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Title: Experimental and numerical realization of higher order autonomous Van der Pol-Duffing oscillator
Authors: Balachandran, V
Kandiban, G
Keywords: Chaos;Hyperchaos;Higher order autonomous Van der Pol-Duffing oscillator;Power spectrum
Issue Date: Nov-2009
Publisher: CSIR
Abstract: The application of the hyperchaotic dynamics will enhance the engineering system such as chaos based security of communication in information technology. Interest in such systems has been increasing. Some interesting phenomena of higher order autonomous Van der Pol-Duffing oscillator based on fifth order hyperchaotic circuit to improve secure communication have been studied in the present paper. This circuit, which is capable of realizing the behaviour of every member of the autonomous Van der Pol-Duffing family, consists of just six linear elements (resistor, inductors and capacitors) and a smooth cubic non-linearity. In this circuit, we can confirm period doubling routes to chaos and then to hyperchaos through boundary condition, when the system parameter varies. The hyperchaotic dynamics, characterized by broad band power spectrum, is presented to confirm the hyperchaotic nature of the oscillations of the circuit. This has been investigated extensively using laboratory experiments and numerical integration of the appropriate differential equations.
Page(s): 823-827
ISSN: 0975-1041 (Online); 0019-5596 (Print)
Appears in Collections:IJPAP Vol.47(11) [November 2009]

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