Naslov
Energy conservation and chaos in the gravitationally driven Fermi oscillator

Autori
Lopac, Vjera ; Dananić, Vladimir

Izvornik
American journal of physics (0002-9505) 66 (1998), 10; 892-902

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
bouncing ball; chaotic behavior; conservation system; coupled oscillators; energy conservation; Fermi oscillator; impact oscillator; oscillatory motion; phase portraits

Sažetak
Chaotic dynamics of the two-body conservative system, which consists of a particle of mass m bouncing elastically on a horizontal plate of mass M supported by an elastic spring, is investigated. The system integrates the properties of coupled oscillators with those of the bouncing ball and impact oscillator problems. Results obtained by varying the mass ratio M/m and the spring constant k in numerical computations are presented in the form of time-dependent diagrams and discrete maps. The rich variety of resulting chaotic behavior includes strange attractors with fractal structure, resonant islands, crisis, and intermittency route to chaos. The system has a remarkable didactic value as an example of chaotic behavior in simple systems close to everyday experience. The integrable limit M=0 is appropriate for introducing the phase portraits and discussing the interrelationship between the shape of the potential energy curves and the resulting oscillatory motion.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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