ricardo Chacon
A review on the application of Melnikov's method to control homoclinic and heteroclinic chaos in low-dimensional, non-autonomous and dissipative, oscillator systems by weak harmoni…
Chaotic dynamics of charged particles in the field of a finite non-uniform wave packet
Ricardo Chacon
A generalization of the Chirikov-Taylor model is introduced to study the dynamics of a charged particle in the field of an electrostatic wave packet with an arbitrary but finite nu…
Dissipative dynamics of a charged particle in the field of three plane waves: chaos and control
Ricardo Chacon
The chaotic dissipative dynamics of a charged particle in the field of three plane waves is theoretically (Melnikov's method) and numerically (Lyapunov exponents) investigated. In…
A mathematical description of natural shapes in our nonlinear world
R. Chacon
The work presents two examples of simple mathematical formulas which are natural nonlinear modifications (one being a generalization) of Gielis' formula. These formulas involve a c…