Floquet states of a periodically kicked particle

Sikri, A K; Narchal, M. L.

doi:10.1007/bf02845845

Cited by 2 publications

(2 citation statements)

References 15 publications

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“…The investigation is motivated by a survey of the processes and phenomena based on inhomogeneous interaction, inertia particle properties, etc., known from mechanics, (SHF) electronics, techniques of particle acceleration, etc. (Bruk, 1990;Kanavetz et al, 1991;Miroshin and Halidov, 1991; Sikri and Narchal, 1993). In each particular case and regime the interaction mechanisms has been revealed differently (for example, calling like selfmodulation, grouping, phase selection and so on).…”

Section: Introductionmentioning

confidence: 99%

“Discrete” Oscillations and multiple attractors in kick‐excited systems

Damgov

Popov

2000

Discrete Dynamics in Nature and Society

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A class of kick-excited self-adaptive dynamical systems is formed and proposed. The class is characterized by nonlinear (inhomogeneous) external periodic excitation (as regards to the coordinates of excited systems) and is remarkable for its objective regularities: the phenomenon of “discrete” (“quantized”) oscillation excitation and strong self-adaptive stability. The main features of these systems are studied both numerically and analytically on the basis of a general model: a pendulum under inhomogeneous action of a periodic force which is referred to as a kicked pendulum. Multiple bifurcation diagram for the attractor set of the system under consideration is obtained and analyzed. The complex dynamics, evolution and the fractal boundaries of the multiple attractor basins in state space corresponding to energy and phase variables are obtained, traced and discussed. A two-dimensional discrete map is derived for this case. A general treatment of the class of kick-excited self-adaptive dynamical systems is made by putting it in correspondence to a general class of dissipative twist maps and showing that the latter is an immanent tool for general description of its behavior.

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Section: Introductionmentioning

confidence: 99%

“Discrete” Oscillations and multiple attractors in kick‐excited systems

Damgov

Popov

2000

Discrete Dynamics in Nature and Society

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“…It is also one of the most ubiquitous potentials in Nature, due to the existence of near equilibrium states. It is for these reasons that the classical and quantum mechanics of the explicitly time-dependent harmonic potential have been studied for many years [1,[3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Three manifestations of the pulsed harmonic potential

Newman

Zia

1998

J. Phys. A: Math. Gen.

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We consider, in turn, three systems being acted upon by a regularly pulsed harmonic potential (PHP). These are i) a classical particle, ii) a quantum particle, and iii) a directed line. We contrast the mechanics of the first two systems by parameterizing their bands of stability and periodicity. Interesting differences due to quantum fluctuations are examined in detail. The fluctuations of the directed line are calculated in the two cases of a binding PHP, and an unbinding PHP. In the latter case there is a finite maximum line length for a given potential strength.

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Floquet states of a periodically kicked particle

Cited by 2 publications

References 15 publications

“Discrete” Oscillations and multiple attractors in kick‐excited systems

“Discrete” Oscillations and multiple attractors in kick‐excited systems

Three manifestations of the pulsed harmonic potential

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