Limit Cycle Oscillations
We discuss the origin of different kinds of limit cycle oscillations. Limit cycle is a trajectory for which energy of the system would be constant over a cycle - i.e. on an average there is no loss or gain of energy. Limit cycle is an outcome of delicate energy balance due to the presence of nonlinear term in the equation of motion. In practise most systems are dissipative and we require this delicate energy balance between the energy dissipation and the energy input of the system to draw it to the attractor, which in principle can both be stable fixed point or limit cycle. It is generally believed that limit cycle can only be produced by the nonlinearity of the system. We will demonstrate here that linear systems under memory effects can lead to similar scenario. The memory dependent model suggests the possibility of other types of dynamical systems that produces limit cycles.
Keywordslimit cycle oscillations
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